Viktor Ginzburg

Viktor Ginzburg
Viktor Ginzburg
	Viktor Ginzburg at Oberwolfach in 2008
Born	1962
Nationality	American
Alma mater	University of California, Berkeley
Known for	Proof of the Conley conjecture; Counter-example to the Hamiltonian Seifert conjecture
	Scientific career
Fields	Mathematics
Institutions	University of California, Santa Cruz
Doctoral advisor	Alan Weinstein

Viktor L. Ginzburg is a Russian-American mathematician who has worked on Hamiltonian dynamics and symplectic and Poisson geometry. As of 2017, Ginzburg is Professor of Mathematics at the University of California, Santa Cruz.

Education[edit]

Ginzburg completed his Ph.D. at the University of California, Berkeley in 1990; his dissertation, On closed characteristics of 2-forms, was written under the supervision of Alan Weinstein.

Research[edit]

Ginzburg is best known for his work on the Conley conjecture,^[1] which asserts the existence of infinitely many periodic points for Hamiltonian diffeomorphisms in many cases, and for his counterexample (joint with Başak Gürel) to the Hamiltonian Seifert conjecture^[2] which constructs a Hamiltonian with an energy level with no periodic trajectories.

Some of his other works concern coisotropic intersection theory,^[3] and Poisson–Lie groups.^[4]

Awards[edit]

Ginzburg was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to Hamiltonian dynamical systems and symplectic topology and in particular studies into the existence and non-existence of periodic orbits".^[5]

References[edit]

^ Ginzburg, Viktor L. (2010), "The Conley conjecture", Annals of Mathematics, 2, 172 (2): 1127–1180, arXiv:math/0610956, doi:10.4007/annals.2010.172.1129, MR 2680488
^ Ginzburg, Viktor L.; Gürel, Başak Z. (2003), "A $C^{2}$ -smooth counterexample to the Hamiltonian Seifert conjecture in $\mathbb {R} ^{4}$ ", Annals of Mathematics, 2, 158 (3): 953–976, arXiv:math.DG/0110047, doi:10.4007/annals.2003.158.953, MR 2031857, S2CID 7474467
^ Ginzburg, Viktor L. (2007), "Coisotropic intersections", Duke Mathematical Journal, 140 (1): 111–163, arXiv:math/0605186, doi:10.1215/S0012-7094-07-14014-6, MR 2355069, S2CID 18496888
^ V. Ginzburg and A. Weinstein, Lie-Poisson structure on some Poisson Lie groups, J. Amer. Math. Soc. (2) 5, 445-453, 1992.
^ 2020 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2019-11-03

External links[edit]

Viktor Ginzburg at the Mathematics Genealogy Project

[1] Ginzburg, Viktor L. (2010), "The Conley conjecture", Annals of Mathematics, 2, 172 (2): 1127–1180, arXiv:math/0610956, doi:10.4007/annals.2010.172.1129, MR 2680488

[2] Ginzburg, Viktor L.; Gürel, Başak Z. (2003), "A $C^{2}$ -smooth counterexample to the Hamiltonian Seifert conjecture in $\mathbb {R} ^{4}$ ", Annals of Mathematics, 2, 158 (3): 953–976, arXiv:math.DG/0110047, doi:10.4007/annals.2003.158.953, MR 2031857, S2CID 7474467

[3] Ginzburg, Viktor L. (2007), "Coisotropic intersections", Duke Mathematical Journal, 140 (1): 111–163, arXiv:math/0605186, doi:10.1215/S0012-7094-07-14014-6, MR 2355069, S2CID 18496888

[4] V. Ginzburg and A. Weinstein, Lie-Poisson structure on some Poisson Lie groups, J. Amer. Math. Soc. (2) 5, 445-453, 1992.

[5] 2020 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2019-11-03

[1]

[2]

[3]

[4]

[5]

Authority control databases
International	ISNI VIAF
National	Germany Israel
Academics	MathSciNet Mathematics Genealogy Project zbMATH
Other	IdRef