Fritz Grimpen

Research assistant at the Institute for Algebra, Geometry, Topology and their Applications, University of Bremen.

Address
Room MZH 7170
Bibliothekstraße 5
28359 Bremen
Germany
Email address
grimpen@math.uni-bremen.de
Phone
0421 218 63687
ORCID
0000-0003-3754-1954
arXiv
grimpen_f_1
zbMATH
grimpen.fritz

I am a PhD student supervised by Anastasios Stefanou in the Mathematical Foundations of Data Analysis (MGDA) group, which is part of the Institute for Algebra, Geometry, Topology and their Applications at the University of Bremen.

My interests cover combinatorial commutative algebra and methods of relative homological algebra for understanding multigraded modules and associated invariants, in particular those with applications in generalized persistence theory and topological data analysis. In the area of relative homological algebra I work with exact structures that arise from combinatorial changes of rings to construct new homological invariants for persistence modules.

You can find more information about my work and background in my Curriculum Vitae.

Publications

Peer-reviewed articles

  1. and . "On minimal flat-injective presentations over local graded rings". In: Communications in Algebra 54 (), pp. 430–444. DOI: doi:10.1080/00927872.2025.2526106.

Preprints

  1. , , and . "Relative Gröbner bases of modules and applications in persistence theory". Mar. 2026. arXiv: 2603.27149 [math.AC]. Submitted.
  2. and . "Cofiltrations of spanning trees in multiparameter persistent homology". Mar. 2023. arXiv: 2312.00235 [math.AT].

Other publications

  1. and . "Persistence of complements of spanning trees". In: Computational Geometry: Young Researchers Forum 2023. Extended abstract. June 2023.

Teaching

No teaching in winter term 2026/2027.