Tomasz Kochanek

Scientific interests

Banach space theory and its interplay with vector measures and combinatorics; operator theory and operator algebras; Ulam stability problems in Banach spaces and C*-algebras. In particular:


Current position

Assistant professor; joint position at the Institute of Mathematics of the University of Warsaw and the Institute of Mathematics of the Polish Academy of Sciences (2013-2020).


Academic degrees

  • Habilitation in mathematics: Institute of Mathematics, Polish Academy of Sciences (2020). Scientific achievement: The three-space problem and transfinite methods in the geometry of Banach spaces. Reviewers: prof. Jerzy Kąkol, prof. Gilles Lancien and prof. Jan Stochel.
  • Ph.D. in mathematics: Institute of Mathematics, University of Silesia (2010). Doctoral dissertation: Zagadnienie stabilności dla funkcji arytmetycznych (Stability aspects of arithmetic functions). Supervisor: prof. Roman Ger; reviewers: prof. Henryk Hudzik and prof. Andrzej Schinzel.
  • M.Sc. in mathematics: Institute of Mathematics, University of Silesia (2006). Master of Science thesis: O równaniu Gołąba-Schinzla (On the Gołąb-Schinzel equation). Supervisor: prof. Roman Ger.

Grants

  • Vybraná témata nelineární funkcionální analýzy a teorie aproximací (Selected topics in nonlinear functional analysis and approximation theory). GAČR project no. 18-00960Y at the Technical University in Prague (2018-2020); principal investigator: E. Pernecká.
  • Liniowe i nieliniowe faktoryzacje operatorów oraz ich własności stabilnościowe w C*-algebrach
    i w kratach
    (Linear and nonlinear factorizations of operators and their stability properties in
    C*-algebras and lattices
    ). Iuventus Plus project no. IP2012-011072 at the University of Silesia (2013-2014); principal investigator: W. Fechner.

Awards

  • 1st prize in the Marek Kuczma Contest on the best Polish paper on functional equations and related topics, for the paper Stability of vector measures and twisted sums in Banach spaces
    (J. Funct. Anal. 2013).
  • 1st prize in the Marek Kuczma Contest on the best Polish paper on functional equations and related topics, for the paper Stability problem for number-theoretically multiplicative functions (Proc. Amer. Math. Soc. 2007; jointly with M. Lewicki).
  • "ISFE Medal for Outstanding Contribution" awarded by the Scientific Committee of the 46th International Symposium on Functional Equations, Opava 2008.