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I am a postdoctoral researcher in mathematics at University of Münster, working as part of the research group in Topology. Previously, I worked at Freie Universität Berlin.
My areas of interest include (higher) category theory, (higher) algebra and algebraic theories, topos theory, algebraic K-theory, (geometric) group and representation theory, homotopy theory, (differential) topology, topics related to categorical logic, as well as many surrounding fields.
I have also briefly worked as a data scientist, and I am curious about the fascinating recent developments in machine learning and quantum computing.
Mathematical Writings
Mathematical Writings
A remark on the invariance of K-theory under duality (Preprint, 2026)
Algebraic K-theory of stably compact spaces (Preprint, submitted for publication 2026)
Measure theory via locales (Preprint, submitted for publication 2025)
As a quick summary: Slides from a recent talkAlgebraic K-theory of coherent spaces (Preprint, submitted for publication 2025)
Norm and assembly for additive invariants of finite groups joint with Alex Müller and Holger Reich (in preparation)
Computing the negative K-theory of finite groups of order ≤100 (Preprint)
Group completion via the action ∞-category (Preprint, submitted for publication 2024)
The passage from the integral to the rational group ring in algebraic K-theory (Preprint, submitted for publication and accepted, 2023)
PhD thesis under supervision of Prof. Holger Reich, Freie Universität Berlin. My thesis is centered around the question of understanding the map from the integral to the rational group ring in algebraic K-theory. Graduated November 22, 2021, Summa Cum Laude.
Masters thesis under supervision of Prof. Holger Reich and Prof. Gavril Farkas, Humboldt Universität zu Berlin, 2018
Talks
Talks
"Algebraic K-theory of stably compact spaces" 5.5.2026 @Warwick Algebraic Topology Seminar
"Algebraic K-theory of stably compact spaces" 28.4.2026 @Bonn Topology Group Seminar
"Measure Theory via Locales" 14.4.2026 @7th Workshop on Formal Topology, Venice, Slides
"Group homology and dynamics of disconnected spaces" 23.3.2026 @Topological and Homological Methods in Group Theory 2026, Bielefeld, Slides
"Algebraic K-theory of stably compact spaces" 27.2.2026 @TopICS, Radboud Universiteit Nijmegen, Notes
"Verdier and Poincaré Duality for finite spaces" 13.2.2026 @Research Seminar "Polytope und Algebraische Geometrie", FU Berlin, Notes
"What is an ample groupoid?" 21.1.2026 @Universität Münster, Notes
"On Verdier Duality" 15.12.2025 @Universität Osnabrück
"On Verdier Duality" 20.11.2025 @Universität Regensburg, AG Seminar Bunke
"∞-categories" 10.11.2025 @University of Copenhagen, Interactions between homotopy theory and representation theory, Notes
"On Verdier Duality" 3.11.2025 @Universität Münster, Oberseminar Topology, Notes
"Measure theory via locales" 27.10.2025 @University of Bonn ( notes available here )
"Measure theory via locales" 21.10.2025 @Texas Tech Topology and Geometry Seminar (online, notes available here )
"Measure theory without sigma-algebras" 16.10.2025 @Universität Münster Wilhelm Killing Kolloquium
"Algebraic K-theory of coherent spaces" 7.10.2025 @Universität Regensburg Conference Higher Invariants (Gongshow talk)
"Algebraic K-theory of coherent spaces" 8.9.2025 @Universität Hamburg Higher Structures (Gongshow talk)
"A locale-theoretic construction of the Lebesgue measure" 3.5.2025 @ 110th Peripatetic Seminar on Sheaves and Logic , Slides and Notes
"An approach to the Rosenberg conjecture" 10.1.2025 @Interactions between C*-algebraic KK-theory and homotopy theory, Slides
"Norm, assembly and coassembly" 28.10.2024 @Universität Münster, Oberseminar Topology, Notes
"Norm, assembly and coassembly" 10.9.2024 @"Dualizable Categories & Continuous K-Theory", MPIM, Bonn. Slides
"Norm, assembly and coassembly" 14.5.2024 @"From Analysis to Homotopy Theory", Greifswald. Slides
"Rigidity and the Rosenberg Conjecture" 27.4.2024 @33rd NRW Topology Meeting, University of Wuppertal
"Group Completion via the action ∞-category" 15.4.2024 @(∞,n)-Categories and their applications, Utrecht University
"Group completion of E_n - Spaces and infinite products" 8.2.2024, @University Regensburg
Research stay, 4-6.12.2023 @University Copenhagen
"The passage from the integral to the rational group ring in algebraic K-theory" 24.7.2023, @University Regensburg
"The Rosenberg Conjecture through the lens of solidification" 21.7.2023, @Potsdam University Notes
"The map K_0 ZG -> K_0 QG" 2021, @GROOT Summer Seminar 2021
"What is the point of pointless topology?" 2019, @Berlin Mathematical School's "What is...?" Seminar
"What is a topological surface?" 2018, @Berlin Mathematical School's "What is...?" Seminar
Additional Things
Additional Things
Some Lawvere Theories (comments are welcome!)
Analogies between stable categories and C*-algebras (comments are welcome!)
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