Research

Publications

1. Random inscribed polytopes in projective geometries (arXiv)

accepted Mathematische Annalen (2021), jointly with Daniel Rosen and Christoph Thäle.

2. Asymptotic normality for random polytopes in non-Euclidean geometries (arXiv)

Transactions of the American Mathematical Society 373 (2020), jointly with Christoph Thäle.

3. Asymptotic normality for random simplices and convex bodies in high dimensions (arXiv)

Proceedings of the American Mathematical Society 149 (2021), jointly with David Alonso-Gutiérrez, Julian Grote, Zakhar Kabluchko, Matthias Reitzner, Christoph Thäle, Beatrice-Helen Vritsiou, Elisabeth M. Werner.

4. Intrinsic and dual volume deviations of convex bodies and polytopes (arXiv)

Int. Math. Res. Not. IMRN (2019), rnz277, jointly with Steven Hoehner and Gil Kur.

5. Spherical centroid bodies (arXiv)

submitted (2019), jointly with Thomas Hack, Peter Pivovarov and Franz Schuster.

6. Flag numbers and floating bodies (arXiv)

Advances in Mathematics 338 (2018), jointly with Carsten Schütt and Elisabeth Werner.

7. Weighted floating bodies and polytopal approximation (arXiv)

Transactions of the American Mathematical Society 370 (2018), jointly with Monika Ludwig and Elisabeth Werner.

8. The floating body in real space forms (arXiv)

Journal of Differential Geometry 110 (2018), jointly with Elisabeth Werner.

9. The spherical convex floating body (arXiv)

Advances in Mathematics 301 (2016), jointly with Elisabeth Werner.

10. Binary operations in spherical convex geometry (arXiv)

Indiana University Mathematics Journal 65 (2016), jointly with Franz Schuster.


Conferences and Workshops

2020

2019


2018


2017