I am an assistant professor at the Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw.
Previously (2019-2022) I worked at the Institute of Mathematics, Polish Academy of Sciences (IMPAN) and before that at my current department, Faculty of Mathematics, Informatics, and Mechanics (2016-2019).
I finished my PhD at the Department of Mathematics, University of Toronto in 2016. My advisor was Bálint Virág.
Before that (2006-2011) I studied mathematics, physics and computer science at the University of Warsaw, where I obtained
my M. Sc. degree in mathematics at Faculty of Mathematics, Informatics and Mechanics (my advisor was
CV (updated January 2023).
My main research interests are related to stochastic processes on graphs and groups, asymptotic properties of random structures and their relation to statistical physics.
My current focus is on the cycle structure of various models of random permutations. I have also worked on random walks on groups, concentration inequalities, large deviations for random permutations and random groups.
Large deviations for the interchange process on the interval and incompressible flows (arxiv:2110.12203)
Geom. Funct. Anal. 32, 1357–1427 (2022)
Phase transition for the interchange and quantum Heisenberg models on the Hamming graph (arxiv:1808.08902)
Ann. Inst. H. Poincaré Probab. Statist. 57 (1) 273 - 325 (2021)
The interchange process with reversals on the complete graph (arxiv:1812.03301)
Electron. J. Probab. 24, no. 108, 43 pp. (2019)
A note on concentration for polynomials in the Ising model (arxiv:1809.03187)
Electron. J. Probab. 24, no. 42, 22 pp. (2019)
Non-Liouville groups with return probability exponent at most 1/2
Electron. Commun. Probab. 20, no. 12 (2015)
Random groups and property (T): Żuk's theorem revisited
J. London Math. Soc. 88 (2): 396-416 (2013)
Tight Bell inequalities with no quantum violation from qubit unextendible product bases
Phys. Rev. A 85, 042113 (2012)
Universal nonlinear entanglement witnesses (arxiv:1003.0210)
Phys. Rev. A 81, 062318 (2010)
Expository and popular articles
Teaching (in Polish)
Probability on graphs, summer term 2019/2020
Analiza matematyczna II.1, semestr zimowy 2019/2020
Funkcje analityczne, semestr zimowy 2019/2020
Rachunek prawdopodobieństwa I, semestr letni 2018/2019
Analiza matematyczna I.1, semestr zimowy 2018/2019
Wprowadzenie do matematyki I (kognitywistyka), semestr zimowy 2018/2019
Analiza matematyczna I.2, semestr letni 2016/2017
Analiza matematyczna I.1, semestr zimowy 2016/2017
Education and teaching gifted students
I am passionate about teaching talented high school students and exposition of science. You can read more about the initiatives I've been involved in here.
- Here are some notes on spectral graph theory and expanders (for a short course I co-taught in Warsaw in April 2012).
- Short notes on combinatorics of finite fields, Combinatorial Nullstellensatz and finite field Kakeya conjecture (for a course for high school students taught at WWW 8, August 2012).
- Some notes about the Gromov monster group construction (from a talk in the Probability, Geometry and Groups seminar at the University of Toronto, 2013).
How to pronounce my name
My name is pronounced [ˈmʲixaw kɔˈtɔfskʲi] (IPA) or like "me-how kotovsky" ("ł" is pronounced like "w" in English).
Apart from mathematics, I am interested in music, photography, mountain hiking, teaching gifted students, contact improvisation, paratheatre (in the spirit of Grotowski) etc. You can find out more on my personal webpage.