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Andrei Prokhorov

        

Education

Saint-Petersburg State University, Master of Physics, 2014

Saint-Petersburg State University, Bachelor of Physics, 2012

Courses Taught / Teaching

MATH 11000 Fundamentals of Algebra,  MATH 15300 College Algebra, MATH 15400 Trigonometry, MATH 17100 Multidimensional Mathematics, MATH 51000 Vector Calculus, MATH M-118 Finite Mathematics

Research

Mathematical Physics, Integrable Systems, Riemann-Hilbert method

Publications & Professional Activities

7) Emma C. Bailey, Sandro Bettin, Gordon Blower, J. Brian Conrey, Andrei Prokhorov, Michael O. Rubinstein, Nina C. Snaith, "Mixed moments of characteristic polynomials of random unitary matrices", arXiv:1901.07479 [math-ph].

6) T. Bothner, A. Its, A. Prokhorov, "On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential" , Advances in Mathematics
Volume 345, 17 March 2019, Pages 483-551, arXiv:1708.06480v1 [math-ph] 

5) A. Its, O. Lisovyy, A. Prokhorov, "Monodromy dependence and connection formulae for isomonodromic tau functions", Duke Math. J.,Volume 167, Number 7 (2018), 1347-1432.  arXiv:1604.03082v1 [math-ph].

4) A. Its, A. Prokhorov, "Connection problem for the tau-function of the Sine-Gordon reduction of Painleve-III equation via the Riemann-Hilbert approach" , International Mathematics Research Notices, Volume 2016, Issue 22, 1 November 2016, Pages 6856-6883; arXiv:1506.07485v4 [math-ph] 

3) A. Prokhorov, N. Filonov, "Regularity of electromagnetic fields in convex domains", Boundary-value problems of mathematical physics and related problems of function theory. Part 44, Zap. Nauchn. Sem. POMI, 425, POMI, St. Petersburg, 2014, 55-85; arXiv:1501.07081 [math-ph].

2) A. Its, A. Prokhorov, "On Some Hamiltonian Properties of the Isomonodromic Tau Functions" , Reviews in Mathematical Physics 30:7, (2018); arXiv:1803.04212 [math-ph]

1) A. Prokhorov, N. Filonov, "The Maxwell operator with periodic coefficients in a cylinder" , Algebra i Analiz, 29:6 (2017), 182-196. English translation at St. Petersburg Math. J. 29 (2018), 997-1006, arXiv:1801.10440[math-ph].

Professional Affiliations

President of AMS Student Chapter at IUPUI (2017-2018) https://sites.google.com/view/ams-iupui

Honors, Awards and Grants

1) First Year Fellowship from School of Science, IUPUI, 2014

2) Outstanding Advanced Mathematics Graduate Student, IUPUI, 2016

3) Charalambos D. Aliprantis Prize, IUPUI, 2017

4) Yuri Abramovich Memorial Scholarship, IUPUI, 2018