Berkolaiko, Gregory
individual record
Professor
Positions:
- Professor, Mathematics, College of Science
overview
My research interests focuses on spectral problems in mathematical physics. In particular, graph models, their use in physics in general and in the theory of quantum chaos in particular. I also have interest in combinatorial problems arising in mathematical physics.
education and training
- Ph.D. in Mathematics, University of Bristol - (Bristol, United Kingdom) 2001
- M.Phil. in Mathematics, University of Strathclyde - (Glasgow, United Kingdom) 1997
- B.Sc. in Mathematics, Voronezh State University - (Voronezh, Russia) 1996
selected publications
Academic Articles42
- Pelinovsky, D. E., Berkolaiko, G., & Marzuola, J. L. (2021). Edge-localized states on quantum graphs in the limit of large mass. Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38(5), 1295-1335.
- Berkolaiko, G., & Booton, L. (2021). Convergence of moments of twisted COE matrices. Journal of Mathematical Physics. 62(6), 063502-063502.
- Berkolaiko, G., & Parulekar, A. (2021). Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices. SIAM Journal on Matrix Analysis and Applications. 42(1), 224-242.
- Berkolaiko, G., & Kha, M. (2020). Degenerate band edges in periodic quantum graphs. Letters in Mathematical Physics. 110(11), 2965-2982.
Books2
- Berkolaiko, G., & Kuchment, P. (2012). Introduction to Quantum Graphs. American Mathematical Society.
Conference Papers5
- Engl, T., Kuipers, J., Berkolaiko, G., Petitjean, C., Waltner, D., & Richter, K. (2010). Semiclassics of Andreev billiards. Mesoscopic Physics in Complex Media, Mesoscopic Physics in Complex Media. 03009.
- Appleby, J., Berkolaiko, G., & Rodkina, A. (2010). Non-Exponential Stability and Decay Rates in Nonlinear Stochastic Homogeneous Difference Equations. Discrete Dynamics and Difference Equations, Proceedings of the Twelfth International Conference on Difference Equations and Applications. 155-162.
- Berkolaiko, G. (2008). Two constructions of quantum graphs and two types of spectral statistics. ANALYSIS ON GRAPHS AND ITS APPLICATIONS. 77, 315-329.
- APPLEBY, J., BERKOLAIKO, G., & RODKINA, A. (2007). ON THE ASYMPTOTIC BEHAVIOR OF THE MOMENTS OF SOLUTIONS OF STOCHASTIC DIFFERENCE EQUATIONS. Difference Equations, Special Functions and Orthogonal Polynomials, Proceedings of the International Conference. 557-565.
- Rabinovich, S., Berkolaiko, G., Buldyrev, S., Shehter, A., & Havlin, S. (1997). Analytical Solution of the Logistic Equation. International Journal of Bifurcation and Chaos. 07(04), 837-838.
Reports1
- Berkolaiko, G. (1998). Dynamics of piecewise linear interval maps with hysteresis. (HPL-BRIMS-98), 1-18.
editor of
researcher on
Principal Investigator4
recent teaching activities
- MATH308 Differential Equations Instructor
- MATH411 Math Probability Instructor
- MATH412 Theory Of Pdes Instructor
- MATH425 Math Of Contingent Claim Instructor
- MATH485 Directed Studies Instructor
chaired theses and dissertations
- Liu, Wen (2016-08). Degeneracies in the Eigenvalue Spectrum of Quantum Graphs. (Doctoral Dissertation)
- Weyand, Tracy Kathleen (2014-08). Zeros of Eigenfunctions of the Schrodinger Operator on Graphs and Their Relation to the Spectrum of the Magnetic Schrodinger Operator. (Doctoral Dissertation)
Email
gberkolaiko@tamu.edu
First Name
Gregory
Last Name
Berkolaiko
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA