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:

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: 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.

Scientific titles:

June 2020
Habilitation, Jagiellonian University, Kraków, Poland.
A series of papers under the joint title: Surjective images and ideals of Banach algebras with an emphasis on algebras of operators on Banach spaces

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: Niels J. Laustsen, Examiners: T Alastair Gillespie and Graham Jameson.

October 2019 – October 2021
MSc studies on Computer science, University of Economics in Katowice, Poland
Master's Thesis: Methods of Topological Data Analysis in Decision Theory
Supervisor: Tomasz Wachowicz (final grade equivalent to First Class).

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
Supervisor: Aleksander Błaszczyk (final grade equivalent to First Class).

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.