Fundamental mathematics: algebraic topology, applications of topology in combinatorics and combinatorial geometry, Lie Group theory, multivalued groups, functional equations, theory of abelian functions.
Victor Matveevich Buchstaber [Bukhshtaber] was born in the family of an army officer, in Tashkent, on 1 April, 1943. In 1960 Buchstaber entered the Faculty of Mechanics and Mathematics of the Tashkent State University. On the initiative of the Department of Higher Geometry and Topology, in 1964 he was transferred to the Faculty of Mechanics and Mathematics of the Moscow State University. In 1966 Buchstaber graduated from the Moscow State University. In 1966-69 he was a postgraduate student in the Faculty of Mechanics and Mathematics of the Moscow State University, under the supervision of S.P. Novikov and D. B. Fuks (Fuchs). Upon the completion of his post-graduate studies, in 1970 he defended his PhD dissertation “Cohomological operations in generalized cohomology theories”. In 1971 he was awarded a Young Scholars Prize of the Moscow Mathematical Society for his contribution to K-theory and cobordism theory. In 1984 he defended his dissertation “Two-valued formal groups. Algebraic theory and topological applications” towards a DSc degree in physical and mathematical sciences. In 2006 V. M. Buchstaber became a corresponding member of the Russian Academy of Sciences.
Now V.M. Buchstaber is a principle researcher in the Department of Geometry and Topology of the Steklov Mathematical Institute.
In 1969, on completing the post-graduate program Buchshtaber began to work at the All-Union Research Institute of Physical, Technical, and Radiotechnical Measurements, where he made his way from a research assistant to the head of the Laboratory of Complex Information Systems Metrology and Mathematical Modelling. While at the Institute of Physical, Technical, and Radiotechnical Measurements, he governed large-scale parts of government programmes.
Since 1996, he was working on a part-time basis as a senior researcher in the Department of Geometry and Topology of the Steklov Mathematical Institute. Since 2002 he works full time in the Steklov Mathematical Institute and still holds a part-time position at the All-Union Research Institute of Physical, Technical, and Radiotechnical Measurements.
Since 1993 Buchstaber has been teaching in the Department of Higher Geometry and Topology of the Faculty of Mechanics and Mathematics of the Moscow State University, since 2000 as a professor. Since 2007 he works as a principle researcher at the A.A Kharkevich Institute for Information Transmission Problems of the RAS. In 2005-2010 V.M. Buchstaber also worked as a professor of the Manchester University on a part-time basis.
Since 1994 Buchstaber has held valuable scientific and administrative positions in international and Russian scientific organizations. He is a member of the governing body of the Moscow Mathematical Society (since 1994), and in 2010 was elected its vice-president. From 2001 till 2008 he was a member of the Executive Committee of the European Mathematical Society. Now he is a member of the National Committee of Mathematicians of the Russian Federation, a deputy chairman of the Expert Committee of the Russian Foundation for Basic Research (RFBR), a member of the Expert Council on Mathematics and Mechanics of the Higher Certification Committee of the Russian Federation, a member of the Scientific Council of the French-Russian Poncelet Laboratory of mathematics, informatics and mathematical physics, under the auspices of the RAS, IUM and CNRS.
V.M. Buchstaber is a deputy editor-in-chief of the “Uspekhi Matematicheskikh Nauk” journal (since 1995), a member of the editorial board of the “Funktsional’nyi Analiz i ego Prilozheniya” journal (since 1995), a member of the editorial council of “Teoriya Veroyatnostei i ee Prilozheniya” journal (since 1997), a member of the editorial board of the “Moscow Mathematical Journal” (since 2001), a member of the editorial board of the “Tbilisi Mathematical Journal” (since 2006), a member of the editorial board of the “Trudy Matematicheskogo Instituta im. Steklova” (since 2008).
As a member of the programme and organizing committees, he does much work in arranging international mathematical conferences in Russia and abroad. In 1998 Buchstaber was the chairman of the organizing committee of the international conference “Solitons, Geometry and Topology: on the Crossroads” which was dedicated to the 60th birthday of S. P. Novikov. In 2004 and 2008 he was the co-chairman of satellite conferences of European Mathematical Congresses. In 2008 Buchstaber was the chairman of LXXI Moscow Mathematics Olympiad.
In 1974 V.M. Buchstaber was invited to the International Congress of Mathematicians in Vancouver (Canada) as a speaker. He gave honorary invited talks in many leading research centres around the world. He was invited as a principal lecturer (Adams memorial lecturer) to the J. F. Adams Memorial Conference in Manchester, Great Britain (1995), to the Joint Brandeis-Harvard-MIT-Northestern Mathematical Colloquium, Boston, USA (2001), Leicester Special Mathematical Event: The Worlds of Mathematics, Lester, Great Britain (2008), to the Berlin Mathematical School Colloquium, Urania, Berlin, Germany (2010).
In 2004 V.M. Buchstaber was elected a foreign member of the Scotland Academy of Sciences, and in 2010 was made a honorary professor of the Manchester University.
Buchstaber is the author of more than 250 research papers and monographs in mathematics, applied mathematics, mathematical physics, and applied statistics. The cycle of his works “Effective analysis on Riemann surfaces. The theory of Klein sigma functions.” was included into the list of best works of the Russian Academy of Sciences in 1999, a cycle of his papers on toric topology was included into the list of best works of the Steklov Mathematical Institute in 2007. V. Buchstaber has founded a large scientific school on algebraic topology and its applications. He has supervised over 20 PhD theses.
Main publications:
V. M. Buchstaber, T. E. Panov, Toric Topology, Mathematical Surveys and Monographs, 204, Amer. Math. Soc., 2015 , 518 pp., arXiv: 1210.2368v3
V. M. Bukhshtaber, T. E. Panov, “Deistviya torov, kombinatornaya topologiya i gomologicheskaya algebra”, UMN, 55:5(335) (2000), 3–106
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Uniformizatsiya mnogoobrazii Yakobi trigonalnykh krivykh i nelineinye differentsialnye uravneniya”, Funkts. analiz i ego pril., 34:3 (2000), 1–16
V. M. Bukhshtaber, “Funktsionalnye uravneniya, assotsiirovannye s teoremami slozheniya dlya ellipticheskikh funktsii, i dvuznachnye algebraicheskie gruppy”, UMN, 45:3(273) (1990), 185–186
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. I”, Izv. AN SSSR. Ser. matem., 39:5 (1975), 1044–1064
V. M. Bukhshtaber, “Kharakter Chzhenya–Dolda v kobordizmakh. I”, Matem. sb., 83(125):4(12) (1970), 575–595
V. M. Buchstaber, S. I. Tertychnyi, TMF (to appear)
2020
2.
V. M. Buchstaber, E. Yu. Bunkova, Mat. Zametki, 108:1 (2020), 17–32
3.
S. I. Adian, V. M. Buchstaber, E. I. Zel'manov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his eightieth birthday)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 197–200
4.
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sosinskii, J. Stasheff, D. B. Fuchs, A. Ya. Helemskii, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 185–190
2019
5.
V. M. Buchstaber, A. P. Veselov, “Conway topograph, $\mathrm{PGL}_2(\pmb{\mathbb Z})$-dynamics and two-valued groups”, Russian Math. Surveys, 74:3 (2019), 387–430 (cited: 1) (cited: 1)
6.
V. M. Buchstaber, S. Terzić, “The foundations of $(2n,k)$-manifolds”, Sb. Math., 210:4 (2019), 508–549 (cited: 1)
7.
Takanori Ayano, Victor M. Buchstaber, “Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3”, SIGMA, 15 (2019), 32 , 15 pp., arXiv: 1811.07138 (cited: 1) (cited: 1) (cited: 1)
8.
V. M. Buchstaber, V.Ż. Enolski, D. V. Leykin, “Sigma-functions: old and new results”, Integrable Systems and Algebraic Geometry, v. 2, LMS Lecture Note Series, Cambridge Univ. Press, 2019 (to appear)
9.
T. Ayano, V. M. Buchstaber, “Ultraelliptic integrals and two-dimensional sigma-functions”, Funct. Anal. Appl., 53:3 (2019), 157–173
10.
V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136
11.
V. M. Buchstaber, A. A. Glutsyuk, “Total positivity, Grassmannian and modified Bessel functions”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemp. Math., 733, AMS, 2019, 97–107 (cited: 1)
12.
V. M. Buchstaber, S. Terzić, “Toric topology of the complex Grassmann manifolds”, Mosc. Math. J., 19:3 (2019), 397–463;
13.
V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933
14.
V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162
2018
15.
V. M. Buchstaber, S. I. Tertychnyi, “Representations of the Klein Group Determined by Quadruples of Polynomials Associated with the Double Confluent Heun Equation”, Math. Notes, 103:3 (2018), 357–371 (cited: 3) (cited: 3)
16.
V. M. Buchstaber, S. Terzic, Toric topology of the complex Grassmann manifolds, 2018 , arXiv: 1802.06449v2
17.
V. M. Buchstaber, “Cobordisms, manifolds with torus action, and functional equations”, Proc. Steklov Inst. Math., 302 (2018), 48–87 (cited: 4) (cited: 4)
18.
V. M. Buchstaber, V. I. Dragovich, “Two-Valued Groups, Kummer Varieties, and Integrable Billiards”, Arnold Math. J., 4:1 (2018), 27–57 (cited: 1) (cited: 2)
19.
V. Buchstaber, V. Enolski, D. Leykin, “Multi-variable sigma-functions: old and new results”, 2018, arXiv: 1810.11079
20.
V. Buchstaber, I. Limonchenko, “Direct families of polytopes with nontrivial massey products”, 2018, arXiv: 1811.02221v1
21.
V. M. Buchstaber, A. V. Mikhailov, “Polynomial Hamiltonian integrable systems on symmetric powers of plane curves”, Russian Math. Surveys, 73:6 (2018), 1122–1124 (cited: 1)
22.
T. Ayano, V. M. Buchstaber, Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3, 2018 , arXiv: 1811.07138v1
23.
T. Ayano, V. M. Buchstaber, The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications, 2018 , arXiv: 1811.05806v1
24.
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, MP 2016 (Kezenoi-Am, Russia, 31 October–2 November, 2016), Springer Proceedings in Mathematics & Statistics, 273, Springer, Cham, 2018 , xi+216 pp.
25.
V. M. Buchstaber, P. A. Kuchment, S. P. Novikov, E. M. Semenov, “To the memory of Selim Grigor'evich Krein (1917–1998)”, Russian Math. Surveys, 73:1 (2018), 187–190
26.
B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Russian Math. Surveys, 73:1 (2018), 161–167
27.
Topologiya i fizika, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 302, ed. V. M. Bukhshtaber, I. A. Dynnikov, O. K. Sheinman, MAIK «Nauka/Interperiodika», M., 2018 , 399 pp.
28.
V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Russian Math. Surveys, 73:4 (2018), 737–746
29.
A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939
30.
G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136
31.
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, “Introduction”, Recent developments in integrable systems and related topics of mathematical physics, MP 2016 (Kezenoi-Am, Russia, 31 October–2 November, 2016), Springer Proceedings in Mathematics & Statistics, 273, Springer, Cham, 2018, 1-2
32.
I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545
2017
33.
V. M. Buchstaber, A. V. Mikhailov, “Infinite-Dimensional Lie Algebras Determined by the Space of Symmetric Squares of Hyperelliptic Curves”, Funct. Anal. Appl., 51:1 (2017), 2–21 (cited: 7) (cited: 6)
34.
V. M. Buchstaber, A. A. Glutsyuk, “On Monodromy Eigenfunctions of Heun Equations and Boundaries of Phase-Lock Areas in a Model of Overdamped Josephson Effect”, Proc. Steklov Inst. Math., 297 (2017), 50–89 (cited: 5) (cited: 4)
35.
Victor M. Buchstaber, Nikolay Yu. Erokhovets, “Finite sets of operations sufficient to construct any fullerene from $C_{20}$”, Structural Chemistry, 28:1 (2017), 225–234 (cited: 7) (cited: 8)
36.
V. M. Buchstaber, N. Yu. Erokhovets, M. Masuda, T. E. Panov, S. Park, “Cohomological rigidity of manifolds defined by 3-dimensional polytopes”, Russian Math. Surveys, 72:2 (2017), 199–256 (cited: 14) (cited: 11)
37.
V. M. Buchstaber, N. Yu. Erokhovets, “Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes”, Izv. Math., 81:5 (2017), 901–972 (cited: 8) (cited: 9)
38.
T. Ayano, V. M. Buchstaber, “The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications”, Funct. Anal. Appl., 51:3 (2017), 162–176 (cited: 1) (cited: 1)
39.
V. M. Buchstaber, “Polynomial Lie algebras and the Zelmanov–Shalev theorem”, Russian Math. Surveys, 72:6 (2017), 1168–1170 (cited: 4) (cited: 3)
40.
V. M. Buchstaber, A. A. Glutsyuk, Total positivity, Grassmannian and modified Bessel functions, 2017 , arXiv: 1708.02154v1
41.
V. M. Buchstaber, A. V. Mikhailov, The space of symmetric squares of hyperelliptic curves and integrable Hamiltonian polynomial systems on $R^4$, 2017 , arXiv: 1710.00866v1
42.
V. M. Buchstaber, Nikolay Yu. Erokhovets, “Fullerenes, polytopes and toric topology”, Combinatorial and toric homotopy. Introductory lectures, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap., 35, World Scientific, 2017, 67–178 (cited: 8) (cited: 2) (cited: 2)
2016
43.
E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient Rings of Tate Formal Groups Determining Krichever Genera”, Proc. Steklov Inst. Math., 292 (2016), 37–62 (cited: 4) (cited: 2)
44.
Victor M. Buchstaber, Svjetlana Terzić, “Topology and geometry of the canonical action of $T^4$ on the complex Grassmannian $G_{4,2}$ and the complex projective space $\mathbb CP^5$”, Mosc. Math. J., 16:2 (2016), 237–273 , arXiv: 1410.2482 (cited: 5) (cited: 7) (cited: 6)
45.
V. M. Buchstaber, “Polynomial dynamical systems and the Korteweg–de Vries equation”, Proc. Steklov Inst. Math., 294 (2016), 176–200 (cited: 10) (cited: 9)
46.
V. M. Buchstaber, S. I. Tertychnyi, “Automorphisms of the solution spaces of special double-confluent Heun equations”, Funct. Anal. Appl., 50:3 (2016), 176–192 (cited: 7) (cited: 5)
47.
V. M. Buchstaber, A A Glutsyuk, “On determinants of modified Bessel functions and entire solutions of double confluent Heun equations”, Nonlinearity, 29 (2016), 3857–3870 , arXiv: 1509.01725 (cited: 6) (cited: 7)
48.
V. M. Buchstaber, T. E. Panov, “On manifolds defined by 4-colourings of simple 3-polytopes”, Russian Math. Surveys, 71:6 (2016), 1137–1139 (cited: 7) (cited: 7)
49.
Algebra, geometriya i teoriya chisel, Sbornik statei. K 75-letiyu so dnya rozhdeniya akademika Vladimira Petrovicha Platonova, Tr. MIAN, 292, ed. V. M. Bukhshtaber, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2016 , 279 pp.
50.
V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176
51.
V. M. Buchstaber, S. M. Gusein-Zade, M. È. Kazarian, V. V. Kozlov, S. K. Lando, S. P. Novikov, D. O. Orlov, A. G. Khovanskii, “Viktor Anatol'evich Vassiliev (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1153–1157
52.
Yu. V. Nesterenko, V. A. Bykovskii, V. M. Buchstaber, V. G. Chirsky, V. N. Chubarikov, A. Laurinchikas, N. M. Dobrovolsky, N. V. Budarina, I. V. Gaishun, V. V. Beresnevich, D. V. Vasiliev, “Vasily Ivanovich Bernik (on his seventieth)”, Chebyshevskii Sb., 17:4 (2016), 203–210
2015
53.
V. M. Buchstaber, T. E. Panov, Toric Topology, Mathematical Surveys and Monographs, 204, Amer. Math. Soc., 2015 , 518 pp., arXiv: 1210.2368v3
54.
V. M. Buchstaber, S. I. Tertychnyi, “Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction”, Theoret. and Math. Phys., 182:3 (2015), 329–355 (cited: 9) (cited: 1) (cited: 1) (cited: 8)
55.
V. M. Buchstaber, E. Yu. Bunkova, “The universal formal group that defines the elliptic function of level 3”, Chebyshevskii Sb., 16:2 (2015), 66–78
56.
V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133 (cited: 7) (cited: 8)
57.
V. M. Buchstaber, S. I. Tertychnyi, “On a Remarkable Sequence of Bessel Matrices”, Math. Notes, 98:5 (2015), 714–724 (cited: 5) (cited: 3)
58.
V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Sb. Math., 206:11 (2015), 1524–1563 (cited: 9) (cited: 4)
59.
V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of Solutions for Hirzebruch Functional Equations”, Proc. Steklov Inst. Math., 290 (2015), 125–137 (cited: 7) (cited: 2) (cited: 2) (cited: 5)
60.
V. M. Buchstaber, I. V. Netay, “Hirzebruch Functional Equation and Elliptic Functions of Level $d$”, Funct. Anal. Appl., 49:4 (2015), 239–252 (cited: 3) (cited: 2)
61.
International Conference Proceedings (6–12 September 2015, Khabarovsk), eds. V. M. Buchstaber, V. A. Bykovskii, TOGU, 2015 , 140 pp.
62.
V. M. Buchstaber, “Toric Topology and Carbon Structures (Fullerenes and Grafenes)”, International Conference Proceedings (6–12 September 2015, Khabarovsk), TOGU, 2015, 9–10
63.
V. M. Bukhshtaber, N. Yu. Erokhovets, “Toricheskaya topologiya fullerenov”, tezisy doklada, Materialy Mezhdunarodnoi konferentsii (6–12 sentyabrya 2015 g., Khabarovsk), Izd. TOGU, 2015, 69–70
64.
V. M. Bukhshtaber, G. D. Solomadin, Yu. M. Ustinovskii, “Dvuparametricheskii rod Todda i toricheskie razresheniya osobennostei”, tezisy doklada, Materialy Mezhdunarodnoi konferentsii (6–12 sentyabrya 2015 g., Khabarovsk), Tikhookeanskii gosudarstvennyi universitet, Khabarovsk, 2015, 112–113
65.
V. M. Buchstaber, “Fullerenes and polygonal partitions of surfaces”, abstract, 3-rd Workshop on Analysis, Geometry and Probability (September 28 – October 2, 2015 Ulm University, Germany), DAAD, 2015, 22
66.
V. M. Buchstaber, N. Yu. Erokhovets, Construction of Fullerenes, 2015 , arXiv: 1510.02948 v1 [math.CO]
67.
V. M. Buchstaber, A. A. Kustarev, “Embedding theorems for quasi-toric manifolds given by combinatorial data”, Izv. Math., 79:6 (2015), 1157–1183
68.
S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zelmanov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (on his 75th birthday)”, Russian Math. Surveys, 70:1 (2015), 197–201 (cited: 2) (cited: 4)
69.
S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381
70.
V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973
71.
Geometriya, topologiya i prilozheniya, Sbornik statei. K 70-letiyu so dnya rozhdeniya professora Nikolaya Petrovicha Dolbilina, Tr. MIAN, 288, ed. V. M. Bukhshtaber, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2015 , 287 pp.
72.
S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zel'manov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (to the 75 anniversary since the birth of)”, Chebyshevskii Sb., 16:4 (2015), 6–10
2014
73.
V. M. Buchstaber, S. I. Tertychnyi, “Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect”, Russian Math. Surveys, 69:2 (2014), 383–385 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
74.
V. M. Buchstaber, E. Yu. Netay, “$\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology”, Russian Math. Surveys, 69:4 (2014), 757–759 (cited: 5)
75.
V. M. Buchstaber, E. Yu. Netay, Differential-algebraic solutions of the heat equation, 2014 , 11 pp., arXiv: 1405.0926
76.
V. M. Buchstaber, S. Terzic, Towards the theory of $(2n,k)$-manifolds: primary examples, 2014 , arXiv: 1410.2482
77.
V. M. Buchstaber, E. Yu. Netay, “Differential-algebraic solutions of the heat equations”, Tezisy dokladov VII Mezhdunorodnoi konferentsii po differentsialnym i funktsionalno-differentsialnym uravneniyam (DFDE) (Moskva, 22–24 avgusta 2014 g.), 2014, 25–26http://dfde2014.mi.ras.ru/files/abstracts.pdf
V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever (Eds.), Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, 2014 , 393 pp.
80.
V. M. Buchstaber, “Dynamical system on a torus associated to Josephson junction model”, International Conference Applied and Geometrical Analysys (Samarkand, Uzbekistan, 22–25 September 2014), 2014, 12
81.
V. M. Buchstaber, “Hirzebruch genera and functional equations”, Tezisy Mezhdunarodnoi konferentsii, posvyaschennoi 85-letiyu akademika Yu. G. Reshetnyaka (Novosibirsk, 24–27 sentyabrya 2014 g.), Institut matematiki im. S. L. Soboleva SO RAN, 2014, 90–91
82.
V. M. Buchstaber, “Dynamical systems on a torus associated to Josephson junction”, Prikladnoi i geometricheskii analiz, Mezhdunarodnaya konferentsiya: tezisy dokladov (Samarkand, 22–25 sentyabrya 2014 g.), Novosibirskii gosudarstvennyi tekhnicheskii universitet, Novosibirsk, 2014, 12
83.
V. M. Buchstaber, Jelena Grbić, “Hopf algebras and homologyof loop suspension spaces”, Topology, Geometry, Integrable Systems, and Mathematical Physic, Novikov's seminar: 2012–2014, Amer. Math. Soc. Transl., ser. 2, 234, Amer. Math. Soc., Providence, RI, 2014, 75–92; 19 Nov 2010, arXiv: 1011.2549 (v2)
84.
N. N. Andreev, V. M. Buchstaber, A. I. Garber, V. V. Kozlov, S. P. Konovalov, A. A. Mal'tsev, Yu. V. Nesterenko, S. P. Novikov, A. N. Parshin, I. Kh. Sabitov, A. L. Semenov, A. G. Sergeev, O. K. Sheinman, M. I. Shtogrin, E. V. Shchepin, “Nikolai Petrovich Dolbilin (on his 70th birthday)”, Russian Math. Surveys, 69:1 (2014), 181–182
85.
V. M. Buchstaber, M. I. Gordin, I. A. Ibragimov, V. A. Kaimanovich, A. A. Kirillov, A. A. Lodkin, S. P. Novikov, A. Yu. Okounkov, G. I. Olshanski, V. F. Petrov, Ya. G. Sinai, L. D. Faddeev, S. V. Fomin, N. V. Tsilevich, Yu. V. Yakubovich, “Anatolii Moiseevich Vershik (on his 80th birthday)”, Russian Math. Surveys, 69:1 (2014), 165–179
86.
A. I. Aptekarev, A. L. Afendikov, V. M. Buchstaber, S. K. Godunov, A. B. Zhizhchenko, V. V. Kozlov, A. I. Maslov, V. P. Platonov, V. F. Tishkin, L. D. Faddeev, “Boris Nikolaevich Chetverushkin (on his 70th birthday)”, Russian Math. Surveys, 69:2 (2014), 387–392
87.
I. Ya. Aref'eva, V. M. Buchstaber, E. P. Velikhov, A. B. Zhizhchenko, V. E. Zakharov, I. A. Ibragimov, S. V. Kislyakov, V. V. Kozlov, P. P. Kulish, L. N. Lipatov, V. P. Maslov, V. A. Matveev, S. P. Novikov, Yu. S. Osipov, A. M. Polyakov, V. A. Rubakov, M. A. Semenov-Tian-Shansky, Yu. A. Simonov, Ya. G. Sinai, A. A. Slavnov, I. A. Sokolov, L. A. Takhtadzhyan, V. E. Fortov, S. L. Shatashvili, “Ludvig Dmitrievich Faddeev (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1133–1142
2013
88.
V. M. Buchstaber, S. I. Tertychnyi, “Explicit solution family for the equation of the resistively shunted Josephson junction model”, Theoret. and Math. Phys., 176:2 (2013), 965–986 (cited: 12) (cited: 4) (cited: 4) (cited: 10)
89.
V. M. Bukhshtaber, S. Terzić, “Toric genera of homogeneous spaces and their fibrations”, Int. Math. Res. Not. IMRN, 2013, no. 6, 1324–1403 , arXiv: 1102.4165 (cited: 1) (cited: 1)
90.
V. M. Bukhshtaber, “Nekommutativnye simmetricheskie funktsii i kombinatorika vypuklykh mnogogrannikov”, I. M. Gelfand i sovremennaya matematika (Moskva, 17–19 dekabrya 2013 g.), 2013, 8–9http://gelfand100.mech.math.msu.su/
91.
V. M. Bukhshtaber, V. A. Bykovskii (red.), Deistviya torov: topologiya, geometriya, teoriya chisel, Khabarovsk, 2–7 sentyabrya 2013 g., Tezisy dokladov Mezhdunarodnoi otkrytoi rossiisko-kitaiskoi konferentsii, Izd-vo Tikhookean. gos. un-ta, Khabarovsk, 2013 , 127 pp.
92.
A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971
93.
V. M. Bukhshtaber, “Kompleksnye kobordizmy i formalnye gruppy”, Prilozhenie k kn.: Dzh. F. Adamsa, Stabilnye gomotopii i obobschennye gomologii, MTsNMO, Moskva, 2013, 378–432
94.
V. M. Bukhshtaber, N. Yu. Erokhovets, T. E. Panov, “Algebra i kombinatorika vypuklykh mnogogrannikov”, Prilozhenie k kn.: G. Tsiglera, Lektsii o mnogogrannikakh, MTsNMO, Moskva, 2013, 426–521
2012
95.
V. M. Buchstaber, Jelena Grbic, Hopf algebras and homotopy invariants, 2012 , arXiv: 1011.2549
96.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “A system on a torus modelling the dynamics of a Josephson junction”, Russian Math. Surveys, 67:1 (2012), 178–180 (cited: 12) (cited: 4) (cited: 4) (cited: 8)
97.
V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950 (cited: 9) (cited: 4) (cited: 4) (cited: 7)
98.
E. Yu. Bunkova, V. M. Buchstaber, “Polynomial Dynamical Systems and Ordinary Differential Equations Associated with the Heat Equation”, Funct. Anal. Appl., 46:3 (2012), 173–190 (cited: 2) (cited: 1) (cited: 1) (cited: 3)
99.
V. M. Buchstaber, E. Yu. Bunkova, Algebraically integrable quadratic dynamical systems, 2012 , 10 pp., arXiv: 1212.6675
100.
V. M. Buchstaber, E. Yu. Bunkova, Ordinary differential equations associated with the heat equation, 2012 , 20 pp., arXiv: 1204.3784
101.
V. M. Buchstaber, V. D. Volodin, “Combinatorial 2-truncated cubes and applications”, Associahedra, Tamari Lattices, and Related Structures, Tamari Memorial Festschrift, Progress in Mathematics, 299, Birkhäuser, Basel, 2012, 161–186 (cited: 10) (cited: 8)
102.
V. M. Buchstaber, “Symmetric quadratic dynamical systems”, International Conference “Analysys and singularities” dedicated to the 75th anniversary of Vladimir Igorevich Arnold, Abstracts (Moscow, December 17–21, 2012), 2012, 124http://arnold75.mi.ras.ru/Abstracts.pdf
103.
V. M. Buchstaber, V. Z. Enolski, D. V. Leykin, Multi-Dimensional Sigma-Functions, 2012 , 267 pp., arXiv: 1208.0990
2011
104.
V. M. Bukhshtaber, V. D. Volodin, “Tochnye verkhnie i nizhnie granitsy dlya nestoedrov”, Izv. RAN. Ser. matem., 75:6 (2011), 17–46 , arXiv: 1005.1631v2 (cited: 10) (cited: 9) (cited: 4)
105.
V. M. Bukhshtaber, N. Yu. Erokhovets, “Mnogogranniki, chisla Fibonachchi, algebry Khopfa i kvazisimmetricheskie funktsii”, UMN, 66:2(398) (2011), 67–162 (cited: 5) (cited: 4) (cited: 4)
106.
V. M. Bukhshtaber, E. Yu. Bunkova, “Formalnye gruppy Krichevera”, Funkts. analiz i ego pril., 45:2 (2011), 23–44 (cited: 18) (cited: 18) (cited: 11)
107.
A. A. Aizenberg, V. M. Bukhshtaber, “Nerv-kompleksy i moment–ugol-prostranstva vypuklykh mnogogrannikov”, Klassicheskaya i sovremennaya matematika v pole deyatelnosti Borisa Nikolaevicha Delone, Sbornik statei. K 120-letiyu so dnya rozhdeniya chlena-korrespondenta AN SSSR Borisa Nikolaevicha Delone, Tr. MIAN, 275, MAIK, M., 2011, 22–54 (cited: 7) (cited: 6) (cited: 3)
108.
V. M. Bukhshtaber, V. A. Bykovskii (red.), Mezhdunarodnaya konferentsiya Toricheskaya topologiya i avtomorfnye funktsii, Tezisy dokladov, Izdatelstvo TOGU, Khabarovsk, 2011 , 198 pp.
109.
A. A. Ayzenberg, V. M. Buchstaber, “Moment-angle spaces of nonsimple polytopes”, Mezhdunarodnaya konferentsiya Toricheskaya topologiya i avtomorfnye funktsii, Tezisy dokladov (Khabarovsk, 5–10 sentyabrya 2011), Izdatelstvo TOGU, Khabarovsk, 2011, 7–8
110.
D. V. Anosov, M. Ya. Antonovskii, V. M. Bukhshtaber, V. Z. Grines, A. Yu. Zhirov, E. V. Zhuzhoma, N. E. Klinshpont, A. A. Maltsev, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, L. P. Shilnikov, “Romen Vasilevich Plykin (nekrolog)”, UMN, 66:3(399) (2011), 199–202
111.
L. D. Beklemishev, V. M. Bukhshtaber, I. G. Lysënok, A. A. Maltsev, S. P. Novikov, A. A. Razborov, A. L. Semënov, “Sergei Ivanovich Adyan (k vosmidesyatiletiyu so dnya rozhdeniya)”, UMN, 66:1(397) (2011), 199–200
2010
112.
V. M. Buchstaber, N. Yu. Erokhovets, Ring of Polytopes, Quasi-symmetric functions and Fibonacci numbers, 2010 , arXiv: 1002.0810v1
113.
V. M. Buchstaber, E. Yu. Bunkova, Elliptic formal group laws, integral Hirzebruch genera and Krichever genera, 2010 , 39 pp., arXiv: 1010.0944
114.
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Effekt kvantovaniya chisla vrascheniya”, TMF, 162:2 (2010), 254–265 (cited: 15) (cited: 17) (cited: 8)
115.
V. M. Bukhshtaber, N. Yu. Erokhovets, “Algebra operatorov na koltse mnogogrannikov i kvazisimmetricheskie funktsii”, UMN, 65:2(392) (2010), 197–198 (cited: 1) (cited: 1) (cited: 1)
116.
V. M. Buchstaber, E. Yu. Bunkova, “Addition theorems, formal group laws and integrable systems”, XXIX Workshop on Geometric Methods in Physics, AIP Conference Proceedings, 1307, 2010, 33–43 (cited: 1) (cited: 1)
117.
A. A. Ayzenberg, V. M. Buchstaber, Moment-angle complexes and polyhedral products for convex polytopes, 2010 , arXiv: 1010.1922v3
118.
V. M. Buchstaber, N. Yu. Erokhovets, Polytopes, Hopf algebras and Quasi-symmetric functions, 2010 , arXiv: 1011.1536v1
119.
V. M. Bukhshtaber, V. Dragovic, Two-valued groups, Kummer varieties and integrable billiards, 2010 , arXiv: 1011.2716v1
120.
V. M. Bukhshtaber, “Obschii rod Krichevera”, UMN, 65:5(395) (2010), 187–188 (cited: 4) (cited: 3) (cited: 3)
121.
V. Buchstaber, T. Panov, N. Ray, “Toric genera”, Int. Math. Res. Notices IMRN, 2010, no. 16, 3207–3262 , arXiv: 0908.3298v2 (cited: 15) (cited: 8) (cited: 16)
122.
V. Buchstaber, P. Kielanowski, A. Odzijewicz, M. Schlichenmaier, T. Voronov (Eds.), XXIX Workshop on Geometric Methods in Physics, AIP Conf. Proc., 1307, 2010 , 230 pp.
123.
V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010), 833–834
124.
S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832
125.
D. Anosov, V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Khovanskii, S. Lando, S. Novikov, A. Sossinsky, M. Tsfasman, V. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 10:3 (2010), 481–483
126.
M. S. Agranovich, V. M. Bukhshtaber, R. S. Ismagilov, B. S. Kashin, B. S. Mityagin, S. P. Novikov, V. A. Sadovnichii, A. G. Sergeev, Ya. G. Sinai, A. A. Shkalikov, “Anatolii Gordeevich Kostyuchenko (nekrolog)”, UMN, 65:4(394) (2010), 179–190
2009
127.
V. M. Buchstaber, “Heat equations and Sigma functions”, 28th Workshop on Geometric Methods in Physics, Conference Proceedings (June 28 – Jule 04, 2009, Bialowieza, Poland), AIP Conference Proceedings, 1191, eds. P. Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier, Th. Voronov, 2009, 46–58
128.
V. M. Bukhshtaber, T. E. Panov, “Toricheskaya topologiya”, Dobrushinskaya mezhdunarodnaya konferentsiya, Sbornik trudov (Moskva, 15–20 iyulya 2009 g.), In-t problem peredachi informatsii im. A. A. Kharkevicha, M., 2009, 27–36http://www.iitp.ru/upload/content/347/Dobr_Conf_2009_Proceedings.pdf
129.
V. M. Buchstaber, “Ring of combinatorial polytopes and applications”, Mathematisches Forschungsinstitut Oberwolfach, Report No. 01/2009, Toric Geometry, 4–10 January, 2009, 14–16
130.
V. M. Bukhshtaber, T. E. Panov, “Toricheskaya topologiya”, Sovremennye problemy matematiki i mekhaniki, t. III «Matematika», vypusk 1, Posvyaschaetsya 70-letiyu so dnya rozhdeniya V. A. Sadovnichego, Izd-vo Mosk. un-ta, M., 2009, 109–120
131.
O. V. Karpov, V. M. Buchstaber, M. A. Tertychnaya, S. I. Tertychnyi, S. V. Sherstobitov, “A quantum digital ac-voltage synthesizer based on pulse-width modulation of the Josephson junction bias current”, J. Communications Technology and Electronics, 54:2 (2009), 234–240
132.
E. Yu. Bunkova, V. M. Bukhshtaber, “Uravneniya teploprovodnosti i semeistva dvumernykh sigma-funktsii”, Geometriya, topologiya i matematicheskaya fizika. II, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 266, MAIK, M., 2009, 5–32 (cited: 3) (cited: 2) (cited: 2)
133.
V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Kirillov, I. Krichever, S. Natanzon, S. Novikov, A. Sergeev, A. Sossinsky, M. Tsfasman, “Oleg Sheinman”, Mosc. Math. J., 9:3 (2009), 723–724
134.
V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, V. Kozlov, S. Natanzon, O. Sheinman, A. Sossinsky, D. Treschev, M. Tsfasman, “Armen Sergeev”, Mosc. Math. J., 9:2 (2009), 439–440
135.
Geometriya, topologiya i matematicheskaya fizika. II, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 266, ed. V. M. Bukhshtaber, E. F. Mischenko, MAIK «Nauka/Interperiodika», M., 2009 , 272 pp.
2008
136.
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Matematicheskie modeli dinamiki silnoshuntirovannogo perekhoda Dzhozefsona”, UMN, 63:3(381) (2008), 155–156 (cited: 4) (cited: 3) (cited: 3)
137.
V. M. Bukhshtaber, “$f$-polinomy prostykh mnogogrannikov i dvuparametricheskii rod Todda”, UMN, 63:3(381) (2008), 153–154 (cited: 1) (cited: 1) (cited: 2)
138.
V. M. Bukhshtaber, D. V. Leikin, “Reshenie zadachi differentsirovaniya abelevykh funktsii po parametram dlya semeistv $(n,s)$-krivykh”, Funkts. analiz i ego pril., 42:4 (2008), 24–36 (cited: 17) (cited: 16) (cited: 1)
139.
V. M. Buchstaber, “Lectures on toric topology”, Toric Topology Workshop (KAIST 2008), Trends in Mathematics, 10, no. 1, Information Center for Mathematical Sciences, 2008, 1–64
140.
O. V. Karpov, V. M. Buchstaber, S. I. Tertychniy, J. Niemeyer, O. Kieler, “Modeling of $rf$-biased overdamped Josephson junctions”, J. Appl. Phys., 104 (2008), 093910 , 5 pp. (cited: 3) (cited: 2)
141.
V. M. Buchstaber, O. V. Karpov, S. V. Sherstobitov, S. I. Tertychniy, M. A. Tertychnaya, J. Niemeyer, “Quantum digital ac waveform synthesizer based on pulse-width modulation method.”, J. Appl. Phys., 104 (2008), 093911 , 4 pp. (cited: 1)
142.
V. M. Buchstaber, S. Terzić, “Equivariant complex structures on homogeneous spaces and their cobordism classes”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 27–57 , arXiv: math.AT/0708.2054v1
143.
V. M. Buchstaber, N. Ray, “An invitation to toric topology: vertex four of a remarkable tetrahedron”, Toric topology, Contemp. Math., 460, Amer. Math. Soc., Providence, RI, 2008, 1–27MIMS, 2008.31 (cited: 8)
144.
V. M. Buchstaber, E. G. Rees, “Frobenius $n$-homomorphisms, transfers and branched coverings”, Math. Proc. Cambridge Philos. Soc., 144:1 (2008), 1–12 , arXiv: math/0608120 (cited: 4) (cited: 4) (cited: 6)
145.
V. M. Bukhshtaber, “Koltso prostykh mnogogrannikov i differentsialnye uravneniya”, Geometriya, topologiya i matematicheskaya fizika. I, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 263, MAIK, M., 2008, 18–43 (cited: 16) (cited: 16) (cited: 9)
146.
V. M. Bukhshtaber (red.-sost.), Sergei Petrovich Novikov. K semidesyatiletiyu so dnya rozhdeniya. Intervyu, stati, vystupleniya, Izdatelstvo MTsNMO, Moskva, 2008 , 184 pp.
147.
V. M. Buchstaber, I. M. Krichever (Eds.), Geometry, topology, and mathematical physics, S. P. Novikov's Seminar: 2006–2007, Amer. Math. Soc. Transl. Ser. 2, 224, American Mathematical Society, Providence, RI, 2008 , x+284 pp.
148.
V. A. Aleksandrov, Yu. A. Aminov, V. M. Bukhshtaber, V. A. Vasilev, N. P. Dolbilin, S. P. Novikov, Yu. G. Reshetnyak, V. A. Sadovnichii, V. T. Fomenko, “Idzhad Khakovich Sabitov (k 70-letiyu so dnya rozhdeniya)”, UMN, 63:6(384) (2008), 183–186
149.
N. M. Bliznyakov, V. M. Bukhshtaber, Yu. E. Gliklikh, V. G. Zvyagin, A. S. Mischenko, V. V. Obukhovskii, Yu. I. Sapronov, A. T. Fomenko, A. V. Chernavskii, “Yurii Grigorevich Borisovich (nekrolog)”, UMN, 63:4(382) (2008), 173–174
150.
Geometriya, topologiya i matematicheskaya fizika. I, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 263, ed. V. M. Bukhshtaber, E. F. Mischenko, MAIK «Nauka/Interperiodika», M., 2008 , 272 pp.
2007
151.
V. M. Bukhshtaber, N. Rei, “Universalnyi ekvivariantnyi rod i formula Krichevera”, UMN, 62:1(373) (2007), 195–196 (cited: 9) (cited: 8) (cited: 2)
152.
V. M. Buchstaber, T. E. Panov, N. Ray, “Spaces of polytopes and cobordism of quasitoric manifolds”, Mosc. Math. J., 7:2 (2007), 219–242 , arXiv: math/0609346 (cited: 33) (cited: 32)
153.
V. M. Bukhshtaber, D. V. Leikin, “Differentsirovanie abelevykh funktsii po parametram”, UMN, 62:4(376) (2007), 153–154 (cited: 3) (cited: 3) (cited: 2)
154.
V. M. Bukhshtaber, E. V. Koritskaya, “Kvazilineinoe uravnenie Byurgersa–Khopfa i mnogogranniki Stashefa”, Funkts. analiz i ego pril., 41:3 (2007), 34–47 (cited: 4) (cited: 5)
155.
V. Buchstaber, A. Lazarev, “Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg–Mac Lane spaces”, Algebr. Geom. Topol., 7 (2007), 529–564 , arXiv: math.AT/0507036v1 (cited: 12) (cited: 6) (cited: 9)
156.
V. M. Buchstaber, “Abelian functions and singularity theory”, International Conference “Analysis and Singularities” dedicated to the 70th anniversary of V. I. Arnold, Book of abstracts (Moscow, August 20–24), Steklov Math. Inst., 2007, 117–118
157.
V. M. Buchstaber, “The Leonhard Euler Tercentenary. The problem of support for young mathematicians”, Newsletter of the EMS, 2007, no. 65, 3–4
2006
158.
V. M. Bukhshtaber, D. V. Leikin, “Funktsionalnye uravneniya, opredelyayuschie umnozhenie v nepreryvnom bazise Krichevera–Novikova”, UMN, 61:1(367) (2006), 171–172 (cited: 3) (cited: 2) (cited: 3)
159.
V. M. Bukhshtaber, I. M. Krichever, “Integriruemye uravneniya, teoremy slozheniya i problema Rimana–Shottki”, UMN, 61:1(367) (2006), 25–84 (cited: 16) (cited: 11) (cited: 1)
160.
V. M. Buchstaber, “$n$-valued groups: theory and applications”, Mosc. Math. J., 6:1 (2006), 57–84 (cited: 19) (cited: 17)
161.
V. M. Buchstaber, “Euler characteristic, Dehn-Sommerville characteristics, and their applications”, Topology in molecular biology, Springer Series in Solid-Sciences, 150, 2006, 163–176
162.
V. M. Bukhshtaber, A. A. Gaifullin, “Predstavleniya $m$-znachnykh grupp na triangulyatsiyakh mnogoobrazii”, UMN, 61:3(369) (2006), 171–172 (cited: 3) (cited: 2) (cited: 2)
163.
V. M. Bukhshtaber, “Algebraicheskie mnogoobraziya polisimmetricheskikh polinomov i koltsa differentsialnykh operatorov”, Globus: Obschematematicheskii seminar NMU, v. 3, MTsNMO, M., 2006, 127–141http://www.mccme.ru/free-books/globus/globus3.pdf
164.
V. M. Buchstaber, O. V. Karpov, S. V. Sherstobitov, S. I. Tertychniy, J. Niemeyer, O. Kieler, “Josephson junction parameters for alternating current wave form synthesis”, J. Appl. Phys., 100 (2006), 093907 , 6 pp. (cited: 3) (cited: 3)
165.
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Osobennosti dinamiki Dzhozefsonovskogo perekhoda, smeschennogo sinusoidalnym SVCh tokom”, Radiotekhnika i elektronika, 51:6 (2006), 757–762 (cited: 3)
166.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “Features of the dynamics of a Josephson junction biased by a sinusoidal microwave current”, Journal of Communications Technology and Electronics, 51:6 (2006), 713–718 (cited: 5) (cited: 2) (cited: 3)
167.
V. M. Buchstaber, “Analogous polytopes, toric manifolds and complex cobordisms”, International conference on Toric Topology (Osaka, 29 May – 03 June), 2006
168.
V. I. Arnol'd, V. M. Buchstaber, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, S. P. Novikov, A. B. Sossinski, M. A. Tsfasman, “Victor A. Vassiliev”, Mosc. Math. J., 6:1 (2006), 1–3
2005
169.
V. M. Bukhshtaber, D. V. Leikin, “Trilineinye funktsionalnye uravneniya”, UMN, 60:2(362) (2005), 151–152 (cited: 13) (cited: 5) (cited: 2)
170.
V. M. Buchstaber, A. Yu. Lazarev, “The Gelfand transform in commutative algebra”, Mosc. Math. J., 5:2 (2005), 311–327 (cited: 2) (cited: 2)
171.
V. M. Buchstaber, D. V. Leykin, “Differential and differential-functional equations for sigma-functions”, Fourth International Conference on Differential and Functional Differential Equations, Book of abstracts (Moscow, August 14–21), 2005
172.
V. M. Bukhshtaber, “Simmetricheskie polinomy mnogikh vektornykh argumentov. Klassicheskie zadachi i sovremennye prilozheniya.”, Globus: Obschematematicheskii seminar NMU, 2, MTsNMO, M., 2005, 126–145
173.
V. Buchstaber, D. Leykin, “Hyperelliptic addition law”, J. Nonlinear Math. Phys., 12, suppl. 1 (2005), 106–123 (cited: 4) (cited: 3) (cited: 4)
174.
V. M. Bukhshtaber, D. V. Leikin, “Zakony slozheniya na yakobianakh ploskikh algebraicheskikh krivykh”, Nelineinaya dinamika, Sbornik statei, Tr. MIAN, 251, Nauka, M., 2005, 54–126 (cited: 38) (cited: 28)
175.
V. M. Buchstaber, “Jacobi transformations and its applications”, International conference on Selected Problems of Modern Mathematics, dedicated to the 200th anniversary of K. G. Jacobi (Kaliningrad, April 4–9), 2005
176.
Carmona-Moreno C., Belward A., Caperan Ph., Hartley A., Malingreau J.P., Antonovskiy M., Buchshtaber V., Pivovarov V., “Spatial-temporal correlation analyses of global burned surface time series from remote sensing data (1982–1999)”, Proceedings of the 31st International Symposium on Remote Sensing of Environment, Global Monitoring for Sustainability and Security, 2005, 97457 , 5 pp. (cited: 1)
177.
Carmona-Moreno C., Belward A., Malingreau J.P., Hartley A., Garcia-Alegre M., Antonovskiy M., Buchshtaber V., Pivovarov V., “Characterizing interannual variations in global fire calendar using data from Earth observing satellites”, Global Change Biology, 11:9 (2005), 1537–1555 (cited: 100) (cited: 106)
178.
V. M. Bukhshtaber, A. B. Zhizhchenko, B. N. Chetverushkin, “O rabote Mezhdunarodnoi konferentsii po izbrannym voprosam sovremennoi matematiki”, UMN, 60:3(363) (2005), 183–184
179.
Nelineinaya dinamika, Sbornik statei, Tr. MIAN, 251, ed. V. M. Bukhshtaber, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2005 , 319 pp.
2004
180.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Dinamika zakonomernostei polya kontsentratsii atmosfernogo SO$_2$ na osnove dannykh monitoringa v techenie poslednikh 45 let”, Meteorologiya i gidrologiya, 2004, no. 4, 67–76
181.
V. M. Buchstaber, I. M. Krichever (eds.), Geometry, Topology, and Mathematical Physics, S. P. Novikov's seminar: 2002–2003, Amer. Math. Soc. Transl. Ser. 2, 212, Advances in the Math. Sciences, 55, Amer. Math. Soc., Providence, RI, 2004 , 324 pp.
182.
V. M. Bukhshtaber, E. G. Ris, “Koltsa nepreryvnykh funktsii, simmetricheskie proizvedeniya i algebry Frobeniusa”, UMN, 59:1(355) (2004), 125–144 (cited: 15) (cited: 10)
183.
V. M. Bukhshtaber, A. Yu. Lazarev, “Diskretnoe preobrazovanie Gelfanda i dvoistvennoe k nemu”, UMN, 59:1(355) (2004), 183–184 (cited: 1) (cited: 1)
184.
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “O svoistvakh differentsialnogo uravneniya, opisyvayuschego dinamiku silnoshuntirovannogo perekhoda Dzhozefsona”, UMN, 59:2(356) (2004), 187–188 (cited: 19) (cited: 16)
185.
I. V. Baskakov, V. M. Bukhshtaber, T. E. Panov, “Algebry kletochnykh kotsepei i deistviya torov”, UMN, 59:3(357) (2004), 159–160 (cited: 26) (cited: 22)
186.
V. M. Bukhshtaber, D. V. Leikin, “Uravneniya teploprovodnosti v negolonomnom repere”, Funkts. analiz i ego pril., 38:2 (2004), 12–27 (cited: 12) (cited: 8)
187.
V. M. Bukhshtaber, T. E. Panov, “Kombinatorika simplitsialno kletochnykh kompleksov i toricheskie deistviya”, Geometricheskaya topologiya i teoriya mnozhestv, Sbornik statei. K 100-letiyu so dnya rozhdeniya professora Lyudmily Vsevolodovny Keldysh, Tr. MIAN, 247, Nauka, M., 2004, 41–58 (cited: 16)
188.
V. M. Bukhshtaber, “Mnogoobraziya polisimmetricheskikh polinomov. Klassicheskie zadachi, sovremennye prilozheniya”, Matematika, Mekhanika, Informatika, Trudy konferentsii, posvyaschennoi 10-letiyu RFFI, Nauka, M., 2004, 129–145
2007
189.
V. M. Buchstaber, “Kolmogorov and Topology.”, Kolmogorov's Heritage in Mathematics, Chapter 7, ed. E. Charpenter, A. Lesne, N. Nikolski, Springer-Verlag, Berlin–Heidelberg, 2007, 139–150
2004
190.
V. M. Buchstaber, T. E. Panov, Torus actions in topology and combinatorics, Mosk. Tsentr Nepr. Mat. Obraz., Moscow, 2004 , 272 pp.
191.
V. M. Buchstaber, S. Yu. Shorina, “The $w$-function of the KdV hierarchy”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 212, Amer. Math. Soc., Providence, RI, 2004, 41–66
192.
V. M. Buchstaber, “Interview with Sergey P. Novikov”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 212, Amer. Math. Soc., Providence, RI, 2004, 25–40; V. M. Bukhshtaber, “Intervyu s S. P. Novikovym”, Sergei Petrovich Novikov. K semidesyatiletiyu so dnya rozhdeniya. Intervyu. Stati. Vystupleniya, MTsNMO, M., 2008, 18–39
2003
193.
V. M. Bukhshtaber, S. Yu. Shorina, “Kommutiruyuschie differentsialnye mnogomernye operatory tretego poryadka, zadayuschie KdF-ierarkhiyu”, UMN, 58:3(351) (2003), 187–188 (cited: 3) (cited: 2)
194.
V. M. Bukhshtaber, S. Yu. Shorina, “$w$-funktsiya resheniya $g$-go statsionarnogo uravneniya KdF”, UMN, 58:4(352) (2003), 145–146 (cited: 1) (cited: 1)
195.
V. M. Bukhshtaber, D. V. Leikin, M. V. Pavlov, “Egorovskie gidrodinamicheskie tsepochki, uravnenie Shazi i gruppa $SL(2,\mathbb{C})$”, Funkts. analiz i ego pril., 37:4 (2003), 13–26 (cited: 7) (cited: 5)
196.
V. M. Buchstaber, M. I. Monastyrsky, “Generalized Kramers–Wannier duality for spin systems with non-commutative symmetry”, J. Phys. A, 36:28 (2003), 7679–7692 (cited: 5) (cited: 6) (cited: 6)
197.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “The dynamics of transients in an overdamped Josephson junction biased by trains of short current pulses with controllable parameters”, Journal of Experimental and Theoretical Physics, 97:3 (2003), 624–631 (cited: 10) (cited: 7) (cited: 7) (cited: 7)
198.
V. M. Buchstaber, “Kolmogorov, cohomology and cobordisms”, Kolmogorov and contemporary mathematics, abstracts, Kolmogorov i sovremennaya matematika, tezisy dokladov (Moscow, June 16–21, 2003), Izdatelstvo MGU, 2003, 769
199.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Dinamika zakonomernostei polya kontsentratsii atmosfernogo $SO_2$ na osnove dannykh monitoringa v techenie poslednikh 45 let”, Vsemirnaya konferentsiya po izmeneniyu klimata, Tezisy dokladov (Moskva, 20 sentyabrya – 3 oktyabrya), 2003, 33–34
200.
V. M. Bukhshtaber, M. Ya. Antonovskii, Ts. Karmona-Moreno, Zh. P. Molingro V. A. Pivovarov, “Analiz dinamiki prirodnykh pozharov, na osnove vremennykh ryadov, postroennykh obrabotkoi globalnykh sputnikovykh dannykh”, Vsemirnaya konferentsiya po izmeneniyu klimata, Tezisy dokladov (Moskva, 20 sentyabrya–3 oktyabrya), 2003, 167
201.
V. M. Buchstaber, “Polynomial Lie algebras and versal deformations”, Meeting: Singularities (Obervwolfach, 21–27 September), 2003
202.
V. M. Buchstaber, Yu. S. Ilyashenko, I. M. Krichever, O. K. Sheinman, A. B. Sossinski, M. A. Tsfasman, “Sergey Petrovich Novikov”, Mosc. Math. J., 3:4 (2003), 1206–1208
203.
D. V. Anosov, V. I. Arnold, V. M. Bukhshtaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Maltsev, E. F. Mischenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii, “Andrei Andreevich Bolibrukh (nekrolog)”, UMN, 58:6(354) (2003), 139–142 (cited: 1)
2002
204.
V. M. Bukhshtaber, E. G. Ris, “Prilozheniya frobeniusovykh $n$-gomomorfizmov”, UMN, 57:1(343) (2002), 149–150 (cited: 1)
205.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Ispolzovanie dannykh sputnikovogo monitoringa aktivnosti bioty pri analize formirovaniya polya kontsentratsii SO$_2$ v atmosfere”, Meteorologiya i gidrologiya, 2002, no. 2, 6–24
206.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Otsenka ekstremalnykh znachenii prostranstvenno-vremennoi dinamiki polya kontsentratsii SO$_2$”, Meteorologiya i gidrologiya, 2002, no. 3, 5–12
207.
V. M. Bukhshtaber, D. V. Leikin, “Algebry Li, assotsiirovannye s $\sigma$-funktsiyami, i versalnye deformatsii”, UMN, 57:3(345) (2002), 145–146 (cited: 7) (cited: 1)
208.
V. M. Bukhshtaber, D. V. Leikin, “Polinomialnye algebry Li”, Funkts. analiz i ego pril., 36:4 (2002), 18–34 (cited: 23) (cited: 20)
209.
V. M. Buchstaber, E. G. Rees, “The Gelfand map and symmetric products”, Selecta Math. (N.S.), 8:4 (2002), 523–535 (cited: 12) (cited: 14)
2003
210.
V. M. Buchstaber, D. V. Leikin, “Graded Lie algebras defining hyperelliptic sigma-functions”, Dokl. Math., 66:1 (2003), 87–90 (cited: 1)
2002
211.
V. M. Buchstaber, J. C. Eilbeck, V. Z. Enolskii, D. V. Leykin, M. Salerno, “Multidimensional Schrödinger equations with abelian potentials”, J. Math. Phys., 43:6 (2002), 2858–2881 (cited: 4) (cited: 6) (cited: 4)
212.
V. M. Buchstaber, T. E. Panov, Torus actions and their applications in topology and combinatorics, Univ. Lecture Ser., 24, American Mathematical Society, Providence, RI, 2002 , viii+144 pp.
213.
V. M. Bukhshtaber, “Funktsionalno-algebraicheskaya konstruktsiya simmetricheskikh stepenei i teoriya simmetricheskikh polinomov vektornogo argumenta”, Ot pravleniya Moskovskogo matematicheskogo obschestva, UMN, 57:3 (2002), 175
214.
V. M. Buchstaber, “Algebraic varieties of solutions of two-dim Lame type equations”, Intern. conf. “Differential and functional differential equations”, Book of abstracts (Moscow, August 11–17), 2002, 19–20
215.
V. M. Bukhshtaber, A. V. Zarelua, A. A. Maltsev, E. F. Mischenko, E. A. Morozova, S. P. Novikov, V. I. Ponomarev, M. M. Postnikov, E. G. Sklyarenko, V. V. Fedorchuk, “Yurii Mikhailovich Smirnov (k vosmidesyatiletiyu so dnya rozhdeniya)”, UMN, 57:2(344) (2002), 203–207
2001
216.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychniy, “Electrodynamic properties of a Josephson junction biased with a sequence of $\delta$-function pulses”, J. Experiment. Theoret. Phys., 93:6 (2001), 1280–1287 (cited: 12) (cited: 6) (cited: 10)
217.
V. M. Bukhshtaber, B. I. Alshin, O. V. Karpov, V. N. Krutikov, “Mery napryazheniya na pretsizionnykh stabilitronakh. Metrologicheskie kharakteristiki i oblasti primeneniya”, Izmeritelnaya tekhnika, 2001, no. 6, 39–41
218.
V. M. Bukhshtaber, E. G. Ris, “Konstruktivnoe dokazatelstvo obobschennogo izomorfizma Gelfanda”, Funkts. analiz i ego pril., 35:4 (2001), 20–25 (cited: 2) (cited: 1)
219.
V. M. Bukhshtaber, D. V. Leikin, “Mnogoobrazie reshenii uravneniya $\displaystyle[\frac{\partial^2}{\partial u_1\partial u_2}-6\wp_{1,2}(u_1,u_2)+E]\psi=0$”, UMN, 56:6(342) (2001), 141–142 (cited: 2) (cited: 2)
220.
V. M. Buchstaber, N. Ray, “Tangential structures on toric manifolds, and connected sums of polytopes”, Internat. Math. Res. Notices, 2001, no. 4, 193–219 (cited: 25) (cited: 3)
221.
V. M. Buchstaber, “Integrable nonlineal differential equations and uniformization of universal spaces of Jacobians”, Intern. conf. “Differential equations and related topics”, Book of abstracts (Moscow, May 22–27), 2001, 78
222.
V. M. Buchstaber, “Symmetric powers as algebraic variety”, Conference “Fundamental mathematics today”, Dedicated to the 10th anniversary of the Independent University of Moscow, Programme and abstracts (Moscow, Dec. 26–29), 2001, 11
223.
S. A. Aivazyan, L. G. Afanaseva, V. M. Bukhshtaber, Yu. N. Blagoveschenskii, B. M. Gurevich, Yu. V. Prokhorov, Ya. G. Sinai, V. M. Tikhomirov, A. N. Shiryaev, “Lev Dmitrievich Meshalkin (nekrolog)”, UMN, 56:3(339) (2001), 146–150
2000
224.
V. M. Bukhshtaber, K. E. Feldman, “Indeks ekvivariantnogo vektornogo polya i teoremy slozheniya dlya kharakteristicheskikh klassov Pontryagina”, Izv. RAN. Ser. matem., 64:2 (2000), 3–28 (cited: 1) (cited: 1)
225.
V. M. Bukhshtaber, T. E. Panov, “Deistviya tora, ekvivariantnye moment-ugol-kompleksy i konfiguratsii koordinatnykh podprostranstv”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye i algoritmicheskie metody. V, Zap. nauchn. sem. POMI, 266, POMI, SPb., 2000, 29–50 (cited: 3)
226.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Opredelenie i analiz nazemnogo bioticheskogo signala v ryadakh dannykh o kontsentratsii $CO_2$ v atmosfere”, Meteorologiya i gidrologiya, 2000, no. 3, 36–47
227.
V. M. Bukhshtaber, T. E. Panov, “Moment-ugol kompleksy i kombinatorika simplitsialnykh mnogoobrazii”, UMN, 55:3(333) (2000), 171–172 (cited: 2)
228.
B. I. Botvinnik, V. M. Bukhshtaber, S. P. Novikov, S. A. Yuzvinskii, “Algebraicheskie aspekty teorii umnozhenii v kompleksnykh kobordizmakh”, UMN, 55:4(334) (2000), 5–24 (cited: 7) (cited: 5)
229.
V. M. Bukhshtaber, T. E. Panov, “Deistviya torov, kombinatornaya topologiya i gomologicheskaya algebra”, UMN, 55:5(335) (2000), 3–106 (cited: 44) (cited: 30)
230.
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Uniformizatsiya mnogoobrazii Yakobi trigonalnykh krivykh i nelineinye differentsialnye uravneniya”, Funkts. analiz i ego pril., 34:3 (2000), 1–16 (cited: 39) (cited: 35)
231.
V. M. Buchstaber, T. E. Panov, “Torus actions determined by simple polytopes”, Geometry and topology (Aarhus, 1998), Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000, 33–46
1999
232.
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Ratsionalnye analogi abelevykh funktsii”, Funkts. analiz i ego pril., 33:2 (1999), 1–15 (cited: 57) (cited: 46)
233.
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “$\sigma$-funktsii $(n,s)$-krivykh”, UMN, 54:3(327) (1999), 155–156 (cited: 19) (cited: 11)
234.
V. M. Bukhshtaber, “Gruppy polinomialnykh preobrazovanii pryamoi, neformalnye simplekticheskie mnogoobraziya i algebra Landvebera–Novikova”, UMN, 54:4(328) (1999), 161–162 (cited: 12) (cited: 8)
235.
V. M. Bukhshtaber, Torus actions and combinatorics of polytopes, Tagungsbericht, 37/1999, Topology, 12.09.–18.09.1999, Mathematisches Forschungsinstitut Oberwolfach, 1999 , 5 pp.
236.
V. M. Buchstaber, N. Ray, “Operations and quantum doubles in complex oriented cohomology theory”, Homology Homotopy Appl., 1 (1999), 169–185
237.
V. M. Bukhshtaber, T. E. Panov, “Deistviya tora i kombinatorika mnogogrannikov”, Solitony, geometriya, topologiya — na perekrestkakh, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 225, Nauka, M., 1999, 96–131 (cited: 19)
238.
V. M. Bukhshtaber, “Mnogomernyi statisticheskii analiz v zadachakh ekologicheskogo i klimaticheskogo monitoringa”, Mnogomernyi statisticheskii analiz i veroyatnostnye modelirovaniya realnykh protsessov, Tez. dokl. mezhdunar. yubilein. sessii nauchn. seminara (Moskva), eds. S. A. Aivazyan, TsEMI RAN, 1999, 55–57
239.
V. M. Bukhshtaber, “Polinomy, udovletvoryayuschie teoreme Rimana ob obraschenii v nul, i ikh prilozheniya”, Ot pravleniya Moskovskogo matematicheskogo obschestva, UMN, 54:5 (1999), 190
240.
V. M. Buchstaber, “Functional equations in mathematical physics”, Intern. Conf. on differential and functional differential equations, Abstracts (Moscow), 1999, 24
241.
V. M. Bukhshtaber, A. A. Maltsev, “Ot redaktorov toma”, Solitony, geometriya, topologiya — na perekrestkakh, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 225, Nauka, M., 1999, 7–10
242.
Solitony, geometriya, topologiya — na perekrestkakh, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 225, ed. V. M. Bukhshtaber, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 1999 , 400 pp.
1998
243.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Analiz neopredelennostei v probleme otsenki vklada emissii razlichnykh parnikovykh gazov v globalnoe poteplenie”, Meteorologiya i gidrologiya, 1998, no. 8, 57–66
244.
V. M. Buchstaber, I. G. Ovodov, S. N. Shevchenko, “Statistical Approach to the Problem of Commercial Bank Stability”, Evaluation / HSE Economics Journal, 1:1 (1998)
245.
V. M. Bukhshtaber, “Otobrazheniya Yanga–Bakstera”, UMN, 53:6(324) (1998), 241–242 (cited: 12) (cited: 9)
246.
V. M. Bukhshtaber, N. Rai, “Toricheskie mnogoobraziya i kompleksnye kobordizmy”, UMN, 53:2(320) (1998), 139–140 (cited: 26) (cited: 17)
247.
V. M. Bukhshtaber, T. E. Panov, “Algebraicheskaya topologiya mnogoobrazii, opredelyaemykh prostymi mnogogrannikami”, UMN, 53:3(321) (1998), 195–196 (cited: 5) (cited: 2)
248.
V. M. Buchstaber, E. G. Rees, “Multivalued groups, $n$-Hopf algebras and $n$-ring homomorphisms”, Lie groups and Lie algebras, Math. Appl., 433, Kluwer Acad. Publ., Dordrecht, 1998, 85–107
249.
V. M. Buchstaber, N. Ray, “Flag manifolds and the Landweber-Novikov algebra”, Geom. Topol., 2 (1998), 79–101 (cited: 10) (cited: 10)
250.
D. V. Anosov, P. M. Akhmetev, A. A. Bolibrukh, V. M. Bukhshtaber, V. A. Kolosov, A. A. Maltsev, S. P. Novikov, V. A. Smirnov, A. V. Chernavskii, “Mikhail Mikhailovich Postnikov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 53:2(320) (1998), 183–184
251.
V. M. Bukhshtaber, S. P. Novikov, “Istoriya premii im. N. I. Lobachevskogo (k 100-letiyu pervogo prisuzhdeniya v 1897 g.)”, UMN, 53:1(319) (1998), 235–238
1997
252.
V. M. Bukhshtaber, E. G. Ris, “$k$-kharaktery Frobeniusa i $n$-koltsevye gomomorfizmy”, UMN, 52:2(314) (1997), 159–160 (cited: 6) (cited: 2)
253.
V. M. Buchstaber, E. G. Rees, Converse theorem, 1997
254.
V. M. Buchstaber, S. P. Novikov (eds.), Solitons, geometry, and topology: on the crossroad, Amer. Math. Soc. Transl. Ser. 2, 179, Advances in the Math. Sciences, 33, Amer. Math. Soc., Providence, RI, 1997 , 189 pp.
255.
V. M. Buchstaber, V. Z. Enolskii, D. V. Leikin, “Kleinian functions, hyperelliptic Jacobians and applications”, Reviews in Mathematics and Math. Physics, 10, part 2, ed. I. M. Krichever, S. P. Novikov, Gordon and Breach, London, 1997, 3–120
256.
V. M. Buchstaber, H. W. Braden, “Integrable systems with pairwise interactions and functional equations”, Reviews in Mathematics and Math. Physics, 10, part 2, ed. I. M. Krichever, S. P. Novikov, Gordon and Breach, London, 1997, 121–166
257.
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Rekursivnoe semeistvo differentsialnykh polinomov, porozhdennoe tozhdestvom Silvestra, i teoremy slozheniya dlya giperellipticheskikh funktsii Kleina”, Funkts. analiz i ego pril., 31:4 (1997), 19–33 (cited: 8) (cited: 6)
258.
V. M. Bukhshtaber, K. E. Feldman, “Formula slozheniya dlya pervogo polutselogo klassa Pontryagina v kompleksnykh kobordizmakh”, UMN, 52:6(318) (1997), 151–152 (cited: 1)
259.
V. M. Bukhshtaber, “Mnogomernye razvertki vremennykh ryadov. Teoreticheskie osnovy i algoritmy”, Obozrenie prikladnoi i promyshl. matematiki, Seriya «Veroyatnost i statistika», 4, no. 4, TVP, M., 1997
260.
V. M. Bukhshtaber, “Avtomaticheskaya klassifikatsiya dannykh po printsipu resheta Eratosfena”, Obozrenie prikladnoi i promyshl. matematiki, Seriya «Veroyatnost i statistika», 4, no. 4, TVP, M., 1997
261.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Modelirovanie posledstvii razlichnykh stsenariev antropogennoi emissii ugleroda”, Meteorologiya i gidrologiya, 1997, no. 8, 17–27
262.
V. M. Bukhshtaber, A. V. Nikolaev, “Problemy postroeniya tomograficheskikh izobrazhenii.”, Problemy geotomografii, Nauka, M., 1997, 325–329
263.
V. M. Buchstaber, E. G. Rees, “Multivalued groups, their representations and Hopf algebras”, Transform. Groups, 2, no. 4, Birkhäuser, Boston, 1997, 325–349 (cited: 13) (cited: 18)
264.
H. W. Braden, V. M. Buchstaber, “The general analytic solution of a functional equation of addition type”, SIAM J. Math. Anal., 28:4 (1997), 903–923 (cited: 21) (cited: 20) (cited: 22)
265.
V. M. Buchstaber, V. Z. Enolskiĭ, D. V. Leĭkin, “Hyperelliptic Kleinian functions and applications”, Solitons, geometry, and topology: on the crossroad, Amer. Math. Soc. Transl. Ser. 2, 179, Amer. Math. Soc., Providence, RI, 1997, 1–33
266.
V. M. Bukhshtaber, “Mnogoznachnye gruppy i $n$-algebry Khopfa”, Zasedaniya Sankt-Peterburgskogo matematicheskogo obschestva, UMN, 52:2 (1997), 206
267.
V. M. Bukhshtaber, “Funktsii Kleina, giperellipticheskie yakobiany i integriruemye sistemy”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 52:3 (1997), 184
1996
268.
V. M. Bukhshtaber, V. Z. Enolskii, “Yavnoe algebraicheskoe opisanie giperellipticheskikh yakobianov na osnove $\sigma$-funktsii Kleina”, Funkts. analiz i ego pril., 30:1 (1996), 57–60 (cited: 4) (cited: 2)
269.
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Matrichnaya realizatsiya giperellipticheskikh mnogoobrazii Kummera”, UMN, 51:2(308) (1996), 147–148 (cited: 2)
270.
V. M. Bukhshtaber, E. G. Ris, “Mnogoznachnye gruppy i $n$-algebry Khopfa”, UMN, 51:4(310) (1996), 149–150 (cited: 11) (cited: 4)
271.
V. M. Bukhshtaber, A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko, “Kombinatornye algebry i mnogoznachnye involyutivnye gruppy”, Funkts. analiz i ego pril., 30:3 (1996), 12–18 (cited: 9) (cited: 6)
272.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Modelirovanie i issledovanie stabilizatsii kontsentratsii atmosfernogo $CO_2$ pri razlichnykh stsenariyakh emissii $CO_2$ v atmosferu”, DAN, 351:4 (1996), 528–531
273.
V. M. Buchstaber, N. Ray, “Double cobordism, flag manifolds and quantum doubles”, Topology and applications, Intern. Top. Conf. dedicated to P. S. Alexandroffs 100-th Birthday, Phasis, Moscow, 1996, 127–129
274.
V. M. Buchstaber, A. P. Veselov, “On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera”, Math. Z., 223:4 (1996), 595–607 (cited: 11) (cited: 7) (cited: 9)
275.
V. M. Buchstaber, A. M. Perelomov, “On the functional equation related to the quantum three-body problem”, Contemporary mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence, RI, 1996, 15–34
276.
V. Buchstaber, I. Krichever, “Multidimensional vector addition theorems and the Riemann theta functions”, Internat. Math. Res. Notices, 1996, no. 10, 505–513
277.
V. M. Buchstaber, A. P. Veselov, “Integrable correspondences and algebraic representations of multivalued groups”, Internat. Math. Res. Notices, 1996, no. 8, 381–400 (cited: 23)
278.
V. Buchstaber, A. Kholodov, “Characteristic expansions and multiplicative addition theorems”, Acta Appl. Math., 43:2 (1996), 233–266
279.
O. V. Besov, V. M. Bukhshtaber, A. G. Vitushkin, A. A. Gonchar, S. V. Konyagin, L. D. Kudryavtsev, S. M. Nikolskii, S. P. Novikov, Yu. S. Osipov, A. Yu. Popov, V. A. Sadovnichii, A. F. Sidorov, Yu. N. Subbotin, S. A. Telyakovskii, P. L. Ulyanov, N. I. Chernykh, “Sergei Borisovich Stechkin (nekrolog)”, UMN, 51:6(312) (1996), 3–10 (cited: 2)
1995
280.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Analiz neopredelennosti prognozov globalnykh kontsentratsii atmosfernogo $CO_2$ dlya boks-diffuznykh modelei globalnogo uglerodnogo tsikla”, DAN, 343:2 (1995), 247–250 (cited: 1)
281.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Modelirovanie, globalnyi analiz i interpretatsiya v izuchenii uglerodnogo tsikla”, Meteorologiya i gidrologiya, 1995, no. 8, 5–13
282.
V. M. Bukhshtaber, V. Z. Enolskii, “Abelevy Blokhovskie resheniya dvumernogo uravneniya Shrëdingera”, UMN, 50:1(301) (1995), 191–192 (cited: 5) (cited: 1)
283.
V. M. Buchstaber, A. P. Veselov, Integrable correspondences and algebraic representation of multivalued groups, FIM, ETH, Zurich, 1995
284.
V. M. Buchstaber, “Semigroups of maps into groups, operator doubles, and complex cobordisms”, Topics in topology and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 170, Amer. Math. Soc., Providence, RI, 1995, 9–31
285.
V. M. Buchstaber, S. P. Novikov, “The S. P. Novikov seminar”, Topics in topology and math. physics, Amer. Math. Soc. Transl. Ser. 2, 170, 1995, 1–7; V. M. Bukhshtaber, S. P. Novikov, “Seminar S. P. Novikova”, Sergei Petrovich Novikov. K semidesyatiletiyu so dnya rozhdeniya. Intervyu. Stati. Vystupleniya, MTsNMO, Moskva, 2008, 97–107
1996
286.
V. M. Buchstaber, “Operator doubles and semigroups of mappings into groups.”, Russian Acad. Sci. Dokl. Math., 51 (1996), 260–262
1995
287.
V. M. Bukhshtaber, S. P. Novikov, “Boris Gershevich Moishezon (nekrolog)”, UMN, 50:3(303) (1995), 147–148
1994
288.
V. M. Buchstaber, M. Ya. Antonovsky, V. A. Pivovarov, “The role of the box ‘bottom layer of the ocean’ in the box-diffusion models of the global carbon cycle”, Trans. (Dokl.) Russ. Acad. Sci. Earth. Sci. Sect., 1994
289.
V. M. Buchstaber, M. Ya. Antonovsky, V. A. Pivovarov, “Analysis and comparison of box-diffusion models of the global carbon cycle based on the concept of airborne fraction.”, Trans. (Dokl.) Russ. Acad. Sci. Earth. Sci. Sect., 1994
290.
V. M. Bukhshtaber, A. P. Veselov, “Operatory Dankla, funktsionalnye uravneniya i preobrazovaniya ellipticheskikh rodov”, UMN, 49:2(296) (1994), 147–148 (cited: 3) (cited: 2)
291.
V. M. Buchstaber, G. Felder, A. P. Veselov, “Elliptic Dunkl operators, root systems, and functional equations”, Duke Math. J., 76:3 (1994), 885–911 (cited: 42) (cited: 41)
292.
V. M. Buchstaber, “Time series analysis and Grassmannians”, Applied problems of Radon transform, Amer. Math. Soc. Transl. Ser. 2, 162, Amer. Math. Soc., Providence, RI, 1994, 1–17
1993
293.
V. M. Buchstaber, A. M. Perelomov, On the functional equation related to the quantum three-body problem, 93-17, Max-Planck Institut für Mathematik, MPI, Bonn, 1993 www.mat.univie.ac.at/~esiprpr/esi143.pdf, arXiv: math-ph/0205032
294.
V. M. Bukhshtaber, M. Ya. Antonovskii, L. S. Veksler, “Primenenie mnogomernogo statisticheskogo analiza dlya obnaruzheniya strukturnykh izmenenii vo vremennykh ryadakh dannykh ekologicheskogo monitoringa.”, Problemy ekolog. monitor. i modelirovaniya ekosistem, 15, Gidrometeoizdat, S-Pb., 1993
295.
V. M. Bukhshtaber, I. M. Krichever, “Vektornye teoremy slozheniya i funktsii Beikera–Akhiezera”, TMF, 94:2 (1993), 200–212 (cited: 5) (cited: 3)
1992
296.
V. M. Bukhshtaber, M. Ya. Antonovskii, L. S. Veksler, “Obnaruzhenie izmeneniya svoistv vremennykh ryadov monitoringa metodami mnogomernogo statisticheskogo analiza”, Problemy izmereniya parametrov gidroakusticheskikh gidrofizicheskikh polei, VNIIFTRI, M., 1992
297.
V. M. Bukhshtaber, M. Ya. Antonovskii, L. S. Veksler, Zh. P. Malingro, Statisticheskii analiz dannykh po globalnomu indeksu vegetatsii, Problemy ekologich. monitoringa i modelirovaniya ekosistem, 14, Gidrometeoizdat, S-Pb., 1992
1991
298.
V. M. Buchstaber, M. Ya. Antonovsky, “An exploratory analysis of long term trends in atmospheric $CO_2$ concentration”, Tellus, 43B:2 (1991), 171–187
299.
V. M. Buchstaber, M. Ya. Antonovsky, L. S. Veksler, Application of multivariate statistical analysis for the detection of structural changes in the series of monitoring data, WP-91-31, IIASA, Laxenburg, 1991
300.
V. M. Bukhshtaber, V. M. Klyatskin, V. V. Mottl, E. V. Schepin, “Avtomatizirovannaya sistema analiza ploskikh tochechnykh izobrazhenii metodom skeletizatsii kak instrument resheniya zadach prikladnoi statistiki”, Programmnye produkty i sistemy, 3, Tver (1991), 52–62
1990
301.
V. M. Bukhshtaber, V. K. Maslov, A. M. Trokhan, A. V. Nikolaev, “Geotomografiya kak instrument monitoringa Zemli.”, Tomograficheskie metody v fiziko-tekhnicheskikh izmereniyakh, Sb. nauchnykh trudov VNIIFTRI, M., 1990, 7–55
302.
V. M. Bukhshtaber, A. N. Kholodov, “Formalnye gruppy, funktsionalnye uravneniya i obobschennye teorii kogomologii”, Matem. sb., 181:1 (1990), 75–94 (cited: 10) (cited: 13)
303.
V. M. Buchstaber, V. K. Maslov, “Mathematical models and algorithms of tomographic synthesis of wave fields and inhomogeneous media”, Math. Problems of Tomogr., Transl. Math. Monogr., 81, Amer. Math. Soc., Providence, RI, 1990, 225–267
304.
V. M. Bukhshtaber, “Funktsionalnye uravneniya, assotsiirovannye s teoremami slozheniya dlya ellipticheskikh funktsii, i dvuznachnye algebraicheskie gruppy”, UMN, 45:3(273) (1990), 185–186 (cited: 31) (cited: 18)
305.
V. M. Bukhshtaber, I. S. Enyukov, “Metody i algoritmy tselenapravlennogo proetsirovaniya v razvedochnom analize dannykh.”, Mnogomern. stat. analiz i veroyatnostnoe modelirovanie realnykh protsessov, Nauka, M., 1990, 16–30
306.
V. M. Bukhshtaber, V. G Markin, V. K. Maslov, “Obratnye zadachi prikladnoi statistiki i tomografiya.”, Mnogomern. stat. analiz i veroyatnostnoe modelirovanie realnykh protsessov, Nauka, M., 1990, 124–128
307.
V. M. Bukhshtaber, E. A. Zelenyuk, A. A. Zubenko, “Dialogovyi generator programm dlya interaktivnogo analiza dannykh DIAGEN”, Mnogomern. stat. analiz i veroyatnostnoe modelirovanie realnykh protsessov, Nauka, M., 1990, 243–247
1989
308.
V. M. Bukhshtaber, M. Ya. Antonovskii, A. A. Zubenko, Poiskovyi analiz trendov v ryadakh nablyudenii za kontsentratsiei $CO_2$ v atmosfere, Problemy ekologich. monitor. i ekosistem. modelirovaniya, XII, Gidromet., Leningrad, 1989
309.
V. M. Bukhshtaber, A. N. Kholodov, “Gruppy formalnykh diffeomorfizmov superpryamoi, proizvodyaschie funktsii dlya posledovatelnostei polinomov i funktsionalnye uravneniya”, Izv. AN SSSR. Ser. matem., 53:5 (1989), 944–970 (cited: 2)
310.
V. M. Bukhshtaber, A. N. Kholodov, “Struktury Boasa–Baka na posledovatelnostyakh polinomov”, Funkts. analiz i ego pril., 23:4 (1989), 11–23 (cited: 1) (cited: 1)
311.
V. M. Buchstaber, S. A. Aivazian, L. D. Meshalkin, I. S. Yenyukov, Applied statistics. Classification and reduction of dimensionality, Finansy i Statistika, Moscow, 1989 , 608 pp.
312.
V. M. Bukhshtaber, E. A. Zelenyuk, A. A. Zubenko, Konstruktsiya interaktivnykh sistem analiza dannykh, Finansy i statistika, M., 1989 , 115 pp.
313.
V. M. Buchstaber, “Applications of functional equations to homogeneous co-algebras.”, Soobshch. Akad. Nauk. Gruzin. SSR, 135:1 (1989), 53–56
1988
314.
V. M. Bukhshtaber, V. K. Maslov, “Teoremy o proektsiyakh i secheniyakh v emissionnoi i transmissionnoi tomografii volnovykh polei i neodnorodnykh sred”, Metody tomografii v fiz.-tekh. izmereniyakh, Trudy VNIIFTRI, M., 1988, 6–22
315.
V. M. Buchstaber, M. Ya. Antonovsky, E. A. Zelenyuk, A statistical model of background air pollution frequency distributions, WP-88-102, Intern. Inst. For Appl. Systems Anal., Laxenburg, Austria, 1988
316.
V. M. Buchstaber, M. Ya. Antonovsky, A. A. Zubenko, A statistical analysis of long-term trends in atmospheric $CO_2$ concentration at baseline stations, WP-88-122, Intern. Inst. For Appl. Systems Anal., Laxenburg, Austria, 1988
1987
317.
V. M. Bukhshtaber, V. K. Maslov, “Teoremy o proektsiyakh i secheniyakh v difraktsionnoi tomografii”, III Vses. simp. po vychislit. tomografii, Naukova Dumka, Kiev, 1987
318.
V. M. Buchstaber, M. Ya. Antonovskii, E. A. Zelenyuk, “The problem of detection and estimation of background levels of components of atmospheric pollution”, Trans. (Dokl.) Akad. Sci. USSR. Earth Sci. Sect., 1987
319.
V. M. Bukhshtaber, V. K. Maslov, “Metody resheniya trekhmernykh obratnykh zadach distantsionnogo zondirovaniya okeana”, Metody gidrofizich. issledov. Volny i vikhri, II Vses. shk., Gorkii, 1987, 305–320
1986
320.
V. M. Bukhshtaber, V. G Markin, V. K. Maslov, A. M. Trokhan, “Parallelnye algoritmy resheniya trekhmernoi zadachi akusticheskoi tomografii okeana”, Gidrofizicheskie izmereniya, VNIIFTRI, M., 1986
321.
V. M. Buchstaber, V. M. Pivovarov, S. P. Stefanov, “Temperature distribution in the self-induced thermal action of acoustic waves in glycerin”, Soviet Phys. Acoust., 32 (1986), 231–232
1985
322.
V. M. Bukhshtaber, V. K. Maslov, “Tomograficheskie metody analiza mnogomernykh dannykh”, Statististika. Veroyatnost. Ekonomika, Nauka, M., 1985, 108–116
323.
V. M. Bukhshtaber, S. A. Aivazyan, “Analiz dannykh, prikladnaya statistika i postroenie obschei teorii avtomaticheskoi klassifikatsii”, Metody analiza dannykh, Finansy i statistika, M., 1985, 5–22
324.
V. M. Bukhshtaber, V. K. Maslov, V. A. Pivovarov, “Primenenie algebraicheskikh metodov v obratnoi zadache izlucheniya pri “bluzhdayuschem” skanirovanii”, Issledovaniya v obl. radiotekhnicheskikh izmerenii, VNIIFTRI, M., 1985
325.
V. M. Bukhshtaber, V. K. Maslov, “Tomosintez volnovykh polei i neodnorodnykh sred (Teoriya difraktsionnoi tomografii)”, Tomograficheskie metody v fiziko-tekhnich. izmereniyakh, VNIIFTRI, M., 1985, 7–34
326.
V. M. Bukhshtaber, V. K. Maslov, “Ob algoritmakh resheniya zadach difraktsionnoi tomografii.”, Tomograficheskie metody v fiziko-tekhnich. izmereniyakh, VNIIFTRI, M., 1985, 34–51
1984
327.
V. M. Buchstaber, V. K. Maslov, A. M. Trokhan, “The method of acoustic tomography of the ocean”, Atmos. Ocean. Phys., 20 (1984), 571–577
328.
V. M. Bukhshtaber, M. Ya. Antonovskii, E. A. Zelenyuk, Yu. A. Izrael, F. Ya. Rovinskii, Yu. P. Cherkhanov, “K statisticheskomu obosnovaniyu komponent regionalnogo zagryazneniya atmosfery v fonovom raione”, DAN SSSR, 276:2 (1984), 334–337
329.
V. M. Buchstaber, A. A. Krel, N. V. Chichasova, M. Z. Kanevskaya, E. N. Lomakina, V. K. Maslov, “Long-term prospective-study of the clinical variants of rheumatoid-arthritis with the use of multidimentional statistical-analysis”, Tepapevticheskii apkhiv, 56:5 (1984), 68–75
330.
V. M. Buchštaber, S. G. Gindikin, “From Cavalieri's principle to the tomograph”, Pokroky Mat. Fyz. Astronom., 29:4 (1984), 196–210
331.
V. M. Bukhshtaber, Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i topologicheskie prilozheniya, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, vypolnena vo VNIIFTRI, M., 1984
1962
332.
V. M. Buchstaber, “The Steenrod algebra is an enveloping algebra of the supergroup of p-adic diffeomorphisms of the line”, Appendix to Russian transl.: N. Steenrod and D. Epstein, Cohomology operations, Princeton Univ. Press, Princeton, NJ, 1962
1983
333.
V. M. Bukhshtaber, E. K. Zelenyuk, V. K. Maslov, “Metody analiza i postroeniya algoritmov avtomaticheskoi klassifikatsii na osnove matematicheskikh modelei”, Prikladnaya statistika, Uchen. zap. po statistike, 34, Nauka, M., 1983, 126–144
1979
334.
V. M. Buchstaber, “Adams stable homotopy category”, Appendix 1 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
335.
V. M. Buchstaber, “The Becker-Gottlieb transfer”, Appendix 2 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
336.
V. M. Buchstaber, “Stable decompositions of the classifying spaces of classical Lie groups”, Appendix 3 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
337.
V. M. Buchstaber, “Cohomology operations and the formal group in cobordisms”, Appendix 4 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
1983
338.
V. M. Buchstaber, V. K. Maslov, A. M. Trokhan, “On a method of reconstructing the spatial structure of inhomogeneous media”, Soviet Phys. Dokl., 28 (1983), 760–762
339.
V. M. Bukhshtaber, S. G. Gindikin, “Ot printsipa Kavaleri k tomografu”, Priroda, 1983, no. 6, 12–24 , Nauka, M.
340.
V. M. Buchstaber, S. G. Gindikin, “From Cavalieri's principle to the tomograph”, Fiz. Mat. Spis. Bulgar. Akad. Nauk., 25(58):4 (1983), 297–314 (Bulgarian)
1982
341.
V. M. Bukhshtaber, A. N. Kholodov, “Topologicheskie konstruktsii, svyazannye s mnogoznachnymi formalnymi gruppami”, Izv. AN SSSR. Ser. matem., 46:1 (1982), 3–27 (cited: 7) (cited: 2)
342.
V. M. Buchstaber, E. I. Grigor'ev, V. G. Markin, G. B. Tarnovskii, V. P. Yaryna, “Creation of the program Prospect-1 for recovering the neutron spectra of nuclear reactors”, Measurement Techniques, 25 (1982), 634–625
343.
V. M. Bukhshtaber, V. G. Markin, “Issledovanie metodov tomograficheskogo vosstanovleniya izobrazhenii.”, Problemy metrol. inform.-izmerit. sistem v obl. fiz-tekh. izmeren., Trudy VNIIFTRI, M., 1982
344.
V. M. Bukhshtaber, V. K. Maslov, “Modeli i algoritmy avtomaticheskoi klassifikatsii mnogomernykh dannykh (teoriya klaster-analiza)”, Problemy metrol. inform.-izmerit. sistem v obl. fiz-tekh. izmeren., Trudy VNIIFTRI, M., 1982
1981
345.
V. M. Bukhshtaber, V. K. Maslov, E. K. Zelenyuk, “Metody postroeniya algoritmov etalonnogo tipa v zadachakh avtomaticheskoi klassifikatsii.”, Mashinnye metody obnaruzh. zakonom, Vychislit. sistemy, 88, SO AN SSSR, Novosibirsk, 1981, 65–79
346.
V. M. Bukhshtaber, V. K. Maslov, E. K. Zelenyuk, “Modeli i algoritmy avtomaticheskoi klassifikatsii dannykh”, II Vses. konf. “Primenen. mnogomern. stat. analiza v ekonomike i otsenke kachestva produktsii” (Tartu), 1981
1980
347.
V. M. Buchstaber, V. K. Maslov, “Problems of applied statistics as extremal problems on non-standard domains”, Algorithmic software of applied statistical analysis, Uchen. Zap. Statist., 36, 1980, 381–395
348.
S. A. Aivazyan, V. M. Bukhshtaber, “Pervaya Vsesoyuznaya shkola-seminar “Programmno-algoritmicheskoe obespechenie prikladnogo mnogomernogo statisticheskogo analiza””, UMN, 35:4(214) (1980), 227–230 (cited: 1)
1979
349.
V. M. Bukhshtaber, V. G. Markin, Yu. B. Solodikhin, “Opredelenie pokazatelya termicheskoi inertsii termopreobrazovatelya v turbulentnom potoke kriogennoi zhidkosti”, III Vses. sovesch. «Eksperiment, metody i apparatura dlya issledovaniya turbulentnosti», Tez. dokl., Novosibirsk, 1979
350.
V. M. Bukhshtaber, L. S. Veksler, E. A. Zhirmunskaya, E. A. Zelenyuk, V. K. Maslov, G. P. Fomichev, “Primenenie metodov mnogomernogo statisticheskogo analiza EEG dlya otsenki sostoyaniya neirodinamiki mozga”, Izv. AN SSSR. Ser. fiziol. cheloveka, 5:4 (1979), 196–205
1978
351.
V. M. Bukhshtaber, “Topologicheskie prilozheniya teorii dvuznachnykh formalnykh grupp”, Izv. AN SSSR. Ser. matem., 42:1 (1978), 130–184 (cited: 7)
352.
V. M. Bukhshtaber, A. V. Shokurov, “Algebra Landvebera–Novikova i formalnye vektornye polya na pryamoi”, Funkts. analiz i ego pril., 12:3 (1978), 1–11 (cited: 19)
353.
V. M. Bukhshtaber, “Kharakteristicheskie klassy v kobordizmakh i topologicheskie prilozheniya teorii odnoznachnykh i dvuznachnykh formalnykh grupp”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat., 10, VINITI, M., 1978, 5–178 (cited: 15)
354.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i topologicheskie prilozheniya”, Vestnik MGU, 6, ser. Matem. i mekhan. (1978)
1977
355.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy v apparate teorii kobordizmov”, UMN, 32:2(194) (1977), 205–206 (cited: 2)
356.
V. M. Bukhshtaber, V. K. Maslov, “Faktornyi analiz i ekstremalnye zadachi na mnogoobraziyakh Grassmana”, Matematicheskie metody resheniya ekonomicheskikh zadach, № 7 (Pril. k «Ekonom. i matem. medody»), Nauka, M., 1977, 85–102
357.
V. M. Buchstaber, V. K. Maslov, “Vector optimization in measurement data processing systems”, Measurement Techniques, 20 (1977), 679–683
358.
V. M. Bukhshtaber, V. K. Maslov, “Mnogoobraziya Grassmana, faktornyi analiz i raspoznavanie obrazov”, VII Vsesoyuznaya topologicheskaya Konferentsiya (tezisy dokladov), In-t matematiki AN BSSR, Minsk, 1977, 33
359.
V. M. Bukhshtaber, A. V. Shokurov, “Kogomologicheskie operatsii v teorii kompleksnykh kobordizmov i gruppa formalnykh diffeomorfizmov pryamoi”, VII Vsesoyuznaya topologicheskaya Konferentsiya (tezisy dokladov), In-t matematiki AN BSSR, Minsk, 1977, 34
1976
360.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. II”, Izv. AN SSSR. Ser. matem., 40:2 (1976), 289–325 (cited: 2)
361.
V. M. Bukhshtaber, V. K. Maslov, “Vektornaya optimizatsiya v sistemakh obrabotki izmeritelnoi informatsii”, Vsesoyuznaya shkola-seminar SOII, Tez. dokl., M., 1976
362.
V. M. Bukhshtaber, “Teoriya dvuznachnykh formalnykh grupp Li”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 31:3 (1976), 197
1975
363.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. I”, Izv. AN SSSR. Ser. matem., 39:5 (1975), 1044–1064 (cited: 10)
364.
V. M. Bukhshtaber, “Kobordizmy v zadachakh algebraicheskoi topologii”, Itogi nauki i tekhn. Ser. Algebra. Topol. Geom., 13, VINITI, M., 1975, 231–271 (cited: 2)
365.
V. M. Bukhshtaber, V. K. Maslov, “Factor analysis on manifolds and the problem of singling out features in pattern recognition”, Engrg. Cybernetics, 13:6 (1975), 160–167
1974
366.
V. M. Buchstaber, A. S. Mishchenko, Lectures on intrinsic homology and formal groups, Tenth Mathematical School (Summer School, Kaciveli/Nalchik, 1972), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974, 190–259
1973
367.
V. M. Bukhshtaber, “Klassifikatsiya dvuznachnykh formalnykh grupp”, UMN, 28:3(171) (1973), 173–174 (cited: 5)
1968
368.
V. M. Buchstaber, “New methods in cobordism theory”, Appendix to Russian transl.: R. Stong, Notes on cobordism theory, Princeton Univ. Press, Princeton, NJ, 1968
1972
369.
V. M. Bukhshtaber, “Proektory v unitarnykh kobordizmakh, svyazannye s $SU$-teoriei”, UMN, 27:6(168) (1972), 231–232 (cited: 5)
370.
V. M. Bukhshtaber, “Formalnye gruppy Li v apparate algebraicheskoi topologii”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 27:2 (1972), 158 (cited: 1)
371.
V. M. Bukhshtaber, “Kobordizmy i formalnye gruppy”, VI Vses. topol. Konf., tezisy dokl. (Tbilisi), 1972, 26
1971
372.
V. M. Bukhshtaber, S. P. Novikov, “Formalnye gruppy, stepennye sistemy i operatory Adamsa”, Matem. sb., 84(126):1 (1971), 81–118 (cited: 35)
373.
V. M. Bukhshtaber, “Spektralnye posledovatelnosti, svyazannye s kharakterom Chzhenya–Dolda v kobordizmakh”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 26:1 (1971), 214–215 (cited: 1)
374.
V. M. Bukhshtaber, A. S. Mischenko, S. P. Novikov, “Formalnye gruppy i ikh rol v apparate algebraicheskoi topologii”, UMN, 26:2(158) (1971), 131–154 (cited: 12)
375.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Nekotorye prilozheniya k kobordizmam”, UMN, 26:3(159) (1971), 195–196 (cited: 9) (cited: 9) (cited: 2)
1970
376.
V. M. Bukhshtaber, “Moduli differentsialov spektralnoi posledovatelnosti Atya–Khirtsebrukha. II”, Matem. sb., 83(125):1(9) (1970), 61–76 (cited: 7)
377.
V. M. Bukhshtaber, “Kharakter Chzhenya–Dolda v kobordizmakh. I”, Matem. sb., 83(125):4(12) (1970), 575–595 (cited: 32)
1969
378.
V. M. Bukhshtaber, A. S. Mischenko, “Zamechanie k rabote “$K$-teoriya na kategorii beskonechnykh kletochnykh kompleksov””, Izv. AN SSSR. Ser. matem., 33:1 (1969), 239 (cited: 1)
379.
V. M. Buchstaber, “Representative spaces for a K-functor with coefficients”, Soviet Math. Dokl., 10:3 (1969), 606–610
380.
V. M. Bukhshtaber, “Moduli differentsialov spektralnoi posledovatelnosti Atya–Khirtsebrukha”, Matem. sb., 78(120):2 (1969), 307–320 (cited: 9)
381.
V. M. Bukhshtaber, Kogomologicheskie operatsii v obobschennykh teoriyakh kogomologii, Dissertatsiya na soiskanie uchënoi stepeni kandidata fiziko-matematicheskikh nauk, vypolnena na mekh-mate MGU, M., 1969
382.
V. M. Bukhshtaber, A. S. Mischenko, “Svoistvo nepreryvnykh gomeomorfizmov evklidovykh prostranstv i gladkie struktury na tore”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 24:5 (1969), 224 (cited: 3)
1968
383.
V. M. Buchstaber, A. S. Mishchenko, “Elements of infinite filtration in $K$-theory”, Soviet Math. Dokl., 9:1 (1968), 256–259
384.
V. M. Bukhshtaber, A. S. Mischenko, “$K$-teoriya na kategorii beskonechnykh kletochnykh kompleksov”, Izv. AN SSSR. Ser. matem., 32:3 (1968), 560–604 (cited: 5)
385.
V. M. Bukhshtaber, A. S. Mischenko, S. P. Novikov, “Sovremennoe ponimanie teorii gomologii”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 23:4 (1968), 241 (cited: 3)
1967
386.
V. M. Bukhshtaber, A. S. Mischenko, “$K$-teoriya na kategorii $CW$-kompleksov”, V Vses. topol. konf., tez. dokl. (Novosibirsk), 1967, 7–10
1966
387.
V. M. Buchstaber, “On the J-functor of cell complexes”, Soviet Math. Dokl., 7 (1966), 1118–1121
Toric topology: definitions, constructions, results V. M. Buchstaber Toric topology in old and new problems from various fields of mathematics. Distinguished Lecture Series: Victor Buchstaber. March 17-19, 2020, The Fields Institute March 17, 2020 15:30
Convex polytopes, fullerenes and Lobachevsky geometry V. M. Buchstaber XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa May 13, 2019 10:55
10.
Приветственное слово V. A. Panin, V. M. Buchstaber XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa May 13, 2019 10:00
11.
Топограф Конвея и двузначные группы V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS February 6, 2019 14:00
Korteweg–de Vries equation and hyperelliptic functions theory V. M. Buchstaber Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005 November 19, 2018 16:10
Полиномиальные гамильтоновы интегрируемые системы V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS October 17, 2018 18:30
21.
Открытие V. M. Buchstaber, D. V. Treschev, S. P. Novikov International conference "Discrete Mathematics and Mathematical Crystallography" dedicated to the 80th anniversary of Mikhail Ivanovich Stogrin September 26, 2018 14:00
Toric topology of complex Grassmann manifolds V. Buchstaber Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg
on the occasion of his 80th birthday December 18, 2017 14:30
29.
Полиномиальные алгебры Ли и теорема Зельманова–Шалева V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS October 25, 2017 18:30
Когомологически жесткие многообразия V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS December 21, 2016 14:00
Memorial meeting (conference room 9th floor) E. M. Chirka, S. Yu. Orevkov, A. G. Sergeev, V. M. Buchstaber, M. S. Mel'nikov, A. B. Zhizhchenko International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 10, 2016 18:00
4-color problem and toric topology of fullerenes V. M. Bukhshtaber Mathematics, Theoretical Physics and Data Science 2016 dedicated to anniversaries of Yakov Sinai and Grigory Margulis July 5, 2016 12:00
$n$-жесткие функции и функциональное уравнение Хирцебруха V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS October 7, 2015 18:30
Functional equations and manifolds with torus action V. M. Buchstaber General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 30, 2014 14:00
59.
Combinatorics of flag polytopes V. M. Buchstaber St. Petersburg Seminar on Representation Theory and Dynamical Systems October 29, 2014 17:00
Complex cobordisms and toric topology V. M. Buchstaber International conference "Geometry, Topology, Integrable Systems" in honour of S. P. Novikovs 75th birthday June 17, 2013 11:50
Symmetric quadratic dynamical systems V. M. Buchstaber International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold December 19, 2012 10:50
Башни $S^1$-расслоений и приложения V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS October 17, 2012 18:30
Complex cobordisms and formal groups V. M. Buchstaber P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics October 24, 2011 18:30
82.
Toric topology V. M. Buchstaber General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 10, 2011 13:00
Эллиптические законы сложения и уравнение Ламе V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS September 29, 2010 18:30
86.
Общий род Кричевера V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS August 25, 2010 14:00
Abelian functions and singularity theory V. M. Buchstaber International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold August 21, 2007 10:05
Гиперэллиптические теоремы сложения и приложения V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS December 15, 2004
Books in Math-Net.Ru
Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Tr. Mat. Inst. Steklova, 302, ed. V. M. Buchstaber, I. A. Dynnikov, O. K. Sheinman, 2018, 399 с. http://mi.mathnet.ru/book1715
Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 292, ed. V. M. Buchstaber, A. G. Sergeev, 2016, 279 с. http://mi.mathnet.ru/book1615
Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 288, ed. V. M. Bukhshtaber, A. G. Sergeev, 2015, 287 с. http://mi.mathnet.ru/book1576
Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 266, ed. V. M. Buchstaber, E. F. Mishchenko, 2009, 272 с. http://mi.mathnet.ru/book1149
Geometry, topology, and mathematical physics. I, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 263, ed. V. M. Buchstaber, E. F. Mishchenko, 2008, 272 с. http://mi.mathnet.ru/book817
Nonlinear dynamics, Collected papers, Tr. Mat. Inst. Steklova, 251, ed. V. M. Buchstaber, E. F. Mishchenko, 2005, 319 с. http://mi.mathnet.ru/book264
Solitons, geometry, and topology: on the crossroads, Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov, Tr. Mat. Inst. Steklova, 225, ed. V. M. Buchstaber, E. F. Mishchenko, 1999, 400 с. http://mi.mathnet.ru/book238
2020
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