Vera Serganova
Vera Vladimirovna Serganova (Russian: Вера Владимировна Серганова) is a professor of mathematics at the University of California, Berkeley whose research concerns superalgebras and their representations.[1]
Serganova graduated from Moscow State University. She defended her Ph.D. in 1988 at Saint Petersburg State University under the joint supervision of Dimitry Leites and Arkady L'vovich Onishchik.[2] She was an invited speaker at the International Congress of Mathematicians in 1998[3] and a plenary speaker at the ICM in 2014.[4]
The Gelfand–Serganova theorem gives a geometric characterization of Coxeter matroids; it was published by Serganova and Israel Gelfand in 1987 as part of their research originating the concept of a Coxeter matroid.[5][6]
References
- ^ Faculty profile: Vera Serganova, University of California, Berkeley, Mathematics Department, retrieved 2015-10-01.
- ^ Vera Serganova at the Mathematics Genealogy Project
- ^ Serganova, Vera (1998). "Characters of irreducible representations of simple Lie superalgebras". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 583–593.
- ^ ICM Plenary and Invited Speakers since 1897, International Mathematical Union, retrieved 2015-10-01.
- ^ Borovik, Alexandre V.; Gelfand, I. M.; White, Neil (2003), "6.3 The Gelfand–Serganova Theorem", Coxeter Matroids, Progress in Mathematics, vol. 216, Birkhäuser, p. 157, doi:10.1007/978-1-4612-2066-4, ISBN 978-1-4612-7400-1.
- ^ Borovik, A. V. (2003), "Matroids and Coxeter groups", Surveys in combinatorics, 2003 (Bangor), London Math. Soc. Lecture Note Ser., vol. 307, Cambridge Univ. Press, Cambridge, pp. 79–114, doi:10.1007/978-1-4612-2066-4, MR 2011735. See in particular Section 3.1, "The Gelfand–Serganova Theorem", p. 97.