Christopher Borger

Vita

Until May 2021, I was a postdoctoral researcher in the DFG research training group MathCoRe, where I also did my PhD under the supervision of Benjamin Nill and Gennadiy Averkov. My research focuses mainly on the different aspects of lattice polytopes, in particular on the investigation of mixed invariants of tuples of lattice polytopes. One central motivation for this is to understand sparsity structures in systems of polynomial equations and to be able to exploit them in algorithms.

Before that I did my bachelor's and master's degree at the Technical University Munich.

Publications

PhD Thesis:

  • Mixed Lattice Polytope Theory with a View towards Sparse Polynomial Systems, view

Preprints:

  • Christopher Borger, Thomas Kahle, Andreas Kretschmer, Sebastian Sager, Jonas Schulze: Liftings of polynomial systems decreasing the mixed volume, arXiv:2105.10714

Published Articles:

  • Gennadiy Averkov, Christopher Borger, Ivan Soprunov: Classification of triples of lattice polytopes with a given mixed volume, Discrete & Computational Geometry (2020), view
  • Gennadiy Averkov, Christopher Borger, Ivan Soprunov: Inequalities between mixed volumes of convex bodies: volume bounds for the Minkowski sum, Mathematika (Volume 66, Issue 4, October 2020), arXiv:2002.03065
  • Christopher Borger, Benjamin Nill: On defectivity of families of full-dimensional point configurations, Proceedings of the AMS, Series B (Volume 7, 2020), view
  • Gabriele Balletti, Christopher Borger: Families of lattice polytopes of mixed degree one, Journal of Combinatorial Theory, Series A (Volume 173, July 2020), arXiv:1904.01343
Activities

Activities:

Letzte Änderung: 21.04.2020 - Ansprechpartner: Webmaster