(I have moved to 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, 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
Local characterization of block-decomposability for multiparameter persistence modules (arXiv, June 2024, Under review.)
The spectrum of the real line (arXiv, September 2022, Under review.)
09.10.2024 Decomposition of generalised block modules (EPFL Topology Seminar)
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 representation 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)
August 2024: Spires 2024, University of Oxford, UK
May 2024: AltoGelis 2024, Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG), Dresden
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