Group

The research group explores applications of discrete and algebraic methods in biology and statistics, as well as purely mathematical questions. The topics of my supervised theses include:

  • Combinatorial Commutative Algebra
  • Matroid theory
  • Algebraic statistics
  • Computer algebra, e.g. (de)compositions of (binomial) ideals
  • Structural properties of binomial ideals
  • Real roots of multivariate polynomial systems in biology

Current members

Former members

Finished student theses

  • Niclas Niederdrenk, MSc Thesis Gemischte Binomkantenideale (March 2025)
  • Anna Hofer, MSc Thesis Computing injective resolutions of finitely generated modules over semigroup rings (September 2024)
  • Xiangying Chen, PhD Thesis Conditional Erlangen Program (September 2024)
  • Marco Lotz, PhD Thesis Reflection length in infinite non-affine Coxeter groups (August 2024)
  • Philip Dörr, PhD Thesis Extreme value limit theorems in discrete mathematics (August 2024)
  • Andreas Kretschmer, PhD Thesis Enumeration and Sparsity in Algebraic Geometry (February 2022)
  • Jan Lilienblum, BSc Thesis Hurwitzvervollständigung von Matrizen (Nov 2022)
  • Tim Siewert, BSc Thesis Der Satz von Abel-Ruffini (Sep 2022)
  • Anna Hofer, BSc Thesis Das Upper-Bound-Theorem für simpliziale Sphären (Mai 2022)
  • Tobias Boege, PhD Thesis The Gaussian conditional independence inference problem (April 2022)
  • Janike Oldekop, MSc Thesis Multistationäre Regionen chemischer Reaktionsnetzwerke (March 2022)
  • Niclas Niederdrenk, BSc Thesis Kurze Polynome in Idealen (December 2021)
  • Arian Görges, BSc Thesis Über fein graduierbare Algebren und ihre Präsentationen (December 2021)
  • Max Jenke, BSc Thesis Färbbarkeit von Graphen (September 2020)
  • Finn Wiersig, BSc Thesis Sparse polynomials in polynomial ideals (June 2020)
  • Lamprini Ananiadi, PhD Thesis Symmetry in toric geometry (May 2020)
  • Frank Röttger, PhD Thesis Geometry of optimal design and limit theorems (March 2020)
  • Jonathan Irmscher, BSc Thesis On minors of symmetric matrices (Dec 2019)
  • Janike Oldekop, BSc Thesis Markov-Modelle für die Ansammlung von Mutationen (March 2019)
  • Alexandru Iosif, PhD Thesis Algebraic Methods for the Study of Multistationarity in Mass-Action Networks (2019)
  • Jörn Papenbroock, Komplexe Realisierbarkeit von 5-Gaussoiden (January 2019)
  • Jonas Krüsemann, MSc Thesis Betti Numbers of Binomial Edge Ideals of Cographs (OvGU Magdeburg, December 2018)
  • Tobias Boege, MSc Thesis Construction Methods for Gaussoids (OvGU Magdeburg, September 2018)
  • Jonas Schulze, BSc Thesis On the Complexity of Solving Systems of Polynomial Equations Using Homotopy Continuation (OvGU Magdeburg, January 2018)
  • Sebastian Cordes, BSc Thesis Die Resultante und ihre Eigenschaften (OvGU Magdeburg, October 2017)
  • Philipp Meissner, MSc Thesis Lösbarkeit von polynomiellen Ungleichungssystemen und ihre Anwendungen (OvGU Magdeburg, January 2017)
  • Tobias Windisch, PhD Thesis Fiber graphs (OvGU Magdeburg, 2016, summa cum laude)
  • Tobias Boege, BSc Thesis On permutations with decidable cycles (OvGU Magdeburg, 2016)
  • Lena-Kati Scharnhorst, summer internship on 3d printing, August 2015
  • André Wagner, MSc Thesis Toric Fiber Products of Veronese Varieties (TU München, 2014)