Group
Contact
Most reliable way to reach me: thomas.kahle(at)ovgu.de(pgp-key: 7A4A7D6B)
Mastodon:
@tomkalei@machteburch.social
YouTube: /c/ThomasKahle
Podcast: eigenpod.de
Phone: +49 391 6754857
Snail mail:
Thomas Kahle
OvGU Magdeburg
FMA-IAG
Universitätsplatz 2
39106 Magdeburg
Germany
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
- Thomas Kahle
- Julian Vill, Postdoc since April 2022.
- Elima Shehu, MathCoRe Postdoc since April 2024
- Xiangying Chen, PhD studies in Fall 2020 with MathCore.
- Anna Hofer, PhD studies starting Oct 2024 within Combinatorial Synergies.
Former members
- Tabea Krause, Scientific work group member, Oct. 2023 - Sep. 2024.
- Francesca Lembo, Erasmus visiting MSc student, Summer 2024.
- Philip Dörr, PhD studies, April 2020 - August 2024 within within MathCore. Jointly advised with Claudia Kirch.
- Andreas Kretschmer, PhD studies Fall 2020 - Spring 2024 with MathCore. Jointly advised with Benjamin Nill.
- Marco Lotz, PhD studies since Nov 2019 - August 2024. Jointly advised with Petra Schwer.
- Philipp Korell, Postdoc Oct 2018-Sep2022.
- Niclas Niederdrenk, student research assistent, Nov 2020-Nov 2022.
- Tobias Boege, PhD studies since Oct 2018 - Sep 2021 with MathCore.
- Janike Oldekop, student research assistant, March 2021-Feb 2022.
- Eliana Duarte, MathCore Postdoc since Dec 2017-Sep 2021.
- Finn Wiersig, student research assistant, Feb 2019 - July 2020.
- Lamprini Ananiadi, PhD studies since May 2017 – April 2020 within MathCore.
- Alessandro Oneto, Postdoc (via AvH Foundation), April 2019 - March 2020.
- Frank Röttger, PhD studies, April 2017 – March 2020, jointly advised with Rainer Schwabe within MathCore. Next stop after PhD: MPI-MiS Leipzig.
- Do Trong Hoang, Postdoc visitor via DAAD, April-July 2019.
- Alexandru Iosif, PhD studies, Feb 2016 - Feb 2019.
- Tobias Windisch, PhD, July 2014 - Dec 2016.
- Camilo Sarmiento, post-doc, Oct 2013 - Dec 2015.
- André Wagner, pre-doctoral research guest April+May 2014.
Finished student theses
- 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).