Banach spaces and their operators; geometry of Banach spaces
Ideals and representations of operator algebras and, more generally, Banach algebras
Applied probability, Risk measures, Financial markets, Python modelling.


2019–2021 Principal investigator of the GAČR project 19-07129Y:
Metody lineární analýzy v operátorových algebrách a naopak
(Eng. Linear-analysis techniques in operator algebras and vice versa).

Postdoctoral researchers in the project:
Szymon Draga (2019),
Bence Horváth (2019-present),
Jarosław Swaczyna (2020-present).

Longer research visits:

March 2018
University of Cambridge, Peterhouse.

February – April 2014
Fields Institute for Research in Mathematical Sciences, Toronto
Thematic Program on Abstract Harmonic Analysis, Banach and Operator Algebras.


September 2017 – present
Researcher at the Department of Abstract Analysis
Institute of Mathematics of the Czech Academy of Sciences in Prague.

January 2016 – September 2017
Research Associate at Mathematics Institute employed from the ERC Advanced Grant Local Structure of Sets, Measures and Currents (PI: Professor David Preiss, FRS),
University of Warwick, England.

September 2015 – December 2015
Temporary Lectureship in Mathematics,
University College Cork, Cork, Ireland.

September 2014 – September 2015
Temporary Lectureship in Mathematics,
Department of Mathematics and Statistics, Lancaster University, England.

January – September 2014
WCMCS post-doctoral fellow (assistant professor),
Institute of Mathematics of the Polish Academy of Sciences in Warsaw, Poland.

October 2010 – November 2013
General teaching assistant,
Department of Mathematics and Statistics, Lancaster University, England.


June 2020
Habilitation, Jagiellonian University, Kraków, Poland.

October 2010 – November 2013
PhD in Mathematics, Lancaster University. Thesis: Closed ideals of operators on Banach spaces of continuous functions, 196 pp defended on November 5th, 2013,
Supervisor: Dr. N.J. Laustsen, Examiners: Prof. T A. Gillespie and Dr. G. Jameson.

October 2005 – June 2010
Integrated MSc studies on Pure Mathematics, University of Silesia, Katowice, Poland. Master's Thesis: On the applications of Martin's Axiom (final grade equivalent to 1st Class)
Supervisor: Professor Aleksander Błaszczyk.

September 2002 – June 2015
I Liceum Ogólnokształcące im. Waleriana Łukasińskiego, Dąbrowa Górnicza, Poland.

Other activities:

• I am a reviewer for Mathematical Reviews and Zentralblatt MATH.
• I also serve as an expert for the Polish National Agency for Academic Exchange.
• Occasionally, I contribute to Mathoverflow and Mathematics StackExchange.