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
**Papers**. All of them. - My
**Google Scholar profile**. - My papers on
**MathSciNet**,**ZbMath**, and**arXiv**. - My papers on
**Math-Net.Ru**(in Russian).

- My
**YouTube channel**with talk videos.

My book: ** Lectures on Discrete and Polyhedral Geometry**.

- My blog.
- My MO profile.
- My Catalan Numbers Page.
- My What is Combinatorics? quotation page, and a companion "Just combinatorics" quotation page.
- My Collection of Combinatorics videos page (prior to 2015).

- UCLA Combinatorics Seminar
(current, every Thu 2 pm, organized jointly with Pavel Galashin).

See past videos on YouTube. - Los Angeles Combinatorics
and Complexity Seminar (Fall 2020, online, organized jointly with Greta Panova).

See past videos on YouTube. - Algebraic Combinatorics Online Seminars (worldwide)
- Combinatorics Lectures Online (worldwide)
- Research Seminars (worldwide, all subjects)

- Math 206B (Posets, Winter 2024)
- Math 206A (Convex Polytopes, Fall 2023)
- Math 206B (Bijective Combinatorics, Winter 2021)
- Math 285 (Computational Combinatorics, Fall 2022)
- Math 182 (Algorithms, Summer 2022)
- Math 184 (Enumerative Combinatorics, Spring 2022)
- Math 206B (Enumerative Combinatorics, Winter 2021)
- Math 218 (Probabilistic Method, Fall 2021)
- Math 285 (Discrete Geometry, Spring 2021)
- Math 180 (Graph Theory, Winter 2021)
- IUM (Convex Polytopes, Winter 2021)
- Math 206A (Posets, Fall 2020)
- Math 285 (Combinatorics and Probability on Groups, Spring 2020)
- Math 19 (Integer Sequences Seminar, Fall 2019)
- Math 206B (Algebraic Combinatorics, Winter 2018)
- Math 206A (Discrete Geometry, Fall 2018)
- Math 206 (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**.

- Combinatorics and complexity of Stanley's inequality, Stanley's birthday conference (June 4, 2024), slides.
- Oda's strong factorization conjecture on stellar subdivision of triangulations (joint with Joaquín Moraga), slides only: Part 1 by Joaquín and Part 2 by me (May 2024).
- Combinatorics and computational complexity of counting coincidences, GSCC'24 (Mar. 17, 2024), slides only.
- Equality cases of the Alexandrov-Fenchel inequality, Discrete Geometry workshop in Oberwolfach (Jan. 23, 2024).
- What is beyond D-finite?, video and slides at the Computer algebra for functional equations in combinatorics and physics, IHP, Paris (Dec. 4, 2023).
- Poset inequalities, plenary talk at
*CanaDAM*(June 8, 2023), slides only. - Integer points in polytopes are hard to find, Mixed Integer Programming Workshop, USC, Los Angeles (May 24, 2023), slides only, Twitter thread.
- What do we know about the cogrowth sequence?, Transcendence and Combinatorics, IHP, Paris (Dec. 9, 2022), slides only.
- Combinatorial inequalities, UIUC Colloquium (Sep. 1, 2022), slides only.
- Complexity approach to combinatorial interpretations, Open Problems in Algebraic Combinatorics Conference, Minneapolis (May 18, 2022), talk video and slides.
- Combinatorial inequalities,
*The Vinberg Lecture*, Distinguished Lecture Series, video and slides (May 4, 2022) - Quantitative Linear Algebra, IPAM Reunion workshop, UCLA, Lake Arrowhead, CA; slides only (Dec. 13, 2021).
- Log-concave poset inequalities, see Zoom talk video and slides (CJCS, Nov. 4, 2021).
- Random linear extensions of posets, see Zoom talk video and slides at the Permutations and Probability Banff workshop (Sep. 2021).
- Hook formulas and their generalizations, New Perspectives in Asymptotic Representation Theory (Sergei Kerov Memorial Conference), POMI, St. Petersburg, Russia, see Zoom talk video on the website and slides (Aug. 2021).
- Combinatorial Inequalities, Colloquium, Yale University, Zoom talk video and slides (May 2021).
- Polyhedral domes, Colloquium, Kings College London, UK, Zoom talk video and slides (this is a general audience talk, May 2021).
- What is a combinatorial interpretation?, Experimental Mathematics Seminar, Rutgers (Apr. 2021). Zoom talk video and slides.
- Sorting numbers, convex polytopes and geometric inequalities (in Russian), 20th Modern Mathematics Summer School (Dubna, Russia, July 2021), video only.
- Cogrowth sequences in groups and graphs, ENS Group Theory Seminar (Jan. 2021), Zoom talk video and slides.
- Kronecker coefficients: bounds and complexity, Triangle Lectures in Combinatorics, UNC Greensboro (Nov. 2020). Zoom talk video and slides.
- Domes over Curves, Polytopics: Recent advances on polytopes, MPI (Apr. 7, 2021). Zoom talk video and slides. Video of a blackboard version of this talk is here, at NYU Geometry Seminar (Mar. 2023).
- 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**.

I have a dated short (.pdf file, 1.5 pages)
and an extended (.pdf file, 35 pages)
versions of the resume.

I also have a dated list of my coauthors
with their web pages (if available).

*Mike Korn*(MIT, 2004). His thesis.*Sergiy Sidenko*(MIT, 2008). His thesis.*Matjaz Konvalinka*(MIT, 2008). His thesis.*Stedman Wilson*(UCLA 2012). His thesis.*Jed Yang*(UCLA 2013). His thesis.*Anton Malyshev*(UCLA 2014). His thesis.*Sam Miner*(UCLA 2015). His thesis.*Scott Garrabrant*(UCLA 2015). His thesis.*Andrew Soffer*(UCLA 2016). His thesis.*Danny Nguyen*(UCLA 2018). His thesis.*Samuel Dittmer*(UCLA 2019). His thesis.*David Soukup*(UCLA 2024). His thesis.

*Greta Panova*(Simons Instructor at UCLA, 2011–2014).*Stephen DeSalvo*(UCLA, 2012–2017).*Alejandro H. Morales*(UCLA, 2014–2017).*Martin Tassy*(UCLA, 2014–2017).*Olya Mandelshtam*(PPFP at UCLA, 2016–2017).*Damir Yeliussizov*(UCLA, 2016–2018).*Swee Hong Chan*(UCLA, 2019–2022).*Melissa Sherman-Bennett*(PPFP at UCLA, 2021).*Colleen Robichaux*(NSF and CPFP at UCLA, 2022–present).

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: 7/29/2024*