Martin Winter

Dr. Martin Winter is a mathematician currently serving as a Dirichlet Fellow at Technische Universität Berlin and a member of the Nonlinear Algebra group at the Max Planck Institute for Mathematics in the Sciences, Leipzig. He is a principal investigator in the priority program "Combinatorial Synergies".

• Research Interests: Discrete geometry, real algebraic geometry, geometric rigidity, semi-definite optimization, spectral graph theory, algebraic combinatorics, and low-dimensional topology. His recent work focuses on Wachspress Geometry of convex polytopes and formalization of discrete geometry in Lean.
• Education: PhD from TU Chemnitz (Germany) in 2021. Thesis: "Spectral Realizations of Symmetric Graphs, Spectral Polytopes and Edge-Transitivity".
• Key Publications:
  • Rigidity, Tensegrity and Reconstruction of Polytopes under Metric Constraints (2023, IMRN) - won FSEM Post-Doctoral Research Prize 2024
  • Kalai's 3^d Conjecture for Unconditional and Locally Anti-Blocking Polytopes (2024, DCG)
  • The Stress-Flex Conjecture (2024, arXiv)
• Awards:
  • FSEM Post-Doctoral Research Prize 2024 (University of Warwick)
• Teaching: Lecturer on "Polytope Theory" (2022 Winter Term, Taught Course Center network: Bath, Bristol, Imperial, Oxford, Warwick, Swansea).
• Conferences: Regular participant in international workshops and conferences including the "Algebraic Combinatorics" summer school (Leipzig, 2024) and organizer of the "Wachspress Geometry" workshop (Leipzig, 2024).