I am a PhD student at the Department of Mathematics, University of Toronto. My advisor is Bálint Virág.
Previously (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 2014).
More generally, I am interested in mathematics with probabilistic, geometric or combinatorial flavour, theoretical computer science and theoretical physics. In case you are interested, here is a list of courses I have taken during my studies.
- geometric group theory, discrete probability, spectral graph theory, random walks on groups
I co-organized Geometric Group Theory Student Workshop in Będlewo in May 2013.
Non-Liouville groups with return probability exponent at most 1/2
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).
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 science, I am interested, among other things, in books, mountain hiking, music, digital photography, teaching gifted students, philosophy, cognitive science, improv etc. etc. You can find out more on my personal webpage.