Main results include: 1) A system of invariants of knots, links, and plane curves, stronger than all known polynomial invariants; 2) A universal method of the computation of homology groups of spaces of non-degenerate geometrical objects, producing in particular the knot invariants and numerous comparison theorems of the Smale–Hirsch–Gromov type for spaces of real and complex functions and maps without complicated singularities; 3) Best known (and asymptotically sharp) estimates of the numbers of branchings of algorithms of approximate computation of roots of polynomials 4) "Stratified" version of the Picard–Lefschetz theory for the homology groups of singular manifolds; 5) A proof of the Atiyah–Bott Garding conjecture on the equivalence of the sharpness of the wave front of a hyperbolic operator to the topological Petrovskii condition; an interpretation of these conditions in the terms of the geometry of the front; 6) Multidimensional analogues of the Newton's theorem on the non-integrability of ovals; 7) A construction of multi-dimensional analogues of the Maslov index by the methods of the singularity theory (the "universal complex of singularities"); 8) A calculation of the stable homotopy types of complements of plane arrangements in $\mathbf R^n$, generalizing the Goresky–MacPherson formula for the homology groups of such complements. Other results concern complexity theory of smooth maps, real algebraic geometry, generalized hypergeometric functions, topology of Lie groups, dynamical systems, geometrical combinatorics, potential theory, etc.
Biography
Graduated from the Department of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1965 Ph.D. since 1982 (advisor V. I. Arnold); D.Sci. since 1992. More than 100 scientific publications. Since 1997 I run a research seminar at the Independent University of Moscow. Board member of journals "Functional Analysis and its Applications" (Editor in Chief), Izvestiya RAS, Doklady DAS, Moscow Mathematical Journal, Selecta Mathematica (New Series), Topology and its Applications, Journal of Knot Theory and its Ramifications. Member of the Executive Committee of International Mathematical Union (2004–2010). President of the Moscow Mathematical Society (2010–present).
Moscow Math. Society award of 1985 for the cycle of works "Characteristic classes of wave fronts". Plenary invited address at the Zurich International Congress of Mathematicians (1994). Miller Research Professor, UC Berkeley, 1999. Visiting Fellow Commoner, Trinity College, Cambridge University, 2000. Russia State Award in the field of education.
Main publications:
V. A. Vassiliev, Complements of discriminants of smooth maps: topology and applications, 2-d extended edition, Translations of Math. Monographs, 98, AMS, Providence, RI, 1994, 268 pp. ; rasshirennyi russkii perevod: V. A. Vasilev, Topologiya dopolnenii k diskriminantam, Fazis, Moskva, 1997, xiv+536 s.
V. A. Vassiliev, Ramified integrals, singularities and lacunas, Math. Appl., 315, Kluwer Academic Publishers, Dorderecht (Netherlands), 1995, xviii+289 pp. ; rasshirennyi russkii perevod: V. A. Vasilev, Vetvyaschiesya integraly, MTsNMO, Moskva, 2000, 432 s.
V. A. Vassiliev, Lagrange and Legendre characteristic classes, 2-d edition, Gordon and Breach Publishers, New York a.o., 1993, 273 pp. ; rasshirennyi russkii perevod: V. A. Vasilev, Lagranzhevy i lezhandrovy kharakteristicheskie klassy, MTsNMO, Moskva, 2000, 312 s.
V. I. Arnold, V. A. Vasilev, V. V. Goryunov, O. V. Lyashko, Osobennosti. I. Lokalnaya i globalnaya teoriya, Itogi nauki i tekhniki. Sovr. probl. matem. Fundam. napr., 6, VINITI, Moskva, 1988, 256 s. ; Osobennosti. II. Klassifikatsiya i prilozheniya, Itogi nauki i tekhniki. Sovr. probl. matem. Fundam. napr., 39, 1989, 256 s. ; English translation: V. I. Arnold, V. A. Vasil'ev, V. V. Goryunov, O. V. Lyashko, Singularities, Encycl. Math. Sci., 6, 39, Springer-Verlag, Berlin–New York, 1993, 245+233 pp.
V. A. Vassiliev, “Combinatorial formulas for cohomology of spaces of knots”, Moscow Math. J., 1:1 (2001), 91–123
V.A. Vassiliev, “Monodromy in Integral Geometry and PDE”, Handbook of Geometry and Topology of Singularities VIII, eds. Cisneros-Molina, J.L., Dũng Tráng, L., Seade, J., Springer, 2026, 491–526
2.
V.A. Vassiliev, “Isotopy Classification of Morse Polynomials of Degree Three on R^3”, Moscow Math. Journal, 26:1 (2026), 97–142, arXiv: 2404.17891
3.
V.A. Vassiliev, Inscribed squares of level sets of functions on the sphere, 2026, 3 pp., arXiv: 2607.13052
4.
V.A. Vassiliev, “Equilevel algebras”, Journal of Knot Theory and Its Ramifications, 2026, 1–68 (to appear), arXiv: 2503.19343
2025
5.
V.A. Vassiliev, “Real Function Singularities and Their Bifurcation Sets”, Handbook of Geometry and Topology of Singularities VII, eds. José Luis Cisneros-Molina, Lê Dũng Tráng, José Seade, Springer, 2025, 71–119https://link.springer.com/chapter/10.1007/978-3-031-68711-2_2
V. A. Vassiliev, “Average intersection numbers of low-harmonic plane curves in L_2 and W_2^r statistics”, Journal of Knot Theory and Its Ramifications, 34:08 (2025), 2550042, 10 pp., arXiv: 2303.12645
V.A. Vassiliev, Complements of caustics of the real J_10 singuularities, 2025, 26 pp., arXiv: 2510.03883
10.
V.A. Vassiliev, Complements of discriminants of real parabolic function singularities. II, 2025, 46 pp., arXiv: 2512.12738
11.
T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357
2024
12.
V. A. Vassiliev, “On the homology of spaces of equivariant maps”, J. Topol. Anal., 16:4 (2024), 461–494, arXiv: 1809.05632
V.A. Vassiliev, “Cohomology of spaces of Hopf equivariant maps of spheres”, Homology, Homotopy and Applications, 26:2 (2024), 219–227, arXiv: 2102.07157
V.A. Vassiliev, On the cohomology of varieties of chord diagrams, 2024, 8 pp., arXiv: 2412.18508
18.
V. A. Vasilev, “I.M. Gelfand na zakate sovetskoi vlasti”, V kn. “I. M. Gelfand. K 110-letiyu”, s. 73–76., 2024 https://biblio.mccme.ru/node/235327
2023
19.
V.A. Vassiliev, "Complements of discriminants of real singularities of type $X_{10}$", 2023, 25 pp., arXiv: 2301.06994
20.
Mark Agranovksy, Jan Boman, Alexander Koldobsky, Victor Vassiliev, Vladyslav Yaskin, “Algebraically integrable bodies and related properties of the Radon transform”, Harmonic Analysis and Convexity, eds. Alexander Koldobsky and Alexander Volberg, De Gruyter, Berlin, Boston, 2023, 1–36; arXiv: 2212.07510
V.A. Vassiliev, “Complements of discriminants of real parabolic function singularities”, Moscow Mathematical Journal, 23:3 (2023), 401–432, arXiv: 2208.10929
Victor A. Vassiliev, “Varieties of chord diagrams, braid group cohomology and degeneration of equality conditions”, Pacific Journal of Mathematics, 326:1 (2023), 135–160, arXiv: 2108.00463
2022
23.
V. L. Arlazarov, A. Ya. Belov, V. O. Bugaenko, V. A. Vassiliev, A. L. Gorodentsev, S. A. Dorichenko, Yu. S. Ilyashenko, V. M. Imaykin, S. I. Komarov, A. G. Kushnirenko, Yu. P. Lysov, A. L. Semenov, V. M. Tikhomirov, A. K. Tolpygo, A. G. Khovanskii, P. A. Yakushkin, I. V. Yaschenko, “Nikolai Nikolaevich Konstantinov (obituary)”, Russian Math. Surveys, 77:3 (2022), 531–541
2021
24.
Victor Vassiliev, “D. Fuchs in the Arnold seminar”, Celebratio Mathematica, D. B. Fuchs, Mathematical Sciences Publishers, 2021, 2021 https://celebratio.org/Fuchs_DB/article/929/
2020
25.
Victor A. Vassiliev, “New Examples of Irreducible Local Diffusion of Hyperbolic PDE's”, SIGMA, 16 (2020), 9, 21 pp., arXiv: 1909.13211
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. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Russian Math. Surveys, 75:2 (2020), 369–375
V. A. Vassiliev, “New examples of locally algebraically integrable bodies”, Mathematical Notes, 106:6 (2019), 894–898, arXiv: 1902.07235
2018
32.
Victor A.Vassiliev, “Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials”, 2018, 32 pp., arXiv: 1809.05632
33.
V. A. Vassiliev, “Lacunas and local algebraicity of volume functions”, J. Singul., 18 (2018), 350–357, arXiv: 1803.07829
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
38.
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
2017
39.
V. A. Vassiliev, “Stable cohomology of spaces of non-resultant polynomial systems in $\mathbb R^3$”, Dokl. Math., 96:3 (2017), 616–619
40.
V. A. Vassiliev, “Multiplicities of bifurcation sets of Pham singularities”, Mosc. Math. J., 17:4 (2017), 825–836, arXiv: 1701.03909
A. Chernavski, D. Fuchs, S. Gusein-Zade, Yu. Ilyashenko, O. Karpenkov, A. Kirillov, S. Lando, S. Matveev, M. Skopenkov, V. Tikhomirov, M. Tsfasman, V. Vassiliev, “Alexei Bronislavovich Sossinsky turns 80”, Mosc. Math. J., 17:3 (2017), 555–558
2016
44.
V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810
45.
V. A. Vassiliev, “Multiplicities of Maxwell sets of Pham singularities”, Funct. Anal. Appl., 50:3 (2016), 225–227
46.
Victor A. Vassiliev, “Linking numbers in non-orientable 3-manifolds”, J. Knot. Theor. Ramif., 25:12 (2016), 1642016, 13 pp., arXiv: 1606.05876
V. A. Vassiliev, “Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations”, Sb. Math., 207:10 (2016), 1363–1383
48.
S. Chmutov, M. Karev, A. Khovanski, J. Krasilshchik, S. Lando, N. Mnev, G. Panina, Yu. Romanovski, I. Scherbak, A. Sossinski, A. Varchenko, N. Vasilyev, V. Vassiliev, A. Vershik, “Remembrance: Sergei Duzhin (June 17, 1956–February 1, 2015)”, Journal of Knot Theory and its Ramifications, 25:12 (2016), 1677001-1–1677011-8
49.
V. I. Arnold, Collected works, v. III, Singularity Theory 1972-1979, eds. A. B. Givental, B. A. Khesin, M. B. Sevryuk, V. A. Vassiliev, O. Ya. Viro, Springer-Verlag, Berlin–Heidelberg, 2016, XIV+509 pp. http://www.springer.com/series/8602
M. Gelfand, V. Vasilev, Esli potratish zhizn na matematiku, to ty ee ne zrya prozhil, “Troitskii variant” 25 (219), s. 6, 2016 http://trv-science.ru/uploads/219N.pdf
2015
52.
V. A. Vassiliev, “Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups”, Bull. Lond. Math. Soc., 47:2 (2015), 290–300, arXiv: 1407.7221
V. A. Vassiliev, “Homology of spaces of non-resultant polynomial systems in $\mathbb R^2$ and $\mathbb C^2$”, Arnold Math. J., 1:3 (2015), 233–242, arXiv: 1409.6005
V. A. Vassiliev, “Rational Homology of the Order Complex of Zero Sets of Homogeneous Quadratic Polynomial Systems in $\mathbb R^3$”, Proc. Steklov Inst. Math., 290 (2015), 197–209, arXiv: 1501.06063
56.
P. Etingof, S. Loktev, L. Rybnikov, S. Gusein-Zade, Yu. Ilyashenko, S. Lando, M. Tsfasman, V. Vassiliev, “Boris Feigin”, Mosc. Math. J., 15:2 (2015), 185–186
V. Vassiliev, “Topology in Arnold's Work”, Arnold: Swimming Against the Tide, eds. B. A. Khesin and S. L. Tabachnikov, Amer. Math. Soc., Providence, RI, 2014, 165–171http://www.ams.org/bookstore-getitem/item=mbk-86
A. I. Bufetov, A. A. Glutsyuk, S. M. Gusein-Zade, A. S. Gorodetski, V. Yu. Kaloshin, A. G. Khovanskii, V. A. Kleptsyn, S. Yu. Nemirovskii, A. B. Sossinsky, M. A. Tsfasman, V. A. Vassiliev, S. Yu. Yakovenko, “Yulij Sergeevich Ilyashenko”, Mosc. Math. J., 14:2 (2014), 173–179
61.
V. A. Vasilev, N. M. Karpushina, S. N. Fedin, “Glavnyi element ucheby – eto opyt obscheniya s umnymi lyudmi! (Intervyu s V. A. Vasilevym)”, Matematika v shkole, 2014, no. 6, 3–8
2013
62.
V. A. Vasilev, “Bez samoobrazovaniya - nikak”, Troitskii variant, 2013, no. 22(141) (5.11.2013), 8http://trv-science.ru/141N.pdf
63.
V. A. Vasilev, “Pamyati Andreya Zelevinskogo”, Troitskii variant, 2013, no. 8(127) (23.04.2013), 14http://trv-science.ru/127N.pdf
64.
V. A. Vasilev, “Finalnyi variant tumanen”, Troitskii variant, 2013, no. 21(140) (22.10.2013), 2http://trv-science.ru/140N.pdf
V. I. Arnold, Collected works, v. 2, Hydrodynamics, Bifurcation Theory, and Algebraic Geometry, 1965–1972, eds. A. B. Givental, B. A. Khesin, A. N. Varchenko, V. A. Vassiliev, O. Ya. Viro, Springer-Verlag, Berlin–Heidelberg, 2013, 466 pp.
68.
V. A. Vassiliev, Vvedenie v topologiyu [Introduction to Topology], Extended Chinese translation of the 1997 textbook, International Press of Boston/Higher Education Press, Beijing, 2013, 150 pp.
69.
V. A. Vasilev, “Uchitelya”, v kn.: M. M. Yudkevich, Yu. V. Ivanova, L. F. Borusyak, V. V. Seliverstov, Pokoleniya VShE. Uchitelya ob uchitelyakh, Izdatelskii dom NIU VShE, M., 2013, 15–19
A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Russian Math. Surveys, 67:2 (2012), 375–379
76.
D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571
77.
V. A. Vasilev, “Novoe vino? Starye mekhi? (Podborka kommentariev k state A. Volkova i D. Livanova «Stavka na novoe soderzhanie»)”, Troitskii variant, 2012, no. 18(112), 2http://trv-science.ru/2012/09/11/
S. A. Grishanov, V. A. Vassiliev, “Invariants of links in 3-manifolds and splitting problem of textile structures”, J. Knot Theory Ramifications, 20:3 (2011), 345–370http://ag.hse.ru/data/2012/03/12/1211315126/4gv.pdf
S. A. Grishanov, V. A. Vassiliev, “Gauss diagram invariants of links in $M^2\times\mathbf R^1$”, J. Knot Theory Ramifications, 20:3 (2011), 371–387http://www.pdmi.ras.ru/ãrnsem/papers/5gv.pdf
82.
V. A. Vassiliev, “Topological complexity and Schwarz genus of general real polynomial equation”, Mosc. Math. J., 11:3 (2011), 617–625
V. A. Vasilev, “Integriruemye ovaly i monodromiya. Annotatsiya doklada 10.12.2009”, Trudy seminara po vektornomu i tenzornomu analizu, XXVII, Izd-vo Mosk. un-ta, 2011, 18
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
91.
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), 481–483http://www.ams.org/distribution/mmj/vol10-3-2010/viarnold.html
S. A. Grishanov, V. A. Vassiliev, “Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in $M^2\times\mathbf R^1$”, Topology Appl., 156:14 (2009), 2307–2316http://www.pdmi.ras.ru/ãrnsem/papers/3gv.pdf
S. A. Grishanov, V. R. Meshkov, V. A. Vassiliev, “Recognizing textile structures by finite type knot invariants”, J. Knot Theory Ramifications, 18:2 (2009), 209–235http://www.pdmi.ras.ru/ãrnsem/papers/1gmv.pdf
S. Gusein-Zade, Yu. Ilyashenko, D. Kaledin, A. Kuznetsov, S. Lando, A. Sossinski, M. Tsfasman, V. Vassiliev, A. Vershik, “A tribute to Pierre Deligne”, Mosc. Math. J., 9:1 (2009), 1–2
A. Némethi, D. van Straten, V. A. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 6:3 (2009), 2405–2406
2008
99.
S. A. Grishanov, V. A. Vassiliev, “Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds”, Topology Appl., 155:16 (2008), 1757–1765http://www.pdmi.ras.ru/ãrnsem/papers/2gv.pdf
V. A. Aleksandrov, Yu. A. Aminov, V. M. Buchstaber, V. A. Vassiliev, N. P. Dolbilin, S. P. Novikov, Yu. G. Reshetnyak, V. A. Sadovnichii, V. T. Fomenko, “Idzhad Khakovich Sabitov (on his 70th birthday)”, Russian Math. Surveys, 63:6 (2008), 1173–1177
102.
V. A. Vasilev, “Prodolzhenie razgovora ob ekspertize uchebnikov”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2008, no. 4, 4–6
2007
103.
A. V. Chernavskii, Yu. S. Ilyashenko, S. K. Lando, S. V. Matveev, M. A. Tsfasman, V. A. Vassiliev, “Alexei B. Sossinsky”, Mosc. Math. J., 7:4 (2007), 763–764
104.
S. M. Gusein-Zade, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, V. M. Zakalyukin, “Vladimir Igorevich Arnold”, Mosc. Math. J., 7:3 (2007), 571
105.
V. A. Vassiliev, Yu. G. Zarhin, V. A. Iskovskikh, D. B. Kaledin, Vik. S. Kulikov, Yu. I. Manin, D. O. Orlov, A. N. Parshin, I. R. Shafarevich, “Fedor Alekseevich Bogomolov (on his 60th birthday)”, Russian Math. Surveys, 62:6 (2007), 1233–1237
106.
A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii, “Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday”, Proc. Steklov Inst. Math., 259 (2007), 1–5
107.
V. A. Vasilev, “Matematiki RAN o shkolnykh uchebnikakh po matematike”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2007, no. 1, 3–6
108.
“Invisible member of the Russian education”, 2007
2006
109.
“On the program of PhD exams on history and philosophy of science (in application to mathematical sciences)”, Vestnik MSU, ser. 20, 2 (2006), 35–39
110.
J. Steenbrink, D. van Straten, V. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 3:3 (2006), 2505–2506
V. A. Vassiliev, “First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in $\mathbb R^n$”, Izv. Math., 69:5 (2005), 865–912http://www.pdmi.ras.ru/ãrnsem/papers/
113.
V. I. Arnold, A. A. Davydov, V. A. Vassiliev, V. M. Zakalyukin, “Mathematical models and control of catastrophic processes”, UNESCO Encyclopaedia of Life Support Systems, v. II, eds. V. I. Agoshkov, J.-P. Puel, EOLSS Publishers, Oxford, UK, 2005, 3–46http://www.eolss.net/Sample-Chapters/C02/E6-03A-07-05.pdf
2004
114.
V. A. Vassiliev, “Combinatorial formulas for cohomology of spaces of knots”, Advances in topological quantum field theory, NATO Sci. Ser. II Math. Phys. Chem., 179, Kluwer Acad. Publ., Dorderecht, 2004, 1–21http://www.pdmi.ras.ru/ãrnsem/papers/cofor.ps.gz
115.
“Ramified integals and Picard-Lefschetz theories”, Globus. Seminar of the Moscow Independent University, 2004, 22–58
116.
V. A. Vassiliev, “Role of mathematics, as they think of it”, Notices of the AMS, 51:8 (2004), 870–871
2003
117.
V. A. Vasilev, “Algoritmy dlya kombinatornoi realizatsii kogomologii prostranstv uzlov”, Fundamentalnaya matematika segodnya, NMU, M., 2003, 10–31http://booksmania.biz/other/textbook4117.html
S. M. Gusein-Zade, Yu. S. Ilyashenko, A. G. Khovanskii, M. A. Tsfasman, V. A. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 3:2 (2003), 261
120.
Yu. S. Ilyashenko, I. M. Krichever, S. P. Novikov, M. A. Tsfasman, V. A. Vassiliev, “Victor Buchstaber”, Mosc. Math. J., 3:1 (2003), 257
121.
B. L. Feigin, Yu. S. Ilyashenko, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, “Alexander Belavin”, Mosc. Math. J., 3:1 (2003), 255–256
2002
122.
V. A. Vassiliev, Applied Picard–Lefschetz theory, Math. Surveys Monogr., 97, Amer. Math. Soc., Providence, RI, 2002, xii+324 pp.
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