Interests:

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.

Grants:

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.

Employment:

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.

Education:

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.