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Alexander Its

Members

Name

Alexander Its

Affiliation

Indiana University Purdue University Indianapolis (IUPUI)

Email

aits@iupui.edu

Phone (1)

1-(317) 603 7781

Areas of research (1)

Mathematical Physics and Integrable systems

Area of research (2)

Asymptotic analysis, special functions, orthogonal polynomials, matrix models

Area of research (3)

Exactly solvable quantum field and statistical mechanics models

Area of research (4)

Soliton Theory

Students with dates (current and since last year) and affiliation (1)

Andrei Prokhorov. 2013 – April 2019, IUPUI

Students with dates (current and since last year) and affiliation (2)

Roozbeh Gharakhloo, 2013 – April 2019, IUPUI

Visiting Researchers with exact dates (current and since last year) and affiliation (1)

Jani Virtanen, 09/16/19 – 09/25/19, Reading University, UK

Visiting Researchers with exact dates (current and since last year) and affiliation (2)

Gyorgy Geher, 09/16/19 – 09/25/19, Reading University, UK

Visiting Researchers with exact dates (current and since last year) and affiliation (3)

John Harnad, 10/09/19 – 10/13/19, CRM, Montreal, Canada

Visiting Researchers with exact dates (current and since last year) and affiliation (4)

Christian Klein, 11/21/19 – 11/23/19, University of Burgundy, Dijon, France

Selected Recent Publications (past 2 years only) (1)

A. R. Its, A. Prokhorov, On some Hamiltonian properties of the isomonodromic tau functions, in ''Ludwig Faddeev Memorial Volume: A Life in Mathematical Physics" eds. Molin Ge, Antti Niemi, Kok Khoo Phua, Leon A. Takhtajan, New Jersey : World Scientific, 2018.

Selected Recent Publications (past 2 years only) (2)

A. Its, E. Its, The Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane. Revisited Letters in Mathematical Physics, Letters in Mathematical Physics. Volume 108, Issue 4, pp.1109-1135, 2018,

Selected Recent Publications (past 2 years only) (3)

A. R. Its, O. Lisovyy, and A. Prokhorov, Monodromy dependence and connection formulae for isomonodromic tau functions, Duke Math. J. (2018) Volume 167, Number 7 pp 1347 ( 1432 ( DOI 10.1215/00127094- 2017-0055)

Selected Recent Publications (past 2 years only) (4)

T. Bothner, A. Its, A. Prokhorov, On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Uena differential, Advances in Mathematics v. 345 2019 DOI: 10.1016/j.aim.2019.01.025

Selected Recent Publications (past 2 years only) (5)

R. Gharakhloo, A. R. Its, K.K. Kozlowski, Riemann-Hilbert approach to a generalized sine kernel. arXiv:1905.04907v1 [math-ph], accepted to LMP.

Selected Recent Publications (past 2 years only) (6)

E. Basor, P. Bleher, R. Buckingham, T. Grava, A. Its, E. Its, J. P. Keating, A representation of joint moments of CUE characteristic polynomials in terms of Painleve functions, 2019, Nonlineraity, Volume 32, Number 10, pp 4033 – 4078

Recent Invited Talks and Lectures (past year only) (1)

Toeplitz determinants, Painleve equations, and special functions. A Riemann-Hilbert point of view. Mini-course at Luminy, France during the Research School – Coulomb gas, Integralility and Painleve equations March 11 – 15, 2019

Recent Invited Talks and Lectures (past year only) (2)

Large time asymptotics for the cylindrical Korteweg-de Vries equation. II Invited talk at the conference "Nonlinear dynamics and long-time asymptotics", in the memory of Vladimir S. Buslaev. St. Petersburg, Russia, May 16, 2019

Recent Invited Talks and Lectures (past year only) (3)

On the asymptotic analysis of the Calogero-Painlevé systems. Invited talk at the conference « The Art of Quantization'' on the occasion of Faddeev's 85th anniversary in St. Petersburg, Russia, May 31, 2019

Recent Invited Talks and Lectures (past year only) (4)

The Riemann-Hilbert method. Toeplitz determinants as a case study. Master Class in the Isaac Newton Institute Fall 2019 thematic program: Complex Analysis: Techniques, Applications and Computations, UK, Cambridge, October 24 and October 25, 2019

Recent conferences organized or co-organized (past 2 years only) (1)

Tau Functions of Integrable Systems and Their Applications, Banff Conference, September 2 – 7, 2018

Recent conferences organized or co-organized (past 2 years only) (2)

Complex Analysis in Mathematical Physics and Applications, INI, Cambridge, 28 October 2019 – 1 November 2019

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