Shamgar Gurevich

In the Fall semester 2006 I joined the Mathematics Department of the University of California Berkeley as a Morrey Assistant Professor. My hosts are Marc Rieffel and Alan Weinstein . I did my Ph.D. at the School of Mathematical Sciences of Tel-Aviv University under the direction of Joseph Bernstein .

Email

shamgar@math.berkeley.edu

Research

Applications of Representation Theory and Algebraic Geometry to some problems in Quantum Mechanics and Harmonic Analysis.

Papers

  • Gurevich S. and Hadani R., "On Hannay-Berry Equivariant Quantization of the Torus" (Dec. 2001). Submitted.
  • Gurevich S. and Hadani R., "The Multidimensional Hannay-Berry Model " (Aug. 2002). Appears in my Ph.D.
  • Gurevich S. and Hadani R., "Proof of the Kurlberg-Rudnick Rate Conjecture" (Jan. 2004). Submitted.
  • Gurevich S. and Hadani R., "Hecke Quantum Unique Ergodicity On Higher Dimensional Tori " (Sep. 2004) Preprint.
  • Gurevich S., "Weil Representation, Deligne's Sheaf and Proof of the Kurlberg-Rudnick Conjecture" (Including the first constructions of "Hecke Eigenscars"). Ph.D. Thesis (Submitted: March 2005).
  • Gurevich S. and Hadani R., " Proof of The Kurlberg-Rudnick Rate Conjecture". Comptes Rendus Mathematique, Volume 342, Issue 1, 1 January 2006, Pages 69-72 (Presented by Michele Vergne).
  • Gurevich S. and Hadani R., "Heisenberg Realizations, Eigenfunctions and Proof of the Kurlberg-Rudnick Supremum Conjecture". (Sep. 2005) Preprint.
  • Gurevich S. and Hadani R., "Self-reducibility of the Weil representation and higher-dimensional quantum chaos". (Sep. 2005).
  • Gurevich S. and Hadani R., "The Geometric Weil Representation" . Selecta Mathematica (Accepted: Dec. 2006).
  • Gurevich S. and Hadani R., "Canonical quantization of symplectic vector spaces over finite fields". (June. 2007).

    Some Talks

  • Ronny Hadani presented part of our joint work in the Geometric Langlands Seminar, October 2006, Chicago, USA.
  • A talk in the Symplectic Geometry Seminar, February 2007, Berkeley, USA.
  • A talk in the Subfactor Seminar, September 2007, Berkeley, USA.

    Conferences

    AGAQ, June, 2006, Istanbul, Turkey.
  • Notes from the lecture at the AGAQ on the solution to Kazhdan's problem on canonical quantization.
  • Notes from the lecture at the AGAQ on self-reducibility of the Weil representation and quantum chaos. LieGeo07, November, 2007, Cordoba, Argentina.
  • Slides from the lecture at LieGeo07 on the canonical model for the Weil representation .

    Teaching

  • Fall 2006: Math 121A
  • Spring 2007: Math 121A
  • Spring 2007: Math 113
  • Fall 2007: Math 104
  • Spring 2008: Math 121A
  • Spring 2008: Math 113

    Office: Room 867 Evans Hall.

    Telephone: 1-510-6437543.

    Address: Department of Mathematics, University of California, 970 Evans Hall #3840, Berkeley, CA 94720-3840, USA.