Matthias Paulsen

Philipps-Universität Marburg
Fachbereich Mathematik und Informatik
Hans-Meerwein-Straße 6
35032 Marburg
Germany

office: 06D04

email: matthias.paulsen@uni-marburg.de

About me

I am a postdoctoral researcher in the group of Sönke Rollenske at Philipps-Universität Marburg.

I received my PhD under supervision of Stefan Schreieder at Leibniz University Hannover.

Teaching

Summer 2022: Intersection Theory

Research interests

I work in algebraic geometry. My main research interests are:

• Hodge theory
• Algebraic cycles
• Rationality questions

Publications & Preprints

1. On the degree of algebraic cycles on hypersurfaces
   Journal für die Reine und Angewandte Mathematik 790 (2022), p. 137–148
   arXiv DOI
2. The construction problem for Hodge numbers modulo an integer in positive characteristic (with Remy van Dobben de Bruyn)
   Forum of Mathematics, Sigma 8 (2020), e45, p. 1–13
   arXiv DOI
3. The construction problem for Hodge numbers modulo an integer (with Stefan Schreieder)
   Algebra and Number Theory 13 (2019), no. 10, p. 2427–2434
   arXiv DOI
4. On the rationality of quadric surface bundles
   Annales de l'Institut Fourier 71 (2021), no. 1, p. 97–121
   arXiv DOI
5. The Caristi–Kirk Fixed Point Theorem from the point of view of ball spaces (with Franz-Viktor Kuhlmann and Katarzyna Kuhlmann)
   Journal of Fixed Point Theory and Applications 20 (2018), no. 107
   DOI
6. Construction of normal numbers with respect to Generalized Lüroth Series from equidistributed sequences (with Max Aehle)
   Preprint 2015
   arXiv

Theses

• PhD thesis: Hodge theory and algebraic cycles
  Advisor: Stefan Schreieder
  PDF DOI
• Master thesis: Density of Noether–Lefschetz loci and rationality of quadric surface bundles
  Advisor: Stefan Schreieder
  PDF
• Bachelor thesis: Computation of (S,T)-units
  Advisor: Werner Bley
  PDF