I am a postdoctoral reseracher in the BIREP group at the faculty of mathematics at Bielefeld University.

Among my interests are representation theory, persistence modules, topological data analysis and applications in biology.

Since June 2023 I am a researcher at CRC-TRR 358 in the project of Julia Sauter. Before, 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 masters in Bonn 2019 under supervision of Gustavo Jasso.

Faculty of
Mathematics

Bielefeld University

PO Box 100 131

D-33501
Bielefeld

Tel: +49 521
106-5031

Email: lerch (at math.uni… )

Office: V5-210

A generalised block decomposition theorem (arXiv, February 2024)

Local characterization of block-decomposability for 3-parameter persistence modules (arXiv, with V. Lebovici and S. Oudot, Februrary 2024)

The spectrum of the real line (arXiv, September 2022)

07.02.2024 Ranking with Hodge theory (Bielefeld Seminar High-Dimensional Statistics)

08.11.2023 Representation theory of persistence modules (Bielefeld Seminar Representation Theory)

10.05.2023 Three-parameter persistence modules (Bielefeld Seminar Representation Theory)

05.12.2022 The spectrum of persistence modules (Workshop on interactions between repreesntation theory and topological data analysis, Center for Advanced Studies, Oslo, Norway)

07.10.2022 Topological Data Analysis – Or how to analyse data using category theory (BGTS Doctoral Day 2022, ZiF Bielefeld)

09.08.2022 The spectrum of the real line (icra 2022, Universidad de Buenos Aires)

13.07.2022 The spectrum of the real line (TU Munich Applied Topology Seminar)

20.10.2021 The spectrum of the real line (Bielefeld Seminar Representation Theory)

09.06.2021 Derived localisations of algebras and modules (Bielefeld Seminar Representation Theory)

22.01.2022 Rings with several objects (Bielefeld Seminar Representation Theory)

13.05.2020 Bijections in tau-tilting theory: a selection (Bielefeld Seminar Representation Theory)

July 2023: BIREP summer school 2023 on persistence modules (co-organiser)

June 2023: Artig 2: Algebras and representation theory in Germany, University of Cologne

January 2023: Artig: Algebras and representation theory in Germany, University of Cologne

December 2022: Workshop on interactions between repreesntation theory and topological data analysis, Center for Advanced Studies, Oslo, Norway

September 2022: Representation theory and triangulated categories (University of Paderborn)

September 2022: Andrejewksi Tage 2022 – Quivers, Representations and Physics (University of Cologne).

August 2022: ICRA 2022

June 2022: ATMCS10

September 2019: Hausdorff School on Stability Conditions in Representation theory

https://orcid.org/0000-0002-1910-6169

Applied algebraic topology research network