Rotem Assouline
I am currently an FSMP postdoctoral fellow at the Equipe Analyse Fonctionnelle, Institut de Mathématiques de Jussieu - Paris Rive Gauche.
Before that, I was a graduate student at the Weizmann Institute of Science under the supervision of prof. Bo'az Klartag.
My research interests lie at the intersection of differential geometry, optimal transport theory and convex geometry. Currently, I am working on displacement convexity in optimal transport with general Lagrangian costs.
Curriculum Vitae
Publications
Illumination bodies on Riemannian manifolds
With Carsten Schütt and Elisabeth M. Werner
Preprint, arXiv:2606.21112
Preprint, arXiv:2606.21112
Magnetic Brunn-Minkowski inequalities
Preprint, arXiv:2606.08626
Illumination Bodies in Projective Geometries
With Florian Besau and Elisabeth M. Werner
Preprint, arXiv:2605.25122
Preprint, arXiv:2605.25122
Curvature-Dimension for Autonomous Lagrangians
arXiv:2409.08001
Accepted to Geometric Aspects of Functional Analysis: Israel Seminar (GAFA)
Accepted to Geometric Aspects of Functional Analysis: Israel Seminar (GAFA)
A refinement of the Šidák-Khatri inequality and a strong Gaussian correlation conjecture
With Arnon Chor and Shay Sadovsky
Preprint, arXiv:2407.15684
Preprint, arXiv:2407.15684
Brunn-Minkowski inequalities for sprays on surfaces
Journal of Geometric Analysis 34, 339 (2024)
DOI: 10.1007/s12220-024-01792-6
DOI: 10.1007/s12220-024-01792-6
A finiteness principle for distance functions on Riemannian surfaces with Hölder continuous curvature
arXiv:2401.11962
Accepted to Israel Journal of Mathematics
Accepted to Israel Journal of Mathematics
Horocyclic Brunn-Minkowski inequality
With Bo'az Klartag
Advances in Mathematics 436 (2024), Paper No. 109381, 39 pp.
DOI: 10.1016/j.aim.2023.109381
Advances in Mathematics 436 (2024), Paper No. 109381, 39 pp.
DOI: 10.1016/j.aim.2023.109381
Growth Competitions on Spherically-Symmetric Riemannian Manifolds
Analysis and Geometry in Metric Spaces 10 (2022), no.1, 146–154
DOI: 10.1515/agms-2022-0139
DOI: 10.1515/agms-2022-0139
Teaching
Harmonic Analysis
Tel-Aviv University, Spring 2025
Functional Analysis
Tel-Aviv University, Spring 2022
Selected Talks
Geometric Structures Research Seminar, SISSA, Trieste, April 2026
Online AGA Seminar, September 2024
High dimensional phenomena: geometric and probabilistic aspects, HIM, Bonn, Germany, March 2024
Probabilistic Methods in Geometry and Analysis, ICERM, Providence, RI, October 2022
Music
Elef Ton, a song by Alona Haber. I play synth. Produced by Brill.
Derech Ha'Rotem, a song by Alona Haber (not about me), with me on the keys. Produced by Yehu Yaron.
My musical taste on Spotify.