Education

06.2010 — D.Sc. in Mathematics and Physics («Mathematical Logic, Algebra and Number Theory»)
Institution: St. Petersburg State University
Thesis title: Hurwitz and (2,3)-Generated Matrix Groups

04.1998 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Logic, Algebra and Number Theory»)
Institution: St. Petersburg State University
Thesis title: Methods of Constructing Diophantine Representations
Advisor: Y.V. Matiyasevich

06.1994 — Specialist Degree in Mathematics
Institution: St. Petersburg State University

Scientific interests

Group theory; number theory; Diophantine equations; combinatorics.

Selected publications

1. М. Vsemirnov. On the primitive divisors of the recurrent sequence $u_{n+1} = (4cos^2 (2\pi/7) − 1)u_n − u_{n−1}$ with applications to group theory. Science China Mathematics 61:11, 2101–2110, 2018.
2. M.A. Vsemirnov. On R. Chapman's "evil determinant": case p=1 (mod 4). Acta Arithmetica, 159:4, 331–344, 2013.
3. M.A. Vsemirnov. More classical groups, which are not (2,3)-generated. Archiv der Mathematik 96:2, 123–129, 2011.
4. M.A. Vsemirnov. On (2,3)-generation of matrix groups over the ring of integers. St. Petersburg Mathematical Journal 19:6, 883–910, 2008.
5. M.C. Tamburini and M. Vsemirnov. Hurwitz groups and Hurwitz generation. In Handbook of Algebra, Vol. 4, 385–426, 2006.

Additional Information

Students who are interested in working under my supervision are invited to contact me in order to discuss possible directions of future research, recommended books and papers, etc.