I am a research assistant at the Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw.
Previously (2017-2018) I was a postdoctoral fellow (in the Concentration of Measure project) at the Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw and before that (2016-2017) a WCMCS postdoctoral fellow at the same department.
I finished my PhD at the Department of Mathematics, University of Toronto in 2016. My advisor was Bálint Virág. You can take a look at my thesis here.
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 September 2018).
My main research interests are stochastic processes on graphs and groups. I have worked on random walks on groups, cycle structure of random permutations, large deviations for random permutations and random groups.
More generally, I am also interested in spectral properties of various objects, random discrete structures (like random graphs) and any applications of probabilistic, combinatorial and quantitative techniques to geometry, group theory, theoretical computer science and models coming from statistical physics.
The interchange process with reversals on the complete graph (arxiv:1812.03301)
A note on concentration for polynomials in the Ising model (arxiv:1809.03187)
Phase transition for the interchange and quantum Heisenberg models on the Hamming graph (arxiv:1808.08902)
Non-Liouville groups with return probability exponent at most 1/2
Electron. Commun. Probab. 20 (2015), no. 12
Random groups and property (T): Żuk's theorem revisited
J. London Math. Soc. (2013) 88 (2): 396-416
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
Education and teaching gifted students
I am very 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).
Teaching (in Polish)
Analiza matematyczna I.1, semestr zimowy 2018
Wprowadzenie do matematyki I (kognitywistyka), semestr zimowy 2018
Analiza matematyczna I.2, semestr letni 2016
Analiza matematyczna I.1, semestr zimowy 2016
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, among other things, 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.