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Vsemirnov, Maxim Aleksandrovich

Statistics Math-Net.Ru
Total publications: 17
Scientific articles: 13
Presentations: 6

Number of views:
This page:4570
Abstract pages:8714
Full texts:4591
References:460
Corresponding member of RAS
Associate professor
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 8.10.1972
E-mail:
Website: https://logic.pdmi.ras.ru/~vsemir
Keywords: Diophantine equations, algorithms in number theory, combinatorial group theory, combinatorics.

Subject:

It was proved that there exists an infinite set of primes which coincides with the set of positive values of a polynomial in 8 integer-valued variables. Simple Diophantine representations of recurrent sequences of order 3 and 4 wee found. It was found for which $k$'s the triangle group $T(2,3,k)$ coincides with the projective image of the special unitary group $SU(2,R)$ over some ring $R$ of algebraic integers.

Biography

Graduated from St.Petersburg State University (department of higher algebra and number theory) in 1994. Completed post-graduate studies in Steklov Institute of Mathematics at St. Petersburg in 1997. I am a member of St. Petersburg Mathematical Society (since 1998). Elected as a member of its Council in 2001.
A member of the Council of St. Petersburg Mathematical Socoety (elected in 2001).

   
Main publications:
  1. Vsemirnov M., “The Woods–Erdős conjecture for polynomial rings”, Annals of Pure and Applied Logic, 113:1-3 (2002), 331–344  crossref  mathscinet  zmath
  2. Vsemirnov M., Mysovskikh V., Tamburini M. C., “Triangle groups as subgroups of unitary groups”, J. Algebra, 245:2 (2001), 562–583  crossref  mathscinet  zmath
  3. Vsemirnov M. A., “Beskonechnye mnozhestva prostykh chisel, dopuskayuschie diofantovy predstavleniya s vosemyu peremennymi”, Zapiski nauchnykh seminarov POMI, 220, 1995, 36–48  mathscinet  zmath
  4. Vsemirnov M. A., “Diofantovy predstavleniya lineinykh rekurrentnykh posledovatelnostei, I”, Zapiski nauchnykh seminarov POMI, 227, 1995, 52–60  mathscinet  zmath
  5. Vsemirnov M. A., “Diofantovy predstavleniya lineinykh rekurrentnykh posledovatelnostei, II”, Zapiski nauchnykh seminarov POMI, 241, 1997, 5–29  mathnet  mathscinet  zmath

https://www.mathnet.ru/eng/person11041
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/358152

Publications in Math-Net.Ru Citations
2024
1. M. A. Vsemirnov, R. I. Gvozdev, Ya. N. Nuzhin, T. B. Shaipova, “On the Generation of the Groups $\mathrm{SL}_n(\mathbb{Z}+i\mathbb{Z})$ and $\mathrm{PSL}_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions Two of Which Commute. II”, Mat. Zametki, 115:3 (2024),  317–329  mathnet  mathscinet; Math. Notes, 115:3 (2024), 289–300  scopus 1
2023
2. M. A. Vsemirnov, Ya. N. Nuzhin, “Generating triples of conjugate involutions for finite simple groups”, Algebra Logika, 62:5 (2023),  569–592  mathnet
2020
3. M. A. Vsemirnov, “On $(2,3)$-generation of matrix groups over the ring of integers, II”, Algebra i Analiz, 32:5 (2020),  62–85  mathnet; St. Petersburg Math. J., 32:5 (2021), 865–884
2007
4. M. A. Vsemirnov, “On (2,3)-generation of matrix groups over the ring of integers”, Algebra i Analiz, 19:6 (2007),  22–58  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:6 (2008), 883–910  isi 10
2006
5. M. A. Vsemirnov, “Is the group $\mathrm{SL}(6,\mathbb{Z})$ $(2,3)$-generated?”, Zap. Nauchn. Sem. POMI, 330 (2006),  101–130  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 660–675  scopus 11
2002
6. M. A. Vsemirnov, M. G. Rzhevskii, “An upper bound for the contact number in dimension 9”, Uspekhi Mat. Nauk, 57:5(347) (2002),  149–150  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:5 (2002), 1015–1016  isi  scopus 6
2001
7. M. A. Vsemirnov, “Two elementary proofs of the Fueter–Pólya theorem on pairing polynomials”, Algebra i Analiz, 13:5 (2001),  1–15  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:5 (2002), 705–715 4
8. M. A. Vsemirnov, E. A. Hirsch, E. Ya. Dantsin, S. V. Ivanov, “Algorithms for SAT and upper bounds on their complexity”, Zap. Nauchn. Sem. POMI, 277 (2001),  14–46  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:2 (2003), 4948–4962 12
1997
9. M. A. Vsemirnov, “Diophantine representations of linear recurrent sequences. II”, Zap. Nauchn. Sem. POMI, 241 (1997),  5–29  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 98:4 (2000), 427–441 1
10. M. A. Vsemirnov, “Macdonald identities and multidimensional theta-functions”, Zap. Nauchn. Sem. POMI, 240 (1997),  67–77  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 96:5 (1999), 3486–3492
1995
11. M. A. Vsemirnov, “Diophantine representations of linear recurrences. I”, Zap. Nauchn. Sem. POMI, 227 (1995),  52–60  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:2 (1998), 1113–1118 2
12. M. A. Vsemirnov, “Infinite sets of primes, admitting Diophantine representations in eight variables”, Zap. Nauchn. Sem. POMI, 220 (1995),  36–48  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:1 (1997), 3200–3208 2
1994
13. M. A. Vsemirnov, “On a class of primality criteria”, Mat. Zametki, 56:1 (1994),  146–148  mathnet  mathscinet  zmath; Math. Notes, 56:1 (1994), 754–755  isi

2024
14. N. N. Andreev, M. A. Vsemirnov, S. O. Gorchinskiy, D. N. Zaporozhets, S. V. Kislyakov, V. V. Kozlov, M. A. Korolev, D. O. Orlov, Yu. S. Osipov, D. V. Treschev, P. A. Yaskov, “Steklov Institute – 90!”, Uspekhi Mat. Nauk, 79:3(477) (2024),  189–193  mathnet  mathscinet; Russian Math. Surveys, 79:3 (2024), 557–562  isi
2015
15. D. G. Benua, M. V. Bondarko, N. A. Vavilov, M. A. Vsemirnov, A. I. Generalov, N. L. Gordeev, I. B. Zhukov, G. A. Leonov, B. B. Lur'e, I. A. Panin, A. L. Smirnov, I. B. Fesenko, A. V. Yakovlev, “To the anniversary of Sergei Vladimirovich Vostokov”, Algebra i Analiz, 27:6 (2015),  3–5  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 861–862  isi  scopus
2013
16. M. A. Vsemirnov, È. A. Hirsch, D. Yu. Grigor'ev, G. V. Davydov, E. Ya. Dantsin, I. D. Zaslavskii, È. F. Karavaev, B. Yu. Konev, N. K. Kossovskii, V. A. Lifschitz, M. Margenstern, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, R. Pliuškevičius, A. O. Slisenko, S. V. Solov'ev, V. P. Chernov, “Nikolai Aleksandrovich Shanin (obituary)”, Uspekhi Mat. Nauk, 68:4(412) (2013),  173–176  mathnet  mathscinet  elib; Russian Math. Surveys, 68:4 (2013), 763–767  isi  elib  scopus
2001
17. M. A. Vsemirnov, E. A. Hirsch, D. Yu. Grigor'ev, G. V. Davydov, E. Ya. Dantsin, A. A. Ivanov, B. Yu. Konev, V. A. Lifshits, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, A. O. Slisenko, “Nikolai Aleksandrovich Shanin (on his 80th birthday)”, Uspekhi Mat. Nauk, 56:3(339) (2001),  181–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:3 (2001), 601–605  isi 1

Presentations in Math-Net.Ru
1. Гурвицевы группы
M. A. Vsemirnov

September 20, 2023 12:30
2. A survey on the (2,3)-generation problem and related topics
M. A. Vsemirnov
International Conference "Advances in Algebra and Applications"
June 26, 2022 14:30   
3. Аналоги многочленов Кантора для секторов
M. A. Vsemirnov
Traditional winter session MIAN–POMI devoted to the topic "Mathematical logic"
December 25, 2018 11:30   
4. Гурвицевы группы и гурвицевы образующие
M. A. Vsemirnov
Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences
June 15, 2016 11:20   
5. Diophantine coding and generalized Cantor polynomials
M. A. Vsemirnov
Traditional Christmas session MIAN-POMI, 2009 "Logic and Theoretical Computer Science"
December 17, 2009 11:45   
6. Hurwitz and (2,3)-generated matrix groups
M. A. Vsemirnov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
February 12, 2007

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