# 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

## Publications

- 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)*, 43-56, 2024 - 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

# Contact information

## Postal address

ETH Zurich**Dr. Stefan Kuhlmann**Department of Mathematics Institute for Operations Research HG G 21.3 Rämistrasse 101 8092 Zurich Switzerland