Matthias Paulsen

Matthias Paulsen

École Normale Supérieure
Département de mathématiques et applications
45 Rue d'Ulm
75230 Paris Cedex 05
France

bureau: T19

email: matthias.paulsen@ens.psl.eu

About me

I am a postdoctoral researcher at École Normale Supérieure, hosted by Olivier Benoist and funded by a DFG Walter Benjamin fellowship (grant no. 558829442).

I received my PhD at Leibniz University Hannover, supervised by Stefan Schreieder.

Teaching

Summer 2022: Intersection Theory

Research interests

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

Publications & Preprints

  1. Verbal ideals and unobstructed complex parallelisable nilmanifolds (with Sönke Rollenske and Konstantin Wehler)
    Preprint 2024
    arXiv
  2. On the degree of algebraic cycles on hypersurfaces
    Journal für die Reine und Angewandte Mathematik 790 (2022), p. 137–148
    arXiv DOI
  3. 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
  4. 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
  5. On the rationality of quadric surface bundles
    Annales de l'Institut Fourier 71 (2021), no. 1, p. 97–121
    arXiv DOI
  6. 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
  7. Construction of normal numbers with respect to Generalized Lüroth Series from equidistributed sequences (with Max Aehle)
    Preprint 2015
    arXiv

Theses