B.S. and M.A. in Mathematics (1986), Havana University, Cuba
Ph. D. in Mathematics (1991) State Moscow University "M.V. Lomonosov", Russia
Dr. Martinez-Finkelshtein started teaching full time at Baylor in January 2018. Before joining Baylor University, Andrei was full professor of applied mathematics at the University of Almeria, Spain (1994-), an affiliation he still keeps. He also taught at the Havana University, Cuba (1991-1994) and held visiting positions at several universities in Spain (Universidad Autonoma de Madrid, and Universidad Carlos III de Madrid) and the United States (University of South Florida and Vanderbilt University). He is member of several professional societies, and currently, Program Director of the SIAM Activity Group "Orthogonal Polynomials and Special Functions" (its vice-chair in 2017-2019). He is also in the editorial board of four journals. He loves gadgets, and his hobbies include listening to music, reading, swimming, and meeting friends.
Academic Interests and Research:
Dr. Martinez-Finkelshtein's research areas include approximation theory, orthogonal polynomials, special functions and applications, Riemann-Hilbert problems and asymptotic analysis, complex and numerical analysis, and mathematical modelling, in particular, in ophthalmology and vision science.
Recent Selected Publications:
- A. Martínez-Finkelshtein, G. Silva, Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight, Advances in Mathematics 349 (2019), 246-315.
- A. Martínez-Finkelshtein, Brian Simanek, Barry Simon, Poncelet's Theorem, Paraorthogonal Polynomials and the Numerical Range of Compressed Multiplication Operators, Advances in Mathematics 349 (2019), 992-1035.
- A. Martinez-Finkelshtein, E. A. Rakhmanov, Do orthogonal polynomials dream of symmetric curves?, Foundations of Computational Mathematics (2016) 16:1697-1736, doi: 10.1007/s10208-016-9313-0. Also preprint arXiv math.1511.09175.
- A. Martínez-Finkelshtein, G. Silva, Critical measures for vector energy: global structure of trajectories of quadratic differentials, Advances in Mathematics 302 (2016), 1137-1232. Also preprint arxiv math.1509.06704.
- A. Martínez-Finkelshtein, D. Ramos-López, and D. Robert Iskander, Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions, Applied and Computational Harmonic Analysis 43 (3) (2017), 424-448.
- A. Martínez-Finkelshtein, E. A. Rakhmanov, R. Orive, Phase transitions and equilibrium measures in random matrix models, Comm. Math. Physics 333 (3) (2015), 1109-1173. doi 10.1007/s00220-014-2261-0. Also preprint arXiv math.1302.3647.
- A. Martinez-Finkelshtein, E. A. Rakhmanov, Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials, Comm. Math. Physics 302, 53-111 (2011). Also preprint arXiv:0902.0193.
Current Ph.D. Students:
Taylor Poe, coadvised with Dr. Brian Simanek.