topics

This site gives an overview over the various topics I have worked on and activities I am involved in.

Research

(Click on a tile for more information, slides of talks or publications)

Hyperplane Sections of Polytopes

Intersection bodies and best slices of polytopes.

Lattice Points and Lattice Polytopes

M-convex sets, Ehrhart-polynomials and the Integer Decomposition Property.

Tropical Geometry and Positivity

Tropical positivity, determinantal varieties, and polytropes.

Machine Learning

The geometry of neural networks with piecewise linear activation functions.

Economics and Game Theory

The mathematics of making everybody happy.

Network and Math Communication

(Click on a tile for more information)

WASP

Wallenberg AI, Autonomous Systems and Software Program

Combinatorial and Implicit Approaches to Deep Learning

A DFG Priority Program.

AlToGeLiS

A consortium for Algebra, Topology and Geometry in the Life Sciences.

Outreach

Communicating mathematics to a general audience.