Rachel Carson College Faculty Fellows
Sikina Jinnah is Rachel Carson College's new faculty chair!
The Chair of the Faculty is an Academic Senate member, other than the Provost, who is elected by the college Faculty to serve a two year term, and will serve as a member of the Executive Committee.
Dr. Jinnah is an Associate Professor in the Politics Department, an affiliated faculty member in the Environmental Studies Department, and a 2017 Andrew Carnegie Fellow. Her research focuses on the shifting locations of power and influence in global environmental governance, and in particular the role of transnational actors in environmental decision-making. Her most recent projects examine how key norms in global climate politics shape power relations, the role of U.S. preferential trade agreements in shaping environmental policy in trading partner nations, and the politics of climate engineering governance.
- Title
- Professor
- Division Physical & Biological Sciences Division
- Department
- Mathematics Department
- Phone 831-458-2218
- Fax 831-459-4511
- Website
- Office Location
- McHenry Library, McHenry Building Room #4124
- Mail Stop Mathematics Department
- Mailing Address
- 1156 High Street
- Santa Cruz CA 95064
Research Interests
Viktor Ginzburg has worked in various areas of symplectic geometry including Poisson geometry, geometry of Hamiltonian group actions, geometric quantization, and symplectic topology. His current research lies at the interface of symplectic topology and Hamiltonian dynamical systems and focuses on the existence problem for periodic orbits of Hamiltonian systems. Among his recent results are:
- Counterexamples to the Hamiltonian Seifert conjecture.
- Existence results for periodic orbits of a charge in a magnetic field.
- A work on symplectic topology of coisotropic submanifolds (coisotropic intersections and rigidity), providing a common framework for the Arnold conjecture and the Weinstein conjecture for hypersurfaces.
- The proof of Conley’s conjecture on the existence of periodic points of Hamiltonian diffeomorphisms for a wide class of symplectic manifolds.
Biography, Education and Training
M.S., Moscow Institute of Steel and Alloys
Ph.D., University of California, Berkeley
Selected Publications
- V. L. Ginzburg: The Conley conjecture. Ann. of Math. 172 (2010) 1127-1180
- V. L. Ginzburg and B. Z. Gurel: Action and index spectra and periodic orbits in Hamiltonian dynamics. Geom. Topol. 13 (2009) 2745-2805
- V. L. Ginzburg and B. Z. Gurel: Periodic orbits of twisted geodesic flows and the Weinstein-Moser theorem. Comment. Math. Helv. 84 (2009) 865-907
- V. L. Ginzburg: Coisotropic intersections. Duke Math. J. 140 (2007) 111-163
- V. L. Ginzburg and B. Z. Gurel: A C2-smooth counterexample to the Hamiltonian Seifert conjecture in R4. Ann. of Math. 158 (2003) 953-976
- V. L. Ginzburg, V. Guillemin and Y. Karshon: Cobordisms and Hamiltonian groups actions. Mathematical Surveys and Monographs, vol. 98, American Mathematical Society, 2002
- V. L. Ginzburg: The Hamiltonian Seifert conjecture, examples and open problems. Proceedings of the Third European Congress of Mathematics, Barcelona, 2000; Birkhauser, Progress in Mathematics, 202 (2001), vol. II, pp. 547-555
