About me

I am an assistant professor at Faculty of Mathematics and Computer Science of Adam Mickiewicz University in Poznań. I work in the area of geometric group theory, focusing on topics related to Kazhdan’s property (T).

Before, I was an assistant professor at Institute of Mathematics of the Polish Academy of Sciences. My research was supported there by the NSC Sonatina grant “Algebraic spectral gaps in group cohomology” whose I am a principal investigator. Earlier, I was funded by the two projects of prof. Piotr Nowak: NSC Maestro grant “Analysis on Groups” and the ERC Starting Grant “Rigidity of groups and higher index theory”.

I obtained a PhD degree at Adam Mickiewicz University in Poznań, where I worked in algebraic topology, focusing on finite group actions on manifolds.

In my scientific work I often support myself with computer calculations.

Interests
  • Kazhdan’s property (T)
  • Group cohomology
  • Geometric group theory
  • Group actions on manifolds
Education

  • PhD in Mathematics, 2021

    Adam Mickiewicz University in Poznań

  • MSc in Mathematics, 2017

    Adam Mickiewicz University in Poznań

  • BEng in Computer Science, 2016

    Adam Mickiewicz University in Poznań

  • BSc in Mathematics, 2015

    Adam Mickiewicz University in Poznań

Experience

 
 
 
 
 
Adam Mickiewicz University in Poznań
Assistant Professor
Adam Mickiewicz University in Poznań
December 2024 – Present Poznań
 
 
 
 
 
Max Planck Institute for Mathematics
Postdoc in Guest Program
Max Planck Institute for Mathematics
January 2026 – Februrary 2026 Bonn
 
 
 
 
 
Institute of Mathematics, Polish Academy of Sciences
Assistant Professor
Institute of Mathematics, Polish Academy of Sciences
June 2021 – December 2024 Warsaw

I was funded by:

 
 
 
 
 
Institute of Mathematics, University of Oxford
Academic Visitor
Institute of Mathematics, University of Oxford
January 2023 – June 2023 Oxford
An academic internship under the suprevision of prof. Dawid Kielak, funded from the NSC Poland Sonatina project “Algebraic spectral gaps in group cohomology”.

Publications

Michał Marcinkowski, Piotr Mizerka Sampling elements of a finite group: efficiency of the product replacement algorithm with an accumulator (preprint).

Code

Piotr Mizerka, Jakub Szymański (2026). Inducing spectral gaps for the cohomological Laplacians of Sp$_2$$_n$(ℤ) . Journal of Topology and Analysis.

Code Arxiv

Benjamin Brück, Sam Hughes, Dawid Kielak, Piotr Mizerka (2025). Non-vanishing unitary cohomology of low-rank integral special linear groups. International Mathematics Research Notices.

Code Arxiv

Piotr Mizerka, Piotr W. Nowak (2024). On order units in the augmentation ideal. Proceedings of the American Mathematical Society.

PDF Cite Arxiv

Piotr Mizerka (2026). Inducing spectral gaps for the cohomological Laplacians of SL$_n$(ℤ) and SAut(F$_n$). Journal of Topology and Analysis.

Cite Code Arxiv

Marek Kaluba, Piotr Mizerka, Piotr W. Nowak (2024). Spectral gap for the cohomological Laplacian of SL$_3$(ℤ). Experimental Mathematics.

Code Arxiv

Piotr Mizerka (2023). Exclusions of smooth actions on spheres of the non-split extension of C$_2$ by SL(2,5). Osaka Journal of Mathematics.

Arxiv

Piotr Mizerka (2020). A new family of finite Oliver groups satisfying the Laitinen Conjecture. Topology and its Applications.

Arxiv

Jacek Mizerka, Agnieszka Stróżyńska-Szajek, Piotr Mizerka (2020). The role of Bitcoin on developed and emerging markets – on the basis of a Bitcoin users graph analysis. Finance Research Letters.

Code

Agnieszka Borowiecka, Piotr Mizerka (2018). Nonexistence of smooth effective one fixed point actions of finite Oliver groups on low-dimensional spheres. Bulletin of the Polish Academy of Sciences. Mathematics.

Arxiv

Teaching

(2026). Introduction to Topological Data Analysis.

(2024). Wstęp do algebry i teorii liczb.

(2023). Modern methods of data analysis.

(2022). Modern methods of data analysis.

(2020). Basics of mathematics.

See all

Contact

  • piotr.mizerka@amu.edu.pl
  • Uniwersytetu Poznańskiego 4, Poznań, 61-614
  • Office B1-33
  • Tuesday 12:00 to 13:00 and the second after e-mail appointment