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