Viktor Ginzburg
Viktor Ginzburg | |
---|---|
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
Education
Ginzburg completed his
Research
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
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
- MR 2680488
- ^ Ginzburg, Viktor L.; Gürel, Başak Z. (2003), "A -smooth counterexample to the Hamiltonian Seifert conjecture in ", S2CID 7474467
- 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