(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.
