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Russian-American mathematician From Wikipedia, the free encyclopedia
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.
Viktor Ginzburg | |
---|---|
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 |
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.
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]
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]
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