Vera Vladimirovna Serganova (Russian: Вера Владимировна Серганова) is a professor of mathematics at the University of California, Berkeley who researches superalgebras and their representations.[2]
Vera Vladimirovna Serganova | |
---|---|
Вера Владимировна Серганова | |
Born | 1961[1] |
Nationality | Russian-American |
Known for | Coxeter matroids |
Academic background | |
Education | Moscow State University |
Alma mater | Saint Petersburg State University |
Doctoral advisor | Dimitry Leites and Arkady Lvovich Onishchik |
Academic work | |
Discipline | Mathematics |
Sub-discipline | Superalgebra |
Institutions | University of California, Berkeley |
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 Onishchik.[3] She was an invited speaker at the International Congress of Mathematicians in 1998[4] and a plenary speaker at the ICM in 2014.[5] In 2017, she was elected a member of the American Academy of Arts and Sciences.[1]
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.[6][7]
References
edit- ^ a b "Book of Members 1780–present, Chapter S." (PDF).
- ^ Faculty profile: Vera Serganova, University of California, Berkeley, Mathematics Department, retrieved October 1, 2015.
- ^ 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 October 1, 2015.
- ^ 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, ISBN 978-1-4612-7400-1, MR 2011735. See in particular Section 3.1, "The Gelfand–Serganova Theorem", p. 97.
External links
edit- "Vera Serganova, Lecture I - 20 January 2015". YouTube. SNS Sciences. February 6, 2015. (Lie theory and representation theory)
- "Vera Serganova: Capelli eigenvalue problem for Lie superalgebras and supersymmetric polynomials". YouTube. Centre International de Recontres Mathématiques. June 29, 2018.
- "Generalized Kac-Moody Superalgebras and Root Groupoid". YouTube. Fields Institute. May 3, 2022; The Pursuit of Symmetry: A Conference in Honour of the 80th Birthday of Robert V. Moody; Speaker: Vera Serganova, University of California, Berkeley on April 29th, 2022
{{cite web}}
: CS1 maint: postscript (link) - "Vera Serganova. Similarities between representation theories of finite groups in positive characteristic and Lie superalgebras". YouTube. Мех-Мат КНУ. July 5, 2023; Invited Talk by Professor Vera Serganova (University of California, Berkeley, USA) at the XIV Ukrainian Algebraic Conference (July 3–7, 2023, Sumy, Ukraine)
{{cite web}}
: CS1 maint: postscript (link)