Metric completions of triangulated categories from finite dimensional algebras
Applied Categorical Structures, vol. 34, num. 27, 2026
About me
I am a postdoctoral researcher at Paderborn University within the Pure Mathematics - Algebra group led by Janina Letz. My main research interests are homological algebra and representation theory of quivers and finite-dimensional algebras. I currently work with triangulated and derived categories arising in representation theory. I am also interested in the approximation theory of modules.
I obtained my Ph.D. in mathematics at Aarhus University, Denmark, where I was supervised by Sira Gratz. You can find my doctoral thesis here.
I did my undergraduate studies at Charles University in Prague, Czech Republic. I wrote my master thesis "Module approximations and direct limits" and my bachelor theis "Testing the projectivity of modules" under the supervison of Jan Šaroch. During my master studies, I went for a semester Erasmus+ exchange stay at University of Franche-Comté in Besançon, France.
Publications
Preprints
Metric completions of triangulated categories from hereditary rings
arXiv:2508.20283v2
Talks
Metric structures and continuity in derived representation theory at HSM Special Topic School
Representation Theory of Algebras and its Applications.
University of Bonn, 6-10 July 2026
Completing derived categories of tame algebras and weighted projective lines at
Workshop and International Conference on Representations of Algebras (ICRA 22).
Université Grenoble Alpes, Grenoble, France, 22 June - 3 July 2026
Completing derived categories of tame algebras and weighted projective lines at conference
Maurice Auslander Centenary Lectures.
Woods Hole, Massachusetts, USA, 22-27 April 2026
Hereditary rings and metric completions of their derived categories at
Köln Algebra and Representation Theory Seminar.
University of Cologne, Germany, 4 November 2025
Hereditary rings and metric completions of their derived categories at
Algebra and Algebraic Geometry Seminar.
Paderborn University, Germany, 22 October 2025
Hereditary rings and metric completions of their derived categories at
BIREP Seminar.
Bielefeld University, Germany, 15 October 2025
Metric completions from finite dimensional algebras at
Maurice Auslander Distinguished Lectures and International Conference.
Woods Hole, Massachusetts, USA, 23-28 April 2025
Continuous functors between triangulated categories with metrics at
Algebra Seminar.
Charles University, Prague, Czech Republic, 24 March 2025
Metric completions from finite dimensional algebras at conference
Triangulated Categories in Algebra and Geometry.
Charles University and Czech Academy of Sciences, Prague, Czech Republic, 23-27 September 2024
Teaching
In Autumn semester 2024/2025, I was teaching exercise sessions for Algebra undergraduate course at Aarhus University.
In Spring semester 2023/2024, I was tutoring Mathematical Laboratory (a review session in mathematical analysis and linear algebra for undergraduate students) at Aarhus University.
In Autumn semester 2023/2024, I was teaching exercise sessions for Algebra undergraduate course at Aarhus University.