Leo Brauner
Leo Brauner
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I am currently a PostDoc in the group of Andreas Bernig at Goethe University Frankfurt. Before that, I did my PhD under the supervison of Franz Schuster at TU WIen.
My main interests are Convex Geometry, Integral Geometry, and Functional Analysis, with a focus on valuations on convex bodies and geometric inequalities.
Contact: Robert-Mayer-Str. 10, room 819
60325 Frankfurt/Main
+49 69-798-23213
brauner@math.uni-frankfurt.de
Education
Education
10/2021 - 03/2025 PhD under the supervison of Franz Schuster at TU Wien
04/2020 - 10/2021 MSc in Mathematics at TU Wien
10/2016 - 04/2020 BSc in Mathematics at TU Wien
Preprints and publications
Preprints and publications
The Christoffel problem for the disk area measure
with G. C. Hofstätter and O. Ortega-Moreno
arXiv:2508.09800
Mixed Christoffel-Minkowski problems for bodies of revolution
with G. C. Hofstätter and O. Ortega-Moreno
arXiv:2508.09794
The Klain approach to zonal valuations
J. Funct. Anal. (accepted)
with G. C. Hofstätter and O. Ortega-Moreno
arXiv:2410.18651
Lefschetz operators on convex valuations
with G. C. Hofstätter and O. Ortega-Moreno
arXiv:2402.14731
Fixed Points of mean section operators
Trans. Amer. Math. Soc. 378 (2025) no. 1, 159-199
with O. Ortega-Moreno
DOI:10.1090/tran/9270
Presentations
Presentations
2025
2025
Invited talk: Convex Geometric Analysis and Stochastic Geometry Seminar
Tianyuan Mathematics Research Center, Kunming 11/2025Invited seminar talk: AG Stochastische Geometrie
KIT, Karlsruhe 06.11.2025 [link]Oberseminar Geometrische Analysis
Goethe University Frankfurt, 22.07.2025 [link]Focused Workshop on Current Trends in Geometric Valuation Theory
Erdős Center, Budapest 09.07.2025 [link]Workshop: Trends and developments in convex analysis
University of Sevilla, 14.03.2025 [link]Analysis and Convex Geometry Week at UniAndes
Universidad de los Andes Colombia, Bogotá 20.02.2025 [link]
2024
2024
Internal research seminar, TU Wien
Vienna 21.11.2024 [link]Poster presentation: XXIII Lluis Santaló School 2024
Santander 30.07.2024 [link]Convex Geometry in Florence
Università degli studi Firenze, Florence 13.06.2024 [link]Workshop: High dimensional phenomena: geometric and probabilistic aspects, Bonn 14.03.2024 [link]
Invited seminar talk: Oberseminar Geometrische Analysis, Frankfurt 31.01.2024 [link]
Invited seminar talk: Oberseminar Geometrie, Jena 25.01.2024 [link]
2023
2023
Internal research seminar, Vienna 14.12.2023 [link]
Poster presentation: Conference on Convex Geometry and Geometric Probability, Salzburg 25.09.2023 [link]
Meeting of the Austrian Mathematical Society, Graz 19.09.2023 [link]
Modern valuation theory, Jena 20.07.2023 [link]
Geometric Valuation Theory -- from convex sets to functions, Castro Urdiales 06.06.2023 [link]
Internal research seminar, Vienna 26.01.2023 [link]
2024_07_Santander_poster.pdfPoster that I presented at the Conference on Convex Geometry and Geometric Probability, Salzburg 25.09.2023, and XXIII Lluis Santaló School 2024, Santander 30.07.2024,
Video recording of my talk "Lefschetz operators on Minkowski valuations" at the workshop "High dimensional phenomena: geometric and probabilistic aspects" at the Hausdroff Research Institute for Mathematics, Bonn 14.03.2024
Teaching
Teaching
2025 fall exercise class: Lie Groups, Goethe University Frankfurt
2025 spring exercise class: Analysis 1, Goethe University Frankfurt
2024 fall exercise class: Geometric Analysis, TU Wien
2024 spring revision course: Mathematics 1 for mechinical and chemical engineers, TU Wien
2023 fall revision course: Mathematics 2 for mechinical and chemical engineers, TU Wien
as teaching assistant:
as teaching assistant:
2023 spring exercise class: Mathematics 1 for mechinical and chemical engineers, TU Wien
2022 fall exercise class: Mathematics 3 for mechinical engineers, TU Wien
2022 spring exercise class: Mathematics 1 for civil and environmental engineers, TU Wien
2021 spring exercise class: Mathematics 2 for mechinical and chemical engineers, TU Wien
2020 fall exercise class: Mathematics 1 for mechinical and chemical engineers, TU Wien
2019 fall exercise class: Analysis 3, TU Wien
2019 spring exercise class: Analysis 2, TU Wien
exercise class: Mathematics 2 for electrical engineers, TU Wien
2018 fall exercise class: Analysis 1, TU Wien
exercise class: Mathematics 1 for electrical engineers, TU Wien
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