01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
24.12.1962
E-mail:
Keywords:
cycles and subschemes,
moduli spaces,
birational geometry,
algebraic vwctor bundles.
Subject:
Exceptional bundles (i.e., bundles with zero dimension moduli space) on Del Pezzo surfaces was described completely. A combinatorial structure of exceptional bundles on K3-surfaces was found. Sufficient conditions of existence of stable bundles on K3-surfaces was be formulated and proved. Using exceptional bundles as a base of derived category of coherent sheaves on Del Pezzo surfaces, it was be obtained some useful geometrical description of stable sheaves moduli spaces on the projective plane and two dimensional quadric.
Biography
Education: 1980–1985 student of Department of Mechanics and Mathematics of Moscow State University; 1985–1988 graduate student in Algebra Section of Math. Dept. of Moscow State University (Research adviser: A. N. Rudakov). Ph.D. in march 1989. Ph.D. thesises: "Exceptional bundles on K3-surfaces". Dissertation of doctor nauk title: "Exceptional and Rigid Sheaves on Surfaces with anticanonical class without base components." Doctor nauk in October 1996. Experience: 1988–1990 assistant professor in Baumann Moscow Highest Technical College. 1990–1991 scientific member in Moscow Institute of New Technology. 1992–September 1997 assistant professor in Forth Air Engineer Zhukovski Academy. Since October 1997 professor in Forth Air Technical University. From time to time I have some lectures in Independent University of Moscow.
Main publications:
Exceptional and rigid sheaves on surfaces with anticanonical class without base components. Algebraic geometry, 2. J. Math. Sci. (New York) 86 (1997), no. 5, 2951–3003.
Ramified coverings of $S^2$ with two degenerate branching points. Max-Planck-Institut preprint 2001 (62).
S. A. Kuleshov, “Isometries of semi-orthogonal forms on a $\mathbb Z$-module of rank 3”, Izv. RAN. Ser. Mat., 77:1 (2013), 49–90; Izv. Math., 77:1 (2013), 44–86
2004
2.
A. L. Gorodentsev, S. A. Kuleshov, A. N. Rudakov, “t-stabilities and t-structures on triangulated categories”, Izv. RAN. Ser. Mat., 68:4 (2004), 117–150; Izv. Math., 68:4 (2004), 749–781
S. A. Kuleshov, D. O. Orlov, “Exceptional sheaves on del Pezzo surfaces”, Izv. RAN. Ser. Mat., 58:3 (1994), 53–87; Russian Acad. Sci. Izv. Math., 44:3 (1995), 479–513
S. A. Kuleshov, “An existence theorem for exceptional bundles on $\mathrm K3$ surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989), 363–378; Math. USSR-Izv., 34:2 (1990), 373–388
S. A. Kuleshov, “Algebraic generators of the group of automorphisms of a polynomial ring over a finitely generated algebra”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6, 62–64
2010
9.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Лекции по аналитической геометрии”, Math. Ed., 2010, no. 3-4(55-56), 51–63
10.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Lectures on Analytic Geometry (continued)”, Math. Ed., 2010, no. 1(53), 36–77
2009
11.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Lectures on Analytic Geometry (continued).”, Math. Ed., 2009, no. 4(52), 36–68
12.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Lectures on Analytic Geometry (continued)”, Math. Ed., 2009, no. 3(51), 46–81
13.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Lectures on Analytic Geometry(continued)”, Math. Ed., 2009, no. 2(50), 55–69
14.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Lectures on Analytic Geometry (continued)”, Math. Ed., 2009, no. 1(49), 43–89
2008
15.
S. A. Kuleshov, A. Salimova, S. L. Stavtsev, “Lectures on Analytic Geometry”, Math. Ed., 2008, no. 4(48), 34–49
16.
S. A. Kuleshov, “An Obvious Explanation of the Limit Notion”, Math. Ed., 2008, no. 2(46), 16–28
2002
17.
S. A. Kuleshov, “Limit of a Sequence”, Math. Ed., 2002, no. 4(23), 45–75
18.
S. A. Kuleshov, “Comparison of Sets”, Math. Ed., 2002, no. 3(22), 58–74
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