Archive of my mathematical work at Bielefeld University — only updated occasionally. My current website is jplerch.eu.
I have moved to Berlin and now work at the Charité – Universitätsmedizin Berlin.
Previously, I was a postdoctoral researcher at the Research Centre for Mathematical Modelling (RCM2) at Bielefeld University in the project “Graph-Laplacians, topology and applications in biology”, joint with Martin Wahl.
Among my interests are representation theory, persistence modules, topological data analysis, statistics and applications in biology.
From June 2023 to May 2024 I was a researcher at CRC-TRR 358 in the project of Julia Sauter. Before that, I was a PhD student under Henning Krause. In November 2023, I received my PhD (Dr. math.) for the thesis “On the representation theory of persistence modules”. Previous to that, I finished my master's in Bonn in 2019 under the supervision of Gustavo Jasso.
Until 2025:
Faculty of Mathematics
Bielefeld University
PO Box 100 131
D-33501 Bielefeld
Office: V5-210
Email: lerch (at math.uni-bielefeld.de)
For current contact details, see jplerch.eu.