Piotr Mizerka

Assistant Professor

Institute of Mathematics, Polish Academy of Sciences

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

Assistant Professor

Institute of Mathematics, Polish Academy of Sciences

June 2021 – Present Warsaw

I have been funded by:

NSC Poland Sonatina project “Algebraic spectral gaps in group cohomology”, 2022.12 - now
NSC Poland Maestro project “Analysis on Groups”, 2022.08 - 2023.01
ERC Starting Grant “Rigidity of groups and higher index theory”, 2021.06 - 2022.07

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

Piotr Mizerka, Piotr W. Nowak (2023). On order units in the augmentation ideal. To appear in the Proceedings of the American Mathematical Society.

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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, 60(1).

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Marek Kaluba, Piotr Mizerka, Piotr W. Nowak (2022). Spectral gap for the cohomological Laplacian of $SL_3(ℤ)$.

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

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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, 35.

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