Dr. Andrei Gabrielov - Department of Earth, Atmospheric, and Planetary Sciences - Purdue University

Dr. Andrei Gabrielov

Andrei Gabrielov

Professor
agabriel@math.purdue.edu
Curriculum Vitae / Google Scholar
Associated Website(s): 
http://www.math.purdue.edu/~agabriel


Education
Ph.D.- Moscow State University

Research Interests
Modeling of seismicity, earthquake prediction, nonlinear science, theoretical mathematics.

Teaching Interests
EAS 591G Introduction to Continuum Mechanics

Professional Experience

  • 1995-..Professor, Departments of Mathematics and Earth and Atmospheric Sciences, Purdue University.
  • 1990-94 - Senior Research Associate, International Institute of Earthquake Prediction and Mathematical Geophysics, Russian Academy of Sciences, Moscow.
  • 1973-89 - Senior Research Associate, Institute of Physics of the Earth, Academy of Sciences of the USSR, Moscow.

Selected Publications - Google Scholar Page for a complete list of publications

  • Basu, S., Gabrielov, A., Vorobjov, N. (2013) Monotone functions and maps. Revista Real Acad. Cienc. Exactas, Fisicas y Naturales. Ser. A. Matematicas (RACSAM) v.107 5-33.
  • Basu, S., Gabrielov, A., Vorobjov, N. (2013) Helly-type theorem for semi-monotone sets and monotone maps. Discrete and Comput Geometry, DOI 10.1007/s00454-013-9540-y.
  • Basu, S., Gabrielov, A., Vorobjov, N. (2013) Semi-monotone sets. J. European Math. Soc., v.15 p.635-657.
  • A. Eremenko, A. Gabrielov (2012) Two-parametric PT-symmetric quartic family. J. Phys. A: Math. Theor. v.45 175206.
  • Eremenko, A., Gabrielov, A., (2012) Quasi-exactly solvable quartic: real algebraic spectral locus. J. Phys. A: Math. Theor., v.45, 175205.
  • Eremenko, A., Gabrielov, A., (2012)  Irreducibility of some spectral determinants. J. Phys. A: Math.Theor.
  • Alexandersson, P., Gabrielov, A. (2012) On eigenvalues of the Schrodinger operator with a complexvalued polynomial potential. Comput. Methods and Function Theory v.12, p.119-144.
  • Eremenko, A., Gabrielov, A. (2011) Singular perturbations of polynomial potentials in the complexdomain with applications to PT-symmetric families. Moscow Math. J., v.11, p.473-503.
  • Eremenko, A., Gabrielov, A. (2011) Quasi-exactly solvable quartic: elementary integrals and asymptotics. J. Phys. A: Math. Theor. v.44, p.312001.
  • Azar, M., Gabrielov, A. (2011)Some lower bounds in the B. and M. Shapiro conjecture for flag varieties. Discr. Comput. Geom. v.46, p.636-659.
  • Eremenko, A., Gabrielov, A. (2011) Elementary proof of the B. and M. Shapiro conjecture for rational functions. In: Notions of positivity and the geometry of polynomials, p.167-178, Springer.
  • Eremenko, A., Gabrielov, A. (2010) Tangencies between holomorphic maps and holomorphic laminations. Proc. Amer. Math. Soc. v.138, p.2489-2492.
  • Keilis-Borok, V., Gabrielov, A. (2009) Soloviev, A., Geo-complexity and earthquake prediction. In:Encyclopedia of Complexity and Systems Science, Part 7, p.4178-4194, DOI: 10.1007/978-0-387-30440-3_246, Springer.
  • Gabrielov, A., Vorobjov, N. (2009) Approximation of definable sets by compact families, and upper bounds on homotopy and homology. Proc. London Math. Soc., v.0, p.45-54, doi: 10.1112/jlms/jdp006.
  • Eremenko, A., Gabrielov, A. (2009) Analytic continuation of eigenvalues of a quartic oscillator. Comm. Math. Physics v.287 p.431-457, DOI 10.1007/s00220-008-0663-6, (2009).
  • Zaliapin, I., Gabrielov, A., Keilis-Borok, V., Wong, H., Clustering analysis of seismicity and aftershock identification. Phys. Rev. Letters, v.101, 018501, 2008.
  • Eremenko, A., Gabrielov, A., and Shapiro, B., Zeros of eigenfunctions of some anharmonic oscillators. Ann. Inst. Fourier, v.58, 603-624, 2008.
  • Eremenko, A., Gabrielov, A., Shapiro, B., High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentials. Comput. Methods and Func. Theory, v. 8, 513-529, 2008.

 for a complete list of publications

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