mathematics

My current research focuses around the Pontryagin-Thom construction on finite-dimensional and infinite-dimensional manifolds. This area fascinates me as it brings various branches of mathematics harmoniously together such as algebraic topology, differential topology, differential geometry and functional analysis.

publications

• A geometric computation of cohomotopy groups in co-degree one (to appear in: Algebr. Geom. Topol.)
  with T.O. Rot
  arXiv doi: 10.48550/arXiv.2307.03805

theses

• Characteristic classes in computer algebra
  master thesis under supervision of Christian Bär
  arXiv doi: 10.48550/arXiv.2006.13788

slides

• A geometric computation of cohomotopy groups in co-degree one
  last updated: July 15, 2023
  held in: Bochum (May 2023), Marburg (June 2023), nutshell (July 2023)

conferences

• Young Topologists Meeting 2024
  Münster, August 05–09, 2024
• Masterclass: Homotopical Methods in Manifold Theory
  Copenhagen, April 15–19, 2024
• Contact And Symplectic Topology
  Bochum, February 8–10, 2024
• Geometry and Quantum Theory: Graduate School and Conference
  Nijmegen, August 28 – September 01, 2023
• Young Topologists Meeting 2023
  Lausanne, July 24–28, 2023
• Nederlands Mathematisch Congress 2023
  Utrecht, April 11–12, 2023
• Spring school on algebraic topology and field theories
  Utrecht, May 16–20, 2022

misc

• Classification of cohomotopy sets for non-orientable manifolds in co-degree 1
  poster presentation at NMC 2023
• Some calculations on chiral anomalies using an index theorem
  project work at University of Potsdam, 2019