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 Mathematical Programming, Convex/Discrete Geometry, and Combinatorics. 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
Preprints
- S. Kuhlmann and R. Weismantel. A Threshold Phenomenon for the Shortest Lattice Vector Problem in the Infinity Norm, 2025.
- S. Kuhlmann, T. Oertel, and R. Weismantel. Sparse Approximation in Lattices and Semigroups, submitted, extended abstract appeared at IPCO 2025 (see below), 2025.
Publications
- S. Kuhlmann, T. Oertel, and R. Weismantel. Sparse Approximation in Lattices and Semigroups, Proceedings of the 26th International Conference on Integer Programming and Combinatorial Optimization (IPCO), 2025.
- S. Kuhlmann. Integer Carathéodory results with bounded multiplicity, Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, 2025.
- M. Celaya, S. Kuhlmann, and R. Weismantel. On Matrices over a Polynomial Ring with Restricted Subdeterminants, Proceedings of the 25th International Conference on Integer Programming and Combinatorial Optimization (IPCO), 2024.
- I. Aliev, M. Henk, M. Hogan, S. Kuhlmann, and T. Oertel. New Bounds for the Integer Carathéodory Rank, SIAM Journal on Optimization, 2024.
- M. Celaya, S. Kuhlmann, J. Paat, and R. Weismantel. Proximity and Flatness Bounds for Linear Integer Optimization, Mathematics of Operations Research, 2024.
- M. Henk, S. Kuhlmann, and R. Weismantel. On Lattice Width of Lattice-Free Polyhedra and Height of Hilbert Bases, SIAM Journal on Discrete Mathematics, 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), 2022.
Thesis
- S. Kuhlmann. On the Impact of Bounded Minors in Integer Programming, at Technische Universität Berlin, published online, 2023