Georg Lehner
I am a Postdoc in mathematics at Freie Universität Berlin, working as part of the research group "Algebraic Topology". My current area of focus is algebraic K-theory of group rings and the Farrell-Jones conjecture. In a broader sense my interests are everything related to group and representation theory, homotopy theory, higher category theory, differential topology, topos theory and matters related to categorical logic.
I have also briefly worked as a data scientist and I am curious about the fascinating recent developments in machine learning and quantum computing.
Email: lehner.georg (at) fu-berlin.de
My stackexchange / mathoverflow profile
Email: lehner.georg (at) fu-berlin.de
My stackexchange / mathoverflow profile
Mathematical Writings
The passage from the integral to the rational group ring in algebraic K-theory 2021.
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 given
"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