Andrea Lachmann

A photo of me speaking at the YTM 2022.

I am a PhD student in the topology group at the University of Wuppertal.

My advisors: Prof. Jens Hornbostel, Prof. Marcus Zibrowius

I am a member of the GRK 2240: Algebro-Geometric Methods in Algebra, Arithmetic and Topology located at the universities of Düsseldorf, Wuppertal and Bochum.

Office: G.16.06
Email: lachmann (at) uni-wuppertal.de
Phone: +49 0202 439-3478
Address: Fakultät 4, Mathematik und Informatik
Bergische Universität Wuppertal
Gaußstraße 20
42119 Wuppertal
Germany

Research interests

In the context of my PhD project I work with Chow-Witt groups aka Milnor-Witt cohomology. My goal is to compute these for motivic classifying spaces of certain finite groups.
Currently I am also part of a team project in chromatic homotopy theory, organized via Women in Topology IV, working on computing the (exotic) Picard group of the K(n)-local category for n=p-1.
In addition I am interested in higher categories and algebraic and hermitian K-theory.


Publications and Preprints

The localisation theorem for the K-theory of stable ∞-categories
joint with Fabian Hebestreit and Wolfgang Steimle
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2022). doi.org/10.1017/prm.2023.35