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. 290 (2026) , no. 3, Paper No. 111249
with G. C. Hofstätter and O. Ortega-Moreno
DOI:10.1016/j.jfa.2025.111249
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
Collaborators
Collaborators
Presentations
Presentations
2025
2025
25.11. Invited plenary talk: Convex Geometric Analysis and Stochastic Geometry Seminar
Tianyuan Mathematics Research Center, Kunming, China [link]
06.11. Invited seminar talk: AG Stochastische Geometrie
KIT, Karlsruhe [link]
22.07. Oberseminar Geometrische Analysis
Goethe University Frankfurt [link]
09.07. Invited plenary talk: Focused Workshop on Current Trends in Geometric Valuation Theory
Erdős Center, Budapest [link]
14.03. Workshop: Trends and developments in convex analysis
University of Sevilla [link]
20.01. Analysis and Convex Geometry Week at UniAndes
Universidad de los Andes Colombia, Bogotá [link]
2024
2024
21.11. Internal research seminar
TU Wien [link]
30.07. Poster presentation: XXIII Lluis Santaló School 2024
Universitdad Internacional Menéndez Pelayo, Santander [link]
13.06. Convex Geometry in Florence
Università degli studi Firenze, Florence [link]
14.03. Workshop: High dimensional phenomena: geometric and probabilistic aspects
Hausdorff Research Institute for Mathematics, Bonn [link]
31.01. Invited seminar talk: Oberseminar Geometrische Analysis
Goethe University Frankfurt [link]
25.01. Invited seminar talk: Oberseminar Geometrie
Friedrich Schiller University, Jena [link]
2023
2023
14.12. Internal research seminar
TU Wien [link]
25.09. Poster presentation: Conference on Convex Geometry and Geometric Probability
Paris Lodron University Salzburg [link]
19.09. Meeting of the Austrian Mathematical Society
Karls-Franzens-University & Graz University of Technology, Graz [link]
20.07. Modern valuation theory
Freidrich Schiller University, Jena [link]
06.06. Geometric Valuation Theory -- from convex sets to functions
Instituto de Ciencias Matemáticas, Castro Urdiales [link]
26.01. Internal research seminar
TU Wien [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 Hausdorff 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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