About me

I am an assistant professor at Institute of Mathematics of the Polish Academy of Sciences. I work in the area of geometric group theory, focusing on topics related to Kazhdan’s property (T).

My research is supported 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

 
 
 
 
 
Institute of Mathematics, Polish Academy of Sciences
Assistant Professor
Institute of Mathematics, Polish Academy of Sciences
June 2021 – Present Warsaw

I have been 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

(2024). On order units in the augmentation ideal. Proceedings of the American Mathematical Society, 152 (5).

PDF Cite Arxiv

(2024). Spectral gap for the cohomological Laplacian of SL$_3$(ℤ). Experimental Mathematics.

PDF Cite Code Arxiv

(2020). A new family of finite Oliver groups satisfying the Laitinen Conjecture. Topology and its Applications, 283.

PDF Cite Arxiv

Contact

  • pmizerka@impan.pl
  • Śniadeckich 8, Warsaw, 00-656
  • Office 02
  • Wednesday 10:00 to 12:00 and 13:00 to 15:00