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Tikhomirov, Alexander Sergeevich
Professor
Doctor of physico-mathematical sciences
E-mail:
Website: http://www.hse.ru/org/persons/133990031

https://www.mathnet.ru/eng/person8856
List of publications on Google Scholar
https://zbmath.org/authors/ai:tikhomirov.alexander-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/351347
https://orcid.org/0000-0003-3647-0162

Publications in Math-Net.Ru Citations
2025
1. I. Yu. Lanskikh, A. S. Tikhomirov, “Moduli of rank 3 semistable sheaves on the projective space ${\Bbb P}^3$ with singularities of mixed dimension”, Sibirsk. Mat. Zh., 66:1 (2025),  73–87  mathnet; Siberian Math. J., 66:1 (2025), 64–77
2024
2. D. A. Vasil'ev, A. S. Tikhomirov, “Moduli of rank $2$ semistable sheaves on rational Fano threefolds of the main series”, Mat. Sb., 215:10 (2024),  3–57  mathnet  mathscinet; Sb. Math., 215:10 (2024), 1269–1320  isi  scopus 2
2021
3. C. Almeida, M. Jardim, A. S. Tikhomirov, S. A. Tikhomirov, “New moduli components of rank 2 bundles on projective space”, Mat. Sb., 212:11 (2021),  3–54  mathnet  zmath; Sb. Math., 212:11 (2021), 1503–1552  isi  scopus 5
2019
4. A. S. Tikhomirov, S. A. Tikhomirov, D. A. Vassiliev, “Construction of stable rank $2$ bundles on $\mathbb{P}^3$ via symplectic bundles”, Sibirsk. Mat. Zh., 60:2 (2019),  441–460  mathnet  elib; Siberian Math. J., 60:2 (2019), 343–358  isi  scopus 6
2018
5. Marcos Jardim, Dimitri Markushevich, Alexander S. Tikhomirov, “New divisors in the boundary of the instanton moduli space”, Mosc. Math. J., 18:1 (2018),  117–148  mathnet  isi  scopus 8
2015
6. I. B. Penkov, A. S. Tikhomirov, “On the Barth-Van de Ven-Tyurin-Sato theorem”, Mat. Sb., 206:6 (2015),  49–84  mathnet  mathscinet  zmath  elib; Sb. Math., 206:6 (2015), 814–848  isi  scopus 4
2014
7. A. S. Tikhomirov, M. A. Zavodchikov, “Reducibility of the Moduli Space of Stable Rank $2$ Reflexive Sheaves with Chern Classes $c_1=-1$, $c_2=4$, $c_3=2$ on Projective Space $\mathbb{P}^3$”, Model. Anal. Inform. Sist., 21:2 (2014),  90–96  mathnet
2013
8. A. S. Tikhomirov, “Moduli of mathematical instanton vector bundles with even $c_2$ on projective space”, Izv. RAN. Ser. Mat., 77:6 (2013),  139–168  mathnet  mathscinet  zmath  elib; Izv. Math., 77:6 (2013), 1195–1223  isi  elib  scopus 26
2012
9. A. S. Tikhomirov, “Moduli of mathematical instanton vector bundles with odd $c_2$ on projective space”, Izv. RAN. Ser. Mat., 76:5 (2012),  143–224  mathnet  mathscinet  zmath  elib; Izv. Math., 76:5 (2012), 991–1073  isi  elib  scopus 35
2011
10. I. B. Penkov, A. S. Tikhomirov, “Triviality of vector bundles on twisted ind-Grassmannians”, Mat. Sb., 202:1 (2011),  65–104  mathnet  mathscinet  zmath  elib; Sb. Math., 202:1 (2011), 61–99  isi  scopus 5
2004
11. A. S. Tikhomirov, S. A. Tikhomirov, “On the Variety of Complete Punctual Flags of Length 5 in Dimension 2”, Trudy Mat. Inst. Steklova, 246 (2004),  277–282  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 246 (2004), 263–269
2003
12. D. G. Markushevich, A. S. Tikhomirov, “Symplectic structure on a moduli space of sheaves on the cubic fourfold”, Izv. RAN. Ser. Mat., 67:1 (2003),  131–158  mathnet  mathscinet  zmath  elib; Izv. Math., 67:1 (2003), 121–144  isi  scopus 9
13. A. S. Tikhomirov, “On Birational Transformations of Hilbert Schemes of an Algebraic Surface”, Mat. Zametki, 73:2 (2003),  281–294  mathnet  mathscinet  zmath; Math. Notes, 73:2 (2003), 259–270  isi 2
1999
14. A. S. Tikhomirov, T. L. Troshina, “Birational and numerical geometry of the variety of complete pairs of two-point spaces of an algebraic surface”, Mat. Zametki, 65:3 (1999),  412–419  mathnet  mathscinet  zmath; Math. Notes, 65:3 (1999), 344–350  isi 1
1997
15. A. S. Tikhomirov, “The variety of complete pairs of zero-dimensional subschemes of an algebraic surface”, Izv. RAN. Ser. Mat., 61:6 (1997),  153–180  mathnet  mathscinet  zmath  elib; Izv. Math., 61:6 (1997), 1265–1291  isi  scopus 22
1995
16. A. S. Tikhomirov, “A smooth model for the punctual Hilbert scheme of a surface”, Trudy Mat. Inst. Steklov., 208 (1995),  318–334  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 208 (1995), 280–295 5
1989
17. A. S. Tikhomirov, “Smoothness of the moduli scheme of instanton vector bundles with $c_1=0$, $c_2=n$ on $P^3$”, Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989),  897–906  mathnet  mathscinet  zmath; Math. USSR-Izv., 35:1 (1990), 233–243
1986
18. A. S. Tikhomirov, “The Abel–Jacobi mapping of sextics of genus three onto double $P^3$ of index two”, Dokl. Akad. Nauk SSSR, 286:4 (1986),  821–824  mathnet  mathscinet  zmath 2
1982
19. A. S. Tikhomirov, “Singularities of the theta divisor of the intermediate Jacobian of a double cover of $P^3$ of index two”, Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982),  1062–1081  mathnet  mathscinet  zmath; Math. USSR-Izv., 21:2 (1983), 355–373 8
1981
20. A. S. Tikhomirov, “The Fano surface of the Veronese double cone”, Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981),  1121–1197  mathnet  mathscinet  zmath; Math. USSR-Izv., 19:2 (1982), 377–443 5
1980
21. A. S. Tikhomirov, “The intermediate Jacobian of the double covering of $P^3$ branched at a quartic”, Izv. Akad. Nauk SSSR Ser. Mat., 44:6 (1980),  1329–1377  mathnet  mathscinet  zmath; Math. USSR-Izv., 17:3 (1981), 523–566  isi 10
22. A. S. Tikhomirov, “The geometry of the Fano surface of the double cover of $P^3$ branched in a quartic”, Izv. Akad. Nauk SSSR Ser. Mat., 44:2 (1980),  415–442  mathnet  mathscinet  zmath; Math. USSR-Izv., 16:2 (1981), 373–397  isi 13
23. A. S. Tikhomirov, “A four-dimensional bundle of quadrics, and a monad”, Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980),  219–232  mathnet  mathscinet  zmath; Math. USSR-Izv., 16:1 (1981), 207–220  isi
2025
24. D. A. Vasil'ev, A. S. Tikhomirov, “Letter to the editors”, Mat. Sb., 216:10 (2025),  169–170  mathnet
2021
25. V. A. Alexeev, C. Birkar, F. A. Bogomolov, Yu. G. Zarhin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, A. S. Tikhomirov, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 70th birthday)”, Uspekhi Mat. Nauk, 76:3(459) (2021),  189–192  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:3 (2021), 553–556  isi
2013
26. F. A. Bogomolov, F. Сatanese, Yu. I. Manin, S. Yu. Nemirovski, V. V. Nikulin, A. N. Parshin, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Teicher, A. S. Tikhomirov, V. M. Kharlamov, I. A. Cheltsov, I. R. Shafarevich, V. V. Shokurov, “Viktor Stepanovich Kulikov (on his 60th birthday)”, Uspekhi Mat. Nauk, 68:2(410) (2013),  205–207  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:2 (2013), 395–397  isi
2003
27. F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich, “Andrei Nikolaevich Tyurin (obituary)”, Uspekhi Mat. Nauk, 58:3(351) (2003),  176–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:3 (2003), 597–605  isi
1990
28. A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 45:5(275) (1990),  213  mathnet
1988
29. A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 43:4(262) (1988),  252  mathnet
1985
30. A. S. Tikhomirov, “Letter to the Editors of the journal “Izvestiya AN SSSR. Seriya matematicheskaya””, Izv. Akad. Nauk SSSR Ser. Mat., 49:4 (1985),  891  mathnet  mathscinet  zmath; Math. USSR-Izv., 27:1 (1986), 201 3

Presentations in Math-Net.Ru
1. The moduli space of rank 2 sheaves of odd determinant on the projective space
A. S. Tikhomirov
Algebra and geometry: conference on the occasion of V.S. Kulikov 70th birthday
May 23, 2022 15:30   
2. Бесконечная серия рациональных компонент пространства модулей стабильных векторных расслоений ранга 2 на проективном пространстве
A. S. Tikhomirov
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 26, 2016 12:00   
3. New divisors in the boundary of the instanton moduli space
A. S. Tikhomirov
Shafarevich Seminar
January 27, 2015 17:00
4. Geometry of moduli spaces of mathematical and symplectic instntons
A. S. Tikhomirov
Iskovskikh Seminar
November 20, 2014 19:00

Organisations