Viktor Ginzburg

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Viktor Ginzburg
Oberwolfach in 2008
Born1962
NationalityAmerican
Alma materUniversity of California, Berkeley
Known forProof of the Conley conjecture
Counter-example to the Hamiltonian Seifert conjecture
Scientific career
FieldsMathematics
InstitutionsUniversity of California, Santa Cruz
Doctoral advisorAlan Weinstein

Viktor L. Ginzburg is a Russian-American

Poisson geometry. As of 2017, Ginzburg is Professor of Mathematics at the University of California, Santa Cruz
.

Education

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

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

  1. ^ Ginzburg, Viktor L.; Gürel, Başak Z. (2003), "A -smooth counterexample to the Hamiltonian Seifert conjecture in ",
    S2CID 7474467
  2. ^ V. Ginzburg and A. Weinstein, Lie-Poisson structure on some Poisson Lie groups, J. Amer. Math. Soc. (2) 5, 445-453, 1992.
  3. ^ 2020 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2019-11-03

External links