Gregory Berkolaiko

Associate Professor

Address

Depatment of Mathematics,
Texas A&M University,
College Station, TX 77843-3368, USA
Email: berko AT math.tamu.edu

Education

• Ph.D. in Mathematics, University of Bristol, UK, 2001
• M.Phil. in Mathematics, University of Strathclyde, UK, 1997
• B.Sc. in Mathematics, Voronezh State University, Russia, 1996

In the Profession

• 2008-present, Associate Professor, Mathematics, Texas A&M
• 2004-2008, Assistant Professor, Mathematics, Texas A&M
• 2002-2004, Lecturer in Mathematics, University of Strathclyde, UK
• 2000-2001, Postdoctoral Fellow, Weizmann Institute of Science, Israel

Research or Scholarly Interests

Spectral problems in mathematical physics. In particular, graph models, their use in physics in general and in the theory of quantum chaos in particular. Combinatorial problems arising in mathematical physics.

Recent Grants

• NSF Grant DMS-0907968, "Graphs in spectral analysis of complex systems", PI, 09/2009-09/2012.
• NSF Grant DMS-0604859, "Spectral Properties of Quantum Graphs and Related Systems", PI, 06/2006-07/2009.

Five Selected Publications or Scholarly Works

• J.A.D. Appleby, G. Berkolaiko, A. Rodkina, "Non-exponential stability and decay rates in nonlinear stochastic difference equation with unbounded noise", Stochastics and Stochastics Reports, 2009
• G. Berkolaiko, J.M. Harrison, M. Novaes, "Full counting statistics of chaotic cavities from classical action correlations", J. Phys. A: Math. Theor., 2008; Chosen for IOP Select.
• G. Berkolaiko, "A lower bound for nodal count on discrete and metric graphs", Commun. Math. Phys., 2007.
• G. Berkolaiko, J.P. Keating, U. Smilansky, "Quantum ergodicity for graphs related to interval maps", 2007.
• G. Berkolaiko, M. Grinfeld, "Multiplicity of periodic solutions in bistable equations", Proc. Roy. Soc. A, 2006.

Complete list of publications.

Recent Synergistic Activities

• Mentor for pre-REU Program, 2009, 2010
• Presentations for middle and high school students at Math Fair, Texas A\&M University, 2007 and 2004; Duke TIP program, 2006
• Utilizing mathematical expertize to develop open-source software: maintainer for the AI and path-finding modules in Freeciv project, 2001-2004