Igor Pak Home Page
I am a Professor at the Mathematics Department
at UCLA. I am a member of the
Combinatorics Group,
one of the oldest Combinatorics group in the US
(see the History of Combinatorics at UCLA).
Before coming here, I was at
University of Minnesota and
MIT.
Prior to that, I was a Gibbs Instructor at Yale University
and a Postdoctoral Fellow at MSRI.
I got my Ph.D. from Harvard University.
I did my undergraduate studies at Moscow
State University. I went to Moscow High School 57.
I work in Discrete Mathematics. More specifically, my research spans
the following topics:
- Discrete and Polyhedral Geometry,
- Enumerative and Algebraic Combinatorics,
- Probability and Computations on Groups.
My undergraduate advisor was
Alexandre
Kirillov (currently at
UPenn). My graduate advisor was
Persi Diaconis (currently at
Stanford). As a postdoc at Yale,
I was working with
László Lovász
(currently at Eötvös Loránd
University in Budapest, Hungary).
As a NSF postdoc at MIT, I was working with
Richard Stanley (still at MIT but also at University of Miami).
Here are some of my papers. My Google Scholar profile.
Here is my book: Lectures on Discrete and Polyhedral Geometry.
Popular math writing links:
Online Seminars:
Selected courses:
- Math 180
(Graph Theory, Winter 2021)
- Math 206A
(Combinatorics of posets, Fall 2020)
- Math 285
(Combinatorics and Probability on Groups, Spring 2020)
- Math 19
(Integer Sequences Seminar, Fall 2019)
- Math 205 (Combinatorics of integer sequences, Fall 2016)
-
Math 206 (Combinatorics of words, Fall 2014)
-
Math 285N (Tilings, Winter 2013)
-
Math 285N (Enumerative Combinatorics, Fall 2010)
-
Math 285N (Discrete Geometry, Spring 2010)
For other past courses, see my Teaching Page.
Selected lectures:
-
Kronecker coefficients: bounds and complexity,
Triangle Lectures in Combinatorics,
UNC Greensboro (Nov. 2020). Zoom talk video
and slides.
-
Domes over Curves, MFO Workshop in Discrete Geometry (Sep. 2020).
Zoom talk video and slides.
-
Counting Contingency Tables, Combinatorics Seminar, OSU (Sep. 2020).
Zoom talk video and slides.
- Counting with tiles, Combinatorics Seminar,
Paris 13 (June 2020). Zoom talk video
and slides.
-
Counting linear extensions and Young tableaux,
BCC (July 2019),
Birmingham, UK. Slides only.
-
Complexity problems in enumerative combinatorics,
ICM Rio de Janeiro (Aug. 2018). Video and slides.
-
Tiling spaces with congruent polyhedra, Geometry Seminar,
Brown University (Dec. 2017). Slides only.
-
The
combinatorics and complexity of integer sequences, Banff workshop (Sep. 2017). Video only.
-
Computability and Enumeration,
Mathematics of Jirka Matousek, Charles University, Prague (July 2016). Video and slides.
-
Words
in linear groups, random walks, automata and P-recursiveness, Banff, Canada (Mar. 2015). Video only.
-
Counting with Wang tiles,
IMA, Minneapolis (Nov. 2014). Video and slides.
-
Universality
theorems in Algebra and Geometry, Stony Brook U. (Sep. 2014). Video only.
For other (mostly older) lectures, see my Lectures Page.
Resume:
I have a dated short (.pdf file, 1.2 pages)
and an extended (.pdf file, 31 pages)
versions of the resume.
I also have a list of my coauthors
with their web pages (if available).
Former Ph.D. students:
Postdocs:
Current Editorial Boards:
Contact information:
Igor Pak
Department of Mathematics, UCLA
Los Angeles, CA 90095, USA
Office: Math Sciences 6125
Phone: (310) 825-4701 (no message service)
Fax: (310) 206-6673
E-mail: my last name AT math DOT ucla.edu
Last updated: 1/4/2021