Yuriy Nemish

I am a mathematician working in random matrix theory.

From 2019 to 2023 I was a SEW Visiting Assistant Professor at UC San Diego (Department of Mathematics). My sponsor was Todd Kemp. Before coming to UCSD, I was a postdoc in the research group of László Erdős at the Institute of Science and Technology Austria (2016-2019). I did my PhD at Institut de Mathématiques de Toulouse under the supervision of Mireille Capitaine and Michel Ledoux.

Contact

E-mail: first name dot last name at gmail dot com

Research

Research interests

Probability theory; random matrices; universality phenomena in random matrix theory; free probability; applications of random matrix theory in mathematical physics.

Publications and preprints

  1. Norm convergence rate for multivariate quadratic polynomials of Wigner matrices (with J. Fronk and T. Krüger), J. Funct. Anal., 59 pp., 2024   journal   arXiv
  2. Mesoscopic spectral CLT for block correlated random matrices (with T. Krüger), 42 pp., 2023   Submitted   arXiv
  3. Scattering in quantum dots via noncommutative rational functions (with L. Erdős and T. Krüger)   Ann. Henri Poincaré, 22, 4205-4269, 2021   journal   arXiv
  4. Local laws for polynomials of Wigner matrices (with L. Erdős and T. Krüger)   J. Funct. Anal. 278, no. 12, 108507, 59 pp., 2020   journal   arXiv
  5. Location of the spectrum of Kronecker random matrices (with J. Alt, L. Erdős and T. Krüger)   Ann. Inst. Henri Poincaré Probab. Stat., 55(2):661-696, 2019   journal   arXiv
  6. Local law for the product of independent non-Hermitian random matrices with independent entries   Elect. J. Prob. 22, no. 22, 35 pp., 2017   journal   arXiv
  7. No outliers in the spectrum of the product of independent non-Hermitian random matrices with independent entries   J. Theor. Probab. 31, no. 1, 402-444, 2018   journal   arXiv

Collaborators

Johannes Alt, László Erdős, Jacob Fronk, Brian Hall, Ching Wei Ho, Todd Kemp, Torben Krüger

Teaching

2022 - 2023      Fall   MATH 180A:  Introduction to Probability    MATH 10C:  Calculus III     Winter   MATH 180A:  Introduction to Probability     Spring   MATH 180C:  Introduction to Stochastic Processes II

2021 - 2022      Winter   MATH 142A:  Introduction to Analysis I    MATH 285:  Stochastic Processes     Spring   MATH 180C:  Introduction to Stochastic Processes II    Lecture A00  Lecture B00

2020 - 2021      Fall   MATH 180A:  Introduction to Probability    MATH 180C:  Introduction to Stochastic Processes II      Winter   MATH 180A:  Introduction to Probability    MATH 142A:  Introduction to Analysis I

2019 - 2020      Fall   MATH 180A:  Introduction to Probability      Winter   MATH 180B:  Introduction to Stochastic Processes I      Spring   MATH 180C:  Introduction to Stochastic Processes II

Education

2012-2016 PhD in Applied Mathematics, University of Toulouse 3, France
2011-2012 Master in Probability and Statistics, University Paris-Sud 11, Orsay, France
2010-2011 Master of Advanced Studies in Mathematics, University of Cambridge, UK
2009-2011 MSc in Mathematical Statistics, Lviv National University, Ukraine
2007-2008 MA in Banking, Lviv National University, Ukraine
2005-2009 BSc in Mathematics, Lviv National University, Ukraine
2003-2007 BA in Economics, Lviv National University, Ukraine

In 2021-2022 I organized the Probability Seminar at UC San Diego. The seminar website can be found here.