Homepage of Lukas Kühne

I am a postdoctoral researcher in the Nonlinear Algebra group of Bernd Sturmfels at the Max Planck Institute of Mathematics in the Sciences in Leipzig.
Previously, I was a PhD student in mathematics at Hebrew Universiy of Jerusalem where my advisor was Karim Adiprasito.
Here is my CV.

Contact information

lukas DOT kuhne AT mis DOT mpg DOT de
Office F3 06
Max Planck Institute for Mathematics in the Sciences
Inselstraße 22
04103 Leipzig, Germany

Research interests

I work at the intersection of combinatorics and algebra. My current research interests include freeness of hyperplane arrangements, matroid representations, asymptotics of matroids, supersolvable lattices and the generation of matroids. I enjoy using and developing computer algebra tools as part of my research.

Writing

In preparation

Preprints

Published

Software

In joint work with Mohamed Barakat I wrote the GAP package MatroidGeneration to create an ArangoDB database of all rank 3 matroids up to size 14 whose characteristic polynomial factors over the integer.
These matroids are among others relevant in the study of free or supersolvable hyperplane arrangements. Feel free to try it and contact us for questions, suggestions or feedback.

Previously, I worked at the Research Insitute for Discrete Mathematics in Bonn to develop and apply tools from combinatorial optimization in a a chip design project in cooperation with IBM.

Travel

A list of conferences where I have been/expect to be.

Teaching

In 2014 and 2015, I held tutorials for the lectures Linear Algebra I and Analysis II in Bonn. From 2012 to 2014, I gave tutorials in Kaiserslautern for the lectures Fundamentals of Mathematics I and II, Algebraic Structures and Elementary Number Theory.
I gave summer courses for gifted high school students at the German Pupils Academy (Deutsche Schülerakademie) on linear optimization (2016 and 2018) and topological data analysis (2019).

Other

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

My PhD studies are funded by the Minerva Stiftung and the Studienstiftung des deutschen Volkes.