Lukas Kühne

1. 2023

   Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries

   with Taylor Brysiewicz and Holger Eble.

   Discrete & Computational Geometry, Volume 70, pp. 1356–1377, (2023).

   Publisher arXiv
2. 2023

   Computing the nonfree locus of the moduli space of arrangements and Terao's freeness conjecture

   with Mohamed Barakat.

   Mathematics of Computation, 92 (2023), pp. 1431-1452.

   An extended abstract appeared in the Oberwolfach workshop report 5/2021 and in the Computeralgebra Rundbrief Ausgabe 68.

   Publisher arXiv
3. 2023

   On the geometry of flag Hilbert-Poincaré series for matroids

   with Joshua Maglione.

   Algebraic Combinatorics, 6(3), (2023), pp. 623-638.

   An extended abstract appeared in the proceedings of the conference Formal Power Series and Algebraic Combinatorics (FPSAC 2022).

   Publisher arXiv
4. 2023

   Likelihood Degenerations

   with Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Bernd Sturmfels, and Simon Telen.

   Advances in Mathematics, 414 (2023), Paper No. 108863.

   Publisher arXiv
5. 2023

   Von Staudt Constructions for Skew-Linear and Multilinear Matroids

   with Rudi Pendavingh and Geva Yashfe.

   Combinatorial Theory, 3(1) (2023), Paper No. 16.

   Publisher arXiv
6. 2023

   The Universality of the Resonance Arrangement and its Betti Numbers

   Combinatorica, Volume 43, pp. 277–298, (2023).

   An extended abstract appeared in the proceedings of the conference Formal Power Series and Algebraic Combinatorics (FPSAC 2021).

   Publisher arXiv
7. 2022

   Representability of Matroids by c-Arrangements is Undecidable

   with Geva Yashfe.

   Israel Journal of Mathematics, 252, (2022), pp. 95–147.

   An extended abstract appeared in the proceedings of the conference Formal Power Series and Algebraic Combinatorics (FPSAC 2020).

   Publisher arXiv
8. 2022

   Locally heavy hyperplanes in multiarrangements

   with Takuro Abe.

   Journal of Pure and Applied Algebra, 226(1), (2022) Paper No. 106791.

   Publisher arXiv
9. 2021

   On the generation of rank 3 simple matroids with an application to Terao's freeness conjecture

   with Mohamed Barakat, Reimer Behrends, Christopher Jefferson, and Martin Leuner.

   SIAM Journal of Discrete Mathematics, 35(2), (2021) pp. 1201-1223.

   Publisher arXiv
10. 2018

    Heavy hyperplanes in multiarrangements and their freeness

    with Takuro Abe.

    Journal of Algebraic Combinatorics, 48, (2018), pp. 581–606.

    Publisher arXiv

• Summer term 2026

  • Lecture course on geometry for prospective high school teachers

• Winter term 2025/26

  • Lecture course on discrete mathematics for computer science students

• Summer term 2025

  • Lecture course Elementary Number Theory

• Winter term 2024/25

  • Lecture course on finite reflection groups, hyperplane arrangements, and (oriented) matroids

• Winter term 2023/24

  • Lecture course Linear Algebra 2
  • Research seminar on AI methods in mathematics

• Summer term 2023

  • Lecture course Linear Algebra 1

• Winter term 2022/23

  • Lecture course on discrete mathematics for computer science students
  • Proseminar on graph theory

• Summer term 2022

  • Proseminar on matroid theory

• KOLKOM: Kolloquium über Kombinatorik, Bielefeld, 14-15 November 2025, with B. Baumeister and D. Frettlöh
• Dive into Research: Simpliciality in Arrangements and Matroids, Hannover, 10-28 March 2025, with M. Cuntz and R. Sanyal
• MFO Mini-workshop Alcoved Polytopes in Physics and Optimization, Oberwolfach, 2-7 March 2025, with N. Early, L. Monin and J. Yu
• MaRDI Barcamp on Research Data Management in Mathematics, ZiF in Bielefeld, 4 July 2023, with C. Köhler and T. Krause
• Summer school for high school students, Bielefeld, 12-14 June 2023, with C. Alfes
• Geometry meets Combinatorics in Bielefeld, 5-9 September 2022, with M. Juhnke-Kubitzke, R. Sanyal, and C. Voll
• FOMUS: Foundations of Mathematics: Univalent Foundations and Set Theory, ZiF in Bielefeld, 18-23 July 2016, with B. Grabmayr, D. Kant, D. Sarikaya, and M. Viehstädt

• Priority Program Combinatorial Synergies Annual Conference 2026, September 2026, Frankfurt
• Combinatorial Coworkspace — a session in algebraic and geometric combinatorics, March 2026, Kleinwalsertal
• Northern German Algebraic Geometry Seminar, January 2026, HU Berlin
• Beyond Permutahedra and Associahedra, December 2025, CIRM
• Closing conference on Combinatorial Geometries and Geometric Combinatorics, November 2025, CRM Barcelona
• Arbeitsgemeinschaft: Combinatorial Hodge Theory, October 2025, MFO
• Topology of Arrangements with an Eye to Applications, September 2025, University of Pisa
• New perspectives on hyperplane arrangements, May 2025, Ruhr-Universität Bochum
• Geometry of Arrangements, March 2025, University of Hannover
• Alcoved Polytopes in Physics and Optimization, March 2025, MFO
• Member during the Special Year on Algebraic and Geometric Combinatorics, September—December 2024, IAS Princeton
• Combinatorics, Resurgence and Algebraic Geometry in Quantum Field Theory, August 2024, MPI Bonn
• FPSAC, July 2024, Ruhr-Universität Bochum
• Arrangements, Matroids and Logarithmic Vector Fields, June 2024, MFO
• Combinatorial Coworkspace — a session in algebraic and geometric combinatorics, March 2024, Kleinwalsertal
• Hyperplane Arrangements 2023, December 2023, Rikkyo University, Tokyo
• Moduli and Friends, September 2023, IMAR, Bucharest
• Hodge and K-Theory meets Combinatorics, September 2023, Bernoulli Center, EPFL
• GMZ 60, May 2023, FU Berlin
• Combinatorics, geometry and commutative algebra of hyperplane arrangements, January 2023, Kyushu University, Fukuoka
• Complex and Symplectic Curve Configurations, December 2022, University of Nantes
• Geometry meets Combinatorics in Bielefeld, September 2022, Bielefeld University
• Arrangements in Ticino, June 2022, Locarno
• Combinatorial Coworkspace — a session in algebraic and geometric combinatorics, March 2022, Kleinwalsertal
• Feynman integrals and nonlinear algebra, March 2022, MPI Leipzig
• Computeralgebra-Tagung der Fachgruppe Computeralgebra, March 2022, Munich
• Formal Power Series and Algebraic Combinatorics (FPSAC), January 2022, online
• SIAM Conference on Applied Algebraic Geometry at Texas A&M University, August 2021, online
• Semester Program on Combinatorial Algebraic Geometry, February - May 2021, ICERM, online
• Workshop on Logarithmic Vector Fields and Freeness of Divisors and Arrangements, January 2021, MFO, online
• Workshop on Discrete Geometry at MFO, September 2020, MFO
• Arrangements at Home, August 2020, online
• Formal Power Series and Algebraic Combinatorics (FPSAC), July 2020, online
• Combinatorial Coworkspace — a session in algebraic and geometric combinatorics, March 2020, Kleinwalsertal
• Algebraic Geometry - Varieties, Polyhedra, Computation, October 2019, FU Berlin
• Hyperplane Arrangements and Reflection Groups, September 2019, Leibniz Universität Hannover
• Canadian Discrete and Algorithmic Mathematics Conference, May 2019, Simon Fraser University, Vancouver
• Arrangements at Western, May 2019, Western University, London (ON)
• Spring School and Workshop on Polytopes, March 2019, Ruhr Universität Bochum
• Combinatorial Geometries 2018 at CIRM, September 2018, CIRM
• Summer School - New Perspectives in Hyperplane Arrangements, September 2018, Ruhr Universität Bochum
• High-Dimensional Combinatorics, April 2018, IIAS Jerusalem
• Geometric and Topological Combinatorics, October 2017, MSRI

Miscellaneous programs I participated in: International Summer Science Institute, Deutsche Schülerakademie, Bundeswettbewerb Mathematik and Früheinstieg ins Mathematikstudium.