**Homepage of Jan Grebík**

520 Portola Plaza

Los Angeles, CA 90095, United States

grebikj [at] mail.muni.cz

I am a Marie Skłodowska-Curie postdoctoral fellow at the Department of Mathematics at UCLA and at the Faculty of Informatics at MU, my mentors are Itay Neeman and Dan Kral. You can find more details about my Global MSCA Postdoctoral Fellowship here BORCA.

I am interested combinatorics, descriptive set theory, random processes and distributed computing.

__Selected publications:__

- Measurable Vizing's theorem,
*accepted to***Forum Math. Sigma**(2024), [arXiv]. - (with S. Brandt, Y. Chang, C. Grunau, V. Rozhoň, Z. Vidnyánszky) On Homomorphism Graphs,
**Forum Math. Pi**12 (2024), e10, [arXiv, Journal]. - (with V. Rozhoň) Local Problems on Grids from the Perspective of Distributed Algorithms, Finitary Factors, and Descriptive Combinatorics,
**Adv. Math.**431 (2023), [arXiv, Journal]. - (with R. Greenfeld, V. Rozhoň, T. Tao) Measurable tilings by abelian group actions,
**Int. Math. Res. Not**23 (2023), [arXiv, Journal]. - (with O. Pikhurko) Measurable versions of Vizing's theorem,
**Adv. Math.**374 (2020), [arXiv, Journal].

I have recieved the 2022 Mary Ellen Rudin Young Researcher Award.

Before I was a research assistant at the University of Warwick working with O. Pikhurko and a member of the Leverhulme Research Project Grant RPG-2018-424 "Measurable Combinatorics" (2019-2023), a student researcher at the Mathematics Institute of the Czech Academy of Sciences (2015-2019), student researcher at the Institute of Computer Science of the Czech Academy of Sciences (2018), and I completed my PhD at the Charles University in 2020 working under supervision of David Chodounský.

Publications, also available on arXiv

Google scholar

MathSciNet

ORCID: orcid.org/0000-0002-9980-4660

Here is my short [CV]

**Upcoming events that I co-organize**

Algomanet - spring 2024, Jagiellonian University, Krakow, May 20-24, 2024.

Thematic semester on Measurable Combinatorics, Erdős Center, Budapest, spring 2024

- Young Set Theory Workshop, June 17-21, 2024,
- Workshop on Measurable Combinatorics, June 24-28, 2024.

AlgoMaNet – Autumn 2024, University of Warsaw, Warsaw, September 9 -13, 2024.

One day Combinatorics meeting, Masaryk Unviersity, Brno, Novemeber 15 - 16, 2024.

Winter School in Abstract Analysis 2025, Hejnice, Jan 25 - Feb 1, 2025.

**Warwick related**

2021-22, Term 1, Distributed Computing, Random Processes and Descriptive Combinatorics, Tuesdays 1pm

2020-2022, Warwick's Combinatorics Seminar