Ansgar

I am a postdoc assistant in the group of Monika Ludwig at TU Vienna. Before that I was a PhD student under the supervision of Martin Henk at TU Berlin. My research interests include

• Convex geometry,

• Geometry of numbers,

• Ehrhart theory,

• Spherical and hyperbolic geometry.

Publications and preprints

• The affine subspace concentration inequality for centered convex bodies jointly with Katharina Eller. preprint. arXiv

• Unimodular valuations beyond Ehrhart jointly with Monika Ludwig and Martin Rubey. preprint. arXiv

• Lattice Reduced and Complete Convex Bodies jointly with Giulia Codenotti. to appear in Journal of the LMS. arXiv

• Polynomial Bounds in Koldobsky’s Discrete Slicing Problem jointly with Martin Henk. Proceedings of the AMS, 152:3063-3074, 2024. arXiv

• Affine Subspace Concentration Conditions jointly with Martin Henk and Christian Kipp. Mathematika, 69(2):458-472, 2023. arXiv

• Interpolating between volume and lattice point enumerator with successive minima jointly with Eduardo Lucas. Monatshefte für Mathematik, 198:717–740, 2022. arXiv

• Bounds on the Lattice Point Enumerator via Slices and Projections jointly with Martin Henk. Discrete and Computational Geometry 2022, 67:895-918. arXiv

Some Talks

• Unimodular valuations beyond Ehrhart Santander Workshop on Geometric and Algebraic Combinatorics, Santander, 2024. slides

• A unimodular theory of reduced and complete convex bodies Young Researchers Conference of the Royal Spanish Mathematical Society, Leon, 2023. slides

• Affine subspace concentration conditions for centered polytopes Probability and Analysis Webinar, online, 2022. slides

• Von einsamen Läufern und verstellter Sicht Tag der Mathematik, Berlin, 2022.

• Slicing problems in the geometry of numbers Combinatorical coworking space, Kleinwalsertal, 2022.

• Shaking a convex body in order to count its lattice points Facets of complexity colloqium, Berlin (online), 2022.

Contact

Address

Institute of Discrete Mathematics and Geometry E104,

Vienna University of Technology,

Wiedner Hauptstraße 8-10,

A-1040 Vienna, Austria.

Email

ansgar.freyer at tuwien.ac.at