Publications
Below are some of my research articles. Click
here for a list of my papers in reverse chronological order.
- Hard Lefschetz theorem and Hodge–Riemann relations for convex valuations, with A. Bernig and J. Kotrbatý
Ann. of Math. (2), in press.
- The Weyl tube theorem for Kähler manifolds, with A. Bernig, J. H. G. Fu, and G. Solanes
Geom. Topol. 30 (2026), 2713–2772.
- The Fourier transform on valuations is the Fourier transform, with D. Faifman
J. Funct. Anal. 288 (2025), no. 3, Paper No. 110741, 42 pp.
- Riemannian curvature measures, with J. H. G. Fu
Geom. Funct. Anal. 29 (2019), 343–381.
- Integral geometry of unitary area measures
Adv. Math. 263 (2014), 1–44.
Grants
Awards and honors
- 2026: Paolo Gronchi Prize, Unione Matematica Italiana
- 2018: Edmund and Rosa Hlawka Prize for Mathematics, Austrian Academy of Sciences
- 2013: Promotio sub auspiciis Praesidentis rei publicae (Austria's highest distinction for outstanding achievement throughout secondary school and university)
Conference organization
- Prague Conference on Convex Geometry, Charles University, Czechia, August 24–28, 2026
- Interactions between convex geometry and spectral analysis, ISM summer school, Université de Montréal, Canada, July 28 – August 1, 2025
- Seminar on the log-Brunn–Minkowski conjecture, Podebradý, Czechia, February 12–14, 2025
- Positivity and Inequalities in Convex and Complex Geometry, Oberwolfach Mini-Workshop, October 29–November 3, 2023
- Conference on Convex, Discrete and Integral Geometry, FSU Jena, September 16–20, 2019
- Convexity Day, Max Planck Institute for Mathematics in the Sciences, September 9, 2019
- Parallel workshop on Convex and Integral Geometry at
Differential Geometry and its Applications, Hradec Králové, September 1–7, 2019
- Conference on Convex and Integral Geometry, Goethe-Universität Frankfurt am Main, September 25–29, 2017
- Workshop on Integral Geometry and Valuation Theory, ETH Zürich, June 17–19, 2015
Editorial work
- since 2023: Editorial board, Beiträge zur Algebra und Geometrie
Invited talks
Below are my invited talks from recent years. Click
here for a complete list of my talks in reverse chronological order.
- Algebraic aspects of metric and integral geometry, Bernoulli Center, Lausanne, March 2–20, 2026
- Combinatorial Synergies East, MPI for Mathematics in the Sciences, Leipzig, March 19–21, 2025
- Workshop on Convex Geometry and its Applications, MFO, December 15–20, 2024
- Lluis Santaló School "Convex Geometry, Differential Geometry and Harmonic Analysis: Building Synergies", Santander, Spain, July 29 – August 2, 2024
- Oberseminar Differentialgeometrie, Max Planck Institute for Mathematics, Bonn, April 18, 2024
- Geometry Seminar, Shaanxi Normal University, September 19, 2023
- INdAM meeting: Convex Geometry - analytic aspects, Cortona, June 26–30, 2023
- Salzburg Mathematics Colloquium, Paris Lodron Universität Salzburg, May 9, 2023
- Asymptotic Geometric Analysis Seminar, Tel Aviv University, March 19, 2023
- Workshop on Stochastic Geometry, Osnabrück University, November 23–25, 2022
- Workshop on Integral and Metric Geometry, BIRS-CMO, May 1–6, 2022
- Workshop on Convex Geometry and its Applications, MFO, December 12–17, 2021
- Stochastic Geometry Seminar, Charles University, Prague, December 7, 2021
- Conference on Convex, Integral and Stochastic Geometry, Bad Herrenalb (Black Forest), 5–10 September 2021
- Seminar, University of Ioannina, May 5, 2021
- Convex Geometry Seminar, TU Wien, January 28, 2021
- Oberseminar Differentialgeometrie, Max Planck Institute for Mathematics, Bonn, December 12, 2020
