Vera Serganova

Summary

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
Serganova in 2011
Born1961[1]
NationalityRussian-American
Known forCoxeter matroids
Academic background
EducationMoscow State University
Alma materSaint Petersburg State University
Doctoral advisorDimitry Leites and
Arkady Lvovich Onishchik
Academic work
DisciplineMathematics
Sub-disciplineSuperalgebra
InstitutionsUniversity 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

  1. ^ a b "Book of Members 1780–present, Chapter S." (PDF).
  2. ^ Faculty profile: Vera Serganova, University of California, Berkeley, Mathematics Department, retrieved October 1, 2015.
  3. ^ Vera Serganova at the Mathematics Genealogy Project
  4. ^ Serganova, Vera (1998). "Characters of irreducible representations of simple Lie superalgebras". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 583–593.
  5. ^ ICM Plenary and Invited Speakers since 1897, International Mathematical Union, retrieved October 1, 2015.
  6. ^ 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.
  7. ^ 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 Californai, Berkeley on April 29th, 2022{{cite web}}: CS1 maint: postscript (link)
  • "Vera Serganova. Representation theories of finite groups in positive charact. 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)