## Christopher Borger

## Christopher Borger

I am a PhD candidate in the DFG research training group MathCoRe. My supervisors are 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, which is among others motivated by the interpretation as the set of Newton polytopes of a given system of polynomial equations.

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

### Published Articles:

- 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

### Preprints:

- Gennadiy Averkov, Christopher Borger, Ivan Soprunov:
*Inequalities between mixed volumes of convex bodies: volume bounds for the Minkowski sum*, arXiv:2002.03065, submitted to Mathematika - Gennadiy Averkov, Christopher Borger, Ivan Soprunov:
*Classification of triples of lattice polytopes with a given mixed volume,*arXiv:1902.00891, accepted in Discrete & Computational Geometry

### Past Activities:

- December 2-4, 2019: Berlin - Einstein Workshop on Polytopes and Algebraic Geometry
- October 7-11, 2019: Berlin - Opening Conference for the Einstein Semester on Algebraic Geometry, Varieties, Polyhedra, Computation
- September 18-20, 2019: Edinburgh - Lattice polytopes, with a view towards Geometry and Applications
- September 9, 2019: Leipzig - Convexity Day at MPI

- July 9-13, 2019: Bern - poster presentation at SIAM Conference on Applied Algebraic Geometry
- June 24-28, 2019: Paris - talk at Summer School on Geometric and Algebraic Combinatorics
- June 17-21, 2019: Madrid - talk at MEGA 2019
- March 11-15, 2019: Bochum - Spring School and Workshop on Polytopes
- February 18-20, 2019: Leipzig - Graduate Student Meeting on Applied Algebra and Combinatorics at MPI
- November 1-2, 2018: Berlin - Einstein Workshop Algebraic Combinatorics
- October 19-31, 2018: Berlin - Einstein Workshop Geometric and Topological Combinatorics
- July 23 - August 10, 2018: Osaka - talk at Summer School on Lattice Polytopes
- June 5-16, 2018: Barranquilla - talk at ECCO 2018
- March 22-24, 2018: Osnabrück - talk at Graduate Student Meeting on Applied Algebra and Combinatorics
- March 13-16, 2018: Berlin - poster presentation at Einstein Workshop Discrete Geometry and Topology
- March 5-6, 2018: Paderborn - talk at the GDMV2018
- February 19-23, 2018: Stockholm - Mittag-Leffler Workshop on Combinatorics, polytopes and complexity
- February 16, 2018: Stockholm - talk at PhD seminar at Stockholm University
- February 12 - March 4, 2018: Stockholm - research stay with Gabriele Balletti
- September 14-16, 2017: Magdeburg - Workshop Interactions with Lattice Polytopes
- September 3-9, 2017: Lukecin (Poland) - 40th Autumn School in Algebraic Geometry: Binomial Ideals
- June 10, 2017: Berlin - Polynomials and Polytopes