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M. Winter

I am a mathematician mostly interested in

  • graph theory, especially algebraic and spectral graph theory applied to highly symmetric graphs,
  • polytope theory, especially realization qestions and highly symmetric polytopes,
  • real representation theory,
  • low-dimensional geometry and topology,
  • reflection groups, root systems, ...
  • everything related to symmetries of discrete objects,
  • ...

See here for my university website.

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26 Why are we interested in permutahedra, associahedra, cyclohedra, …? Jan 9 '20
26 List of long open, elementary problems which are computational in nature Apr 24 '20
20 Extending $\Bbb N$ to a semiring with isomorphic additive and multiplicative structure Jul 16 '17
18 Does minimal degree $n$ imply a $K_n$ minor Jan 31 '20
16 Can every simple polytope be inscribed in a sphere? Oct 2 '20
16 Can the graph of a symmetric polytope have more symmetries than the polytope itself? Oct 2 '18
16 Can I build infinitely many polytopes from only finitely many prescribed facets? Jan 27 '20
15 Can we realize a graph as the skeleton of a polytope that has the same symmetries? Aug 16 '18
14 Mathematical software wish list Jan 26 '18
14 What is the convex hull of the quaternionic symmetries of the 3 dimensional cube? Jan 27 '20
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