Algebraic geometry, combinatorics, modules over associative rings.
Main publications:
Verevkin A.B., “On a Noncommutative Analogue of the Category of Coherent Sheaves on a Projective Scheme”, American Mathematical Society Translations (2), 151 (1992), 41–53
A. B. Verevkin, S. P. Mishchenko, “On varieties with identities of one generated free metabelian algebra”, Chebyshevskii Sb., 17:2 (2016), 21–55
2012
2.
A. B. Verevkin, “On a Matrix Nilpotent Filter”, Mat. Zametki, 92:2 (2012), 192–201; Math. Notes, 92:2 (2012), 176–185
2011
3.
A. B. Verevkin, M. V. Zaicev, S. P. Mishchenko, “A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, 2, 36–39; Moscow University Mathematics Bulletin, 66:2 (2011), 86–89
2004
4.
A. B. Verevkin, Yu. G. Prokhorov, “The Riemann–Roch theorem on surfaces with log terminal singularities”, Fundam. Prikl. Mat., 10:4 (2004), 35–42; J. Math. Sci., 140:2 (2007), 200–205
1996
5.
A. B. Verevkin, “A condition for graded freeness”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 9, 14–15; Russian Math. (Iz. VUZ), 1996, no. 9, 12–13
1993
6.
A. B. Verevkin, “Exact embedding of the Serre category into the category of modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 11, 3–5; Russian Math. (Iz. VUZ), 37:11 (1993), 1–3
1992
7.
A. B. Verevkin, “Serré injective sheaves”, Mat. Zametki, 52:4 (1992), 35–41; Math. Notes, 52:4 (1992), 1016–1020
8.
A. B. Verevkin, “Cohomologies with “non-commutative supports””, Uspekhi Mat. Nauk, 47:2(284) (1992), 189–190; Russian Math. Surveys, 47:2 (1992), 234–235
1990
9.
A. B. Verevkin, “Serre cohomology and localization with respect to ore sets”, Funktsional. Anal. i Prilozhen., 24:1 (1990), 67–68; Funct. Anal. Appl., 24:1 (1990), 57–58
1989
10.
A. B. Verevkin, “Serre cohomology of non-commutative rings and Morita equivalence”, Uspekhi Mat. Nauk, 44:5(269) (1989), 157–158; Russian Math. Surveys, 44:5 (1989), 222–223
1988
11.
A. B. Verevkin, “The dimensions of the superspaces $H^p(\mathbf{P}^{n|m},\Omega_{\mathrm{ev}}^i(j))$”, Uspekhi Mat. Nauk, 43:3(261) (1988), 173–174; Russian Math. Surveys, 43:3 (1988), 229–230
1994
12.
A. B. Verevkin, “Letter to the Editor”, Uspekhi Mat. Nauk, 49:1(295) (1994), 234