Martin Winter, PhD
winter@math.tu-berlin.de
I am a mathematician. I am Dirichlet fellow at TU Berlin and member of the Nonlinear Algebra group at the Max-Planck-Institute for Mathematics in the Sciences in Leipzig. I am principal investigator in the priority program “Combinatorial Synergies”.
My research is in discrete geometry, real algebraic geometry, geometric rigidity, semi-definite optimization, spectral graph theory, algebraic combinatorics and low-dimensional topology. Most recently I am studying the Wachspress Geometry of convex polytopes. I am also working on the formalization of discrete geometry (especially polytope theory) in Lean.
Until 2024 I was postdoc at the University of Warwick (UK). I got my PhD from TU Chemnitz (Germany) in 2021.
What’s new
- New preprint “Rigidity of polytopes with edge length and coplanarity constraints” with Matthias Himmelmann and Bernd Schulze. [arXiv]
- I am just coming back from my visit to Torsten Mütze at the University of Kassel. I spoke in their Oberseminar (June 10) on “Adjoint degrees and scissors congruence for polytopes”.
What’s coming
- I am coming for a research visit to the Goethe University Frankfurt visiting Raman Sanyal (June 30 - July 4, 2025). I will speaking in the seminar (June 1) on “Adjoint degrees and scissors congruence for polytopes”.
- I will be at the Annual Conference of the “Combinatorial Synergies” Priority Program at the Leibniz University Hannover (September 3 – 5, 2025)
- I will take part in the first Workshop of the ProofBench Initiative at the Freiberg University (September 22 – October 3).
- I will be at the Chow Lectures at MPI Leipzig (October 6 – 8).
- I plan to come to the 42th Colloquium on Combinatorics at Bielfeld University (November 14 – 15).
Selected publications
- Rigidity, Tensegrity and Reconstruction of Polytopes under Metric Constraints [arXiv, journal]
This paper won the FSEM Post-Doctoral Research Prize 2024 from the University of Warwick - Kalai’s \(3^d\) conjecture for unconditional and locally anti-blocking polytopes [arXiv, journal]
with Raman Sanyal
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