Welcome!
I am a postdoctoral researcher working in the group of Robert Weismantel at the Department of Mathematics at the ETH Zürich. Prior to that, I obtained my PhD from the Technische Universität Berlin under the supervision of Martin Henk in 2023. My research interests include Integer Programming, Geometry of Numbers, and Convex/Discrete Geometry. Some topics I have worked on are concerned with special properties of integer programs and polyhedra when the subdeterminants of the integral constraint matrix are bounded.
List of publications
Preprint
- M. Celaya, S. Kuhlmann, and R. Weismantel. On Matrices over a Polynomial Ring with Restricted Subdeterminants to appear at the 25th International Conference on Integer Programming and Combinatorial Optimization (IPCO), 2024
Publications
- S. Kuhlmann. Integer Carathéodory results with bounded multiplicity Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, published online, 2024.
- I. Aliev, M. Henk, M. Hogan, S. Kuhlmann, and T. Oertel. New Bounds for the Integer Carathéodory Rank SIAM Journal on Optimization 34 (1), 190-200, 2024.
- M. Celaya, S. Kuhlmann, J. Paat, and R. Weismantel. Proximity and Flatness Bounds for Linear Integer Optimization Mathematics of Operations Research, published online, 2023.
- M. Henk, S. Kuhlmann, and R. Weismantel. On Lattice Width of Lattice-Free Polyhedra and Height of Hilbert Bases SIAM Journal on Discrete Mathematics 36 (3), 1918-1942, 2022.
- M. Celaya, S. Kuhlmann, J. Paat, and R. Weismantel. Improving the Cook et al. Proximity Bound Given Integral Valued Constraints Proceedings of the 23rd International Conference on Integer Programming and Combinatorial Optimization (IPCO), 84-97, 2022.
Thesis
- S. Kuhlmann. On the Impact of Bounded Minors in Integer Programming at Technische Universität Berlin, published online, 2023