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Professur Algorithmische und Diskrete Mathematik
Martin Winter

MSc. Martin Winter

Research Fellow at the working group
Algorithmic and Discrete Mathematics
(Prof. Dr. Christoph Helmberg)


 
Address: Technische Universität Chemnitz
Fakultät für Mathematik
Professur Algorithmische und Diskrete Mathematik
09107 Chemnitz
 
Office: Reichenhainer Straße 39
09126 Chemnitz
Room 715 (new: C46.715)
Telephone: 0371 531-34889
Email: martin.winter@mathematik.tu-chemnitz.de

 


Research Interests

  • spectral/algebraic graph theory (especially spectral properties of highly symmetric and highly regular graphs),
  • symmetries of discrete objects (polytopes, graphs, compexes, ...),
  • polytope theory (zonotopes, face-lattices, ...),
  • symmetry groups, point groups, reflection groups, root systems, ...,
  • low-dimensional topology/geometry,
  • real representation theory of finite groups.


Publications & Preprints

  1. T. Jahn and M. Winter.
    Vertex-Facet Assignments for Polytopes (open accessarXiv)
    Contributions to Algebra and Geometry (2020). doi.org/10.1007/s13366-020-00504-9.
  2. M. Winter.
    Geometry and Topology of Symmetric Point Arrangements (linkarXiv)
    Linear Algebra and its Applications (2021), doi.org/10.1016/j.laa.2020.11.017.
  3. M. Winter.
    Classification of Vertex-Transitive Zonotopes (arXiv)
    Preprint, arXiv:1912.10469, December 2019.
  4. M. Winter.
    The Edge-Transitive Polytopes that are not Vertex-Transitive (arXiv)
    Preprint, arXiv:2005.14285, May 2020.
  5. M. Winter.
    Symmetric and Spectral Realizations of Highly Symmetric Graphs (arXiv)
    Preprint, arXiv:2009.01568, September 2020.
  6. M. Winter.
    Eigenpolytopes, Spectral Polytopes and Edge-Transitivity (arXiv)
    Preprint, arXiv:2009.02179, September 2020.


Conferences, Workshops, etc.

2018

  1. South Eastern Graph Theory Workshop (Chemnitz)
  2. FRICO (Chemnitz), Talk: "Spectral Methods for Symmetric Polytopes"
  3. South Eastern Graph Theory Workshop (Freiberg)
  4. Geomtry Day (Dresden)

2019

  1. Polytope Spring School (Bochum), Talk: "Spectral Methods for Symmetric Polytopes"
  2. Summer School on Geometric & Algebraic Combinatorics (GAC, Paris)
  3. Discrete Geometry Day^2 (Budapest), Talk: "Spectral Methods for Symmetric Polytopes" (slides)
  4. South Eastern Graph Theory Workshop (Chemnitz), Talk: "Edge-Transitive Polytopes"
  5. Colloquium on Combiantorics (Kolkom, Paderborn), Talk: "Edge-Transitive Polytopes" (slides)
  6. Geometry Day (Jena), Talk: "Edge-Transitive Polytopes"

2020

  1. Combinatorial Coworkspace (Kleinwalsertal), Talk: "Inscribed Zonotopes and Hyperplane Arrangements with Congruent Chambers" (slides)
  2. DMV Annual Conference (Chemnitz), Talk: "Spectral Graph Theory for Polytopes" (slides)


Teaching

  • winter term 2018/19: Tutorial "Basics of Optimization"
  • winter term 2019/20: Tutorial "Graph Theory"
  • winter term 2020/21: Tutorial "Introduction to Discrete Mathematics"


I am an active user of the StackExchange network (username: M. Winter).
Those are my mathematical profiles:

 

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