Welcome to Mark Rychnovsky's Homepage
About Me:
I am an Assistant Professor RTPC in Mathematics at the University of Southern California. My research is in
probability; in particular I study random matrix theory, statistical mechanics, and Kardar Parisi Zhang
Universality. I am also interested in game theory, combinatorics, and epidemiology.
Contact:
Education:
- 2016 - 2021, Ph.D. in Mathematics, Columbia University.
Advisor: Ivan Corwin.
- 2012 - 2016, B.S. in Mathematics, UC Santa Barbara, CCS college.
Short online research talks:
Papers and Preprints:
-
Poisson Boundary for Upper-Triangular Groups. (with Anna Erschler and Josh Frisch) Arxiv preprint (2023)
-
Random walk on nonnegative integers in beta distributed random environment. (with Guillaume Barraquand)
Communications in Mathematical Physics (2023)
-
GUE corners process in boundary-weighed six-vertex models." (with Evgeni Dimitrov) Annales de l'Institut
Henri Poincare (2022)
-
Epidemic dynamics in inhomogeneous populations and the role of superspreaders. (with Kyle Kawagoe, Serina Y
Chang, Greg Huber, Lucy M Li, Jonathan Miller, Reuven Pnini, Boris Veytsman, David Yllanes) Physical Review
Research
(2021)
- Large deviations for sticky Brownian motions. (With Guillaume Barraquand) Electronic
Journal of Probability (2020).
-
Tracy-Widom asymptotics for a river delta model. (with Guillaume Barraquand) International workshop on
Stochastic Dynamics out of Equilibrium (2017)
-
Large vector spaces of block-symmetric strong linearizations of matrix polynomials. (with Maria Bueno,
Froilan Dopico, and Susana Fortado) Linear Algebra and its Applications (2015)
Teaching
- Fall 2023: Mathematical Statistics (Math 408)
- Spring 2022: Mathematical Statistics (Math 408)
- Fall 2022: Elementary Probability and Statistics, and Intro to math for Business and econ (Math 208 and
Math 117)
- Spring 2022: Mathematical Statistics and Calculus III (Math 408 and Math 226g)
- Fall 2021: Elementary Probability and Statistics (Math 208)