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 Articles74
- Berkolaiko, G., Duffield, N., Ettehad, M., & Manousakis, K. (2019). Graph reconstruction from path correlation data. INVERSE PROBLEMS. 35(1), 015001-015001.
- Berkolaiko, G., & Liu, W. (2018). Eigenspaces of symmetric graphs are not typically irreducible. LETTERS IN MATHEMATICAL PHYSICS. 1-11.
- Alon, L., Band, R., & Berkolaiko, G. (2018). Nodal Statistics on Quantum Graphs. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 1-40.
- Berkolaiko, G. (2017). An elementary introduction to quantum graphs. MATHEMATICAL STUDIES ON HUMAN DISEASE DYNAMICS: EMERGING PARADIGMS AND CHALLENGES. 700, 41-72.
- Berkolaiko, G., Kennedy, J. B., Kurasov, P., & Mugnolo, D. (2017). Edge connectivity and the spectral gap of combinatorial and quantum graphs. Journal of Physics A: Mathematical and Theoretical. 50(36), 365201-365201.
Books1
Conference Papers4
- Engl, T., Kuipers, J., Berkolaiko, G., Petitjean, C., Waltner, D., & Richter, K. (2010). Semiclassics of Andreev billiards.
- Berkolaiko, G. (2008). Two constructions of quantum graphs and two types of spectral statistics. SPECTRAL GEOMETRY. 77, 315-329.
- Appleby, J., Berkolaiko, G., & Rodkina, A. (2007). ON THE ASYMPTOTIC BEHAVIOR OF THE MOMENTS OF SOLUTIONS OF STOCHASTIC DIFFERENCE EQUATIONS. 557- .
- Rabinovich, S., Berkolaiko, G., Buldyrev, S., Shehter, A., & Havlin, S. (1997). Analytical solution of the logistic equation. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. 7(4), 837-838.
Reports1
editor of
teaching activities
- MATH308 Differential Equations Instructor
- MATH308 Hnr-differential Equations Instructor
- MATH411 Math Probability Instructor
- MATH412 Theory Of Pdes Instructor
- MATH425 Math Of Contingent Claim 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