Preprints

Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations [arXiv]
(jointly with A. Bernig and T. Wannerer)

Publications [ORCiD]

Integral geometry on the octonionic plane [arXiv]
Indiana Univ. Math. J., to appear
(jointly with T. Wannerer)
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies [arXiv]
Geom. Funct. Anal. 33 (2023), no. 2, 541–592
(jointly with T. Wannerer)
On mixed Hodge-Riemann relations for translation-invariant valuations and Aleksandrov-Fenchel inequalities [arXiv]
Commun. Contemp. Math. 24 (2022), No. 7, Article ID 2150049
(jointly with T. Wannerer)
On Hodge-Riemann relations for translation-invariant valuations [arXiv]
Adv. Math. 390 (2021), Article ID 107914
Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure [arXiv]
J. Geom. Anal. 30 (2020), No. 4, 3616–3640
Construction of representations of Poincaré group using Lie fields [link]
J. Math. Phys. 59 (2018), No. 2, 021702
(jointly with M. Havlíček, P. Moylan and S. Pošta)

Integral Geometry on the Octonionic Plane [pdf]
PhD Thesis, Friedrich Schiller University Jena, 2020
(Heisenberg-)Weyl algebras, Segal-Bargmann transform and representations of Poincaré groups [link]
J. Phys.: Conf. Ser. 1194 (2019), 012043
(jointly with M. Havlíček, P. Moylan and S. Pošta)
Construction of Representations of Lie Algebras and Lie Fields [pdf]
Diploma Thesis, Czech Technical University in Prague, 2017
Automatic Identification of Low-Dimensional Lie Algebras [pdf]
students' competition work, 2015
Bases for Representations of Lie Algebras [pdf]
Bachelor's Thesis, Czech Technical University in Prague, 2014