Publications & Talks

Publications and talks by Jan-Paul Lerch. My research connects representation theory, topological data analysis and statistics with applications in the life sciences.

Publications

Authors of joint mathematics papers are listed alphabetically.

• Local Characterization of Block-Decomposability for Multiparameter Persistence Modules

  Lebovici, Vadim; Lerch, Jan-Paul; Oudot, Steve — Homology, Homotopy and Applications 28(1), 175–196

  doiarXiv
  2026
• Middle-Throughput LC-MS-Based Platelet Proteomics with Minute Sample Amounts Using Semiautomated Positive Pressure FASP in 384-Well Format

  Loroch, Stefan; Panagiotidis, Eleftherios; Klewe, Kristoffer; Swieringa, Frauke; Heemskerk, Johan W. M.; Lerch, Jan-Paul; Greinacher, Andreas; Walter, Ulrich; Jurk, Kerstin; John, Tobias; Barkovits, Katalin; Dandekar, Thomas; Marcus, Katrin; Balkenhol, Johannes — Thrombosis and Haemostasis 126(4), 394–404

  doi
  2026
• The Spectrum of the Real Line

  Lerch, Jan-Paul — Journal of Pure and Applied Algebra 229(6)

  doiarXiv
  2025
• On Empirical Hodge Laplacians under the Manifold Hypothesis

  Lerch, Jan-Paul; Wahl, Martin

  arXiv
  2025
• On the Representation Theory of Persistence Modules

  Lerch, Jan-Paul — Universität Bielefeld

  doi
  2023

Talks

• Physics informed diffusion models

  TU Berlin Seminar: Mathematics of Machine Learning · Berlin, Germany
  2026
• TBase extractor – use cases ADTKD

  Charité Nephrology Seminar, Halbritter Lab · Berlin, Germany
  2025
• Riemannian score-based generative models

  TU Berlin Seminar: Mathematics of Machine Learning · Berlin, Germany
  2025
• Decomposition of generalised block modules

  EPFL Topology Seminar · Lausanne, Switzerland
  2024
• Ranking with Hodge theory

  Topics in High-Dimensional Statistics, Bielefeld University · Bielefeld, Germany
  2024
• Representation theory of persistence modules

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2023
• Three-parameter persistence modules

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2023
• The spectrum of persistence modules

  Workshop on Interactions between Representation Theory and Topological Data Analysis · Oslo, Norway
  2022
• Auslander-Reiten theory for continuous quivers of type A

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2022
• Topological Data Analysis – Or how to analyse data using category theory

  BGTS Doctoral Day, ZiF · Bielefeld, Germany
  2022
• The spectrum of the real line

  ICRA 2022 (20th International Conference on Representations of Algebras) · Buenos Aires, Argentina
  2022
• The spectrum of the real line

  Applied topology seminar, TU Munich · Munich, Germany
  2022
• The spectrum of the real line

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2021
• Derived localisations of algebras and modules

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2021
• Rings with several objects

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2021
• Bijections in τ-tilting theory: a selection

  Seminar Representation Theory, Universität Bielefeld · Bielefeld, Germany
  2020