#### Publications

- Classification of angular curvature measures and a proof of the angularity conjecture
[ arXiv ]

- Riemannian curvature measures [ arXiv ]

*Geom. Funct. Anal.*, in press

jointly with J. H. G. Fu

- Integral geometry of exceptional spheres [ arXiv ]

*J. Differential Geom.*, in press

jointly with G. Solanes

- Pull-backs and push-forwards of Crofton distributions [ arXiv ]

An appendix in: Crofton formulas and indefinite signature,*Geom. Funct. Anal.***27**(2017), 489–540

jointly with D. Faifman

- Minkowski valuations and generalized valuations [ arXiv ]

*J. Eur. Math. Soc.*, 20 (2018), 1851–1884

jointly with F. E. Schuster

- Even Minkowski valuations [ arXiv ]

*Amer. J. Math.*137 (2015), 1651–1683

jointly with F. E. Schuster

- Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3 [ arXiv ]

*Calc. Var. Partial Differential Equations*54 (2015), 1767–1791

jointly with J. Abardia

- Integral geometry of unitary area measures [ arXiv ]

*Adv. Math.*263 (2014), 1–44

- The module of unitarily invariant area measures [ arXiv ]

*J. Differential Geom.*96 (2014), 141–182

- On the inverse Klain map [ arXiv ]

*Duke Math. J.*162 (2013), 1895–1922

jointly with L. Parapatits

- GL(n) equivariant Minkowski valuations [ arXiv ]

*Indiana Univ. Math. J.*60 (2011), 1655–1672

- GL(n) contravariant Minkowski valuations [ arXiv ]

*Trans. Amer. Math. Soc.*364 (2012), 815–826

jointly with F. E. Schuster

#### Grants

- 2016: DFG Project
*The Transfer Principle of Integral Geometry and Isoperimetric Inequalities*, (WA 3510/1-1)

#### Ph.D. Students

- since 03/2019: Jakob Henkel
- since 04/2017: Jan Kotrbatý

#### Conference Organization

- Conference on Convex, Discrete and Integral Geometry, FSU Jena, September 16–20, 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

#### Invited talks

- Summer School New Perspectives on Convex Geometry,
*CIEM*, Castro Urdiales, September 3–7, 2018 - Geometry Seminar,
*Courant Institute of Mathematical Sciences*, March 20, 2018 - Geometry Seminar,
*University of Toronto*, March 12, 2018 - Conference on Convex, Discrete and Integral Geometry,
*Banach Center*, Bedlęwo, June 4–9, 2017 - Sächsischer Geometrietag,
*TU Chemnitz*, December 8–9, 2016 - Mathematics colloquium,
*Osnabrück University*, November 16, 2016 - Conference on Convex and Discrete Geometry,
*TU Vienna*, July 4–8, 2016 - Perspectives on Integral Geometry,
*University of Georgia*, May 30–June 4, 2016 - Seminari de Geometria,
*Universitat Autònoma de Barcelona*, January 10, 2016 - 7. Thüringer Geometrietag,
*Friedrich-Schiller-Universität Jena*, December 4–5, 2015 - Asymptotic Geometric Analysis Mini-Symposium,
*Case Western Reserve University*, August 15–16, 2015 - Geometry Seminar,
*University of Georgia*, February 27, 2015 - Workshop on Tensor Valuations in Stochastic Geometry and Imaging,
*Sandbjerg Estate*, September 21–26, 2014 - Conference on Geometry and Dynamics of Finsler Manifolds,
*CIRM*, June 16–20, 2014 - Convex Geometry Seminar,
*TU Wien*, April 3, 2014 - Asymptotic Geometric Analysis Seminar,
*Tel Aviv University*, December 8, 2013 - Conference on Convex Geometry,
*Castro Urdiales*, September 23–27, 2013 - Workshop on Integral Geometry and its Applications,
*MFO*, February 3–9, 2013 - Geometry Seminar,
*University of Georgia*, January 11, 2013 - Workshop on Convex Geometry and its Applications,
*MFO*, December 9–15, 2012 - Erasmus Workshop on Hermitian Integral Geometry,
*Goethe-Universität Frankfurt am Main*, July 17–19, 2012 - Topics in Geometric Analysis seminar,
*Max Planck Institute for Gravitational Physics*, June 11, 2012 - Workshop on Convexity and Asymptotic Geometric Analysis, CRM,
*Université de Montréal*, April 16–20, 2012 - Analysis Seminar,
*ETH Zürich*, February 28, 2012 - Conference on Integral and Convex Geometric Analysis and Related Topics,
*Chern Institute of Mathematics*, December 14–18, 2011 - Conference on Convex and Integral Geometry,
*Goethe-Universität Frankfurt am Main*, September 26–30, 2011 - AG Stochastische Geometrie,
*Karlsruhe Institute of Technology*, July 17, 2011 - Oberseminar Geometrische Analysis,
*Goethe-Universität Frankfurt am Main*, June 14, 2011 - Workshop on Harmonic Analysis in Convex Geometry,
*BIRS*, May 15–20, 2011 - Mini-Workshop on Valuations and Integral Geometry,
*MFO*, January 17–23, 2010