Omer Friedland

Maître de conférences (HDR), Sorbonne Université · IMJ-PRG, Analyse Fonctionnelle

Functional analysis · asymptotic geometric analysis · convex geometry · high-dimensional probability · harmonic analysis · spectral theory

Research

My research is in functional analysis and asymptotic geometric analysis, with connections to convex geometry, high-dimensional probability, harmonic analysis, and spectral theory. Current themes include Banach–Mazur geometry, Remez and Turán–Nazarov inequalities, random matrices, doubling coverings, and quantitative questions for eigenfunctions.

Recent preprints

2026

On the Banach–Mazur radius of ℓ_∞ⁿ

O. Friedland, A. Naor, P. Youssef arXiv:2608.21112
2026

A 5/8 Lower Bound on the Banach–Mazur Distance to the Cross-Polytope

O. Friedland arXiv:2608.17743
2026

A Log-Free Lower Bound for the Number of Facets of 0/1-Polytopes

O. Friedland arXiv:2608.17127
2026

A Disk-Growth Remez Principle and a Modular Proof of the Measurable Turán–Nazarov Inequality

O. Friedland arXiv:2606.24823
2026

On the inner radius of the nonvanishing set for eigenfunctions of complex elliptic operators

H. Ueberschär, O. Friedland arXiv:2603.10602
2026

An improved lower bound on the Banach–Mazur distance to the cross-polytope

O. Friedland arXiv:2602.10665
2026

Geometry-Driven Conditioning of Multivariate Vandermonde Matrices in High-Degree Regimes

O. Friedland, Y. Yomdin arXiv:2601.13915
2024

Local ℓ^∞ bounds for eigenfunctions of complex elliptic operators via diophantine problems

O. Friedland, H. Ueberschär arXiv:2407.10665

Publications

2022
Superscarred quasimodes on flat surfaces with conical singularities
O. Friedland, H. Ueberschär · Studia Mathematica (2022)
2021
Remez-Type Inequalities and Their Applications
O. Friedland · Research Perspectives CRM Barcelona, Vol. 12 (2021)
2021
Doubling coverings via resolution of singularities and preparation
R. Cluckers, O. Friedland, Y. Yomdin · Communications in Contemporary Mathematics 23(2) (2021)
2020
Exponential Taylor domination
O. Friedland, G. Goldman, Y. Yomdin · Operator Theory: Advances and Applications, Vol. 280 (2020)
2020
Doubling chains on complements of algebraic hypersurfaces
O. Friedland, Y. Yomdin · Journal d’Analyse Mathématique 140(2):617–636 (2020)
2019
Approximating matrices and convex bodies
O. Friedland, P. Youssef · International Mathematics Research Notices 8:2519–2537 (2019)
2017
Inverse Littlewood–Offord problems for quasi-norms
O. Friedland, O. Giladi, O. Guédon · Discrete & Computational Geometry 57(1):231–255 (2017)
2017
Doubling coverings of algebraic hypersurfaces
O. Friedland, Y. Yomdin · Pure and Applied Functional Analysis 2(2):221–241 (2017)
2017
(s,p)-valent functions
O. Friedland, Y. Yomdin · Geometric Aspects of Functional Analysis, LNM 2169, Springer (2017)
2016
Small ball estimates for quasi-norms
O. Friedland, O. Giladi, O. Guédon · Journal of Theoretical Probability 29(4):1624–1643 (2016)
2015
Sampling, metric entropy, and dimensionality reduction
D. Batenkov, O. Friedland, Y. Yomdin · SIAM Journal on Mathematical Analysis 47(1):786–796 (2015)
2014
Vitushkin-type theorems
O. Friedland, Y. Yomdin · Geometric Aspects of Functional Analysis, LNM 2116, Springer (2014)
2013
An observation on the Turán–Nazarov inequality
O. Friedland, Y. Yomdin · Studia Mathematica 218(1):27–39 (2013)
2013
Sparsity and non-Euclidean embeddings
O. Friedland, O. Guédon · Israel Journal of Mathematics 197(1):329–345 (2013)
2013
A simple observation on random matrices with continuous diagonal entries
O. Friedland, O. Giladi · Electronic Communications in Probability 18(53) (2013)
2011
Random embedding of ℓ_pⁿ into ℓ_r^N
O. Friedland, O. Guédon · Mathematische Annalen 350(4):953–972 (2011)
2008
Kahane–Khinchin type averages
O. Friedland · Proceedings of the American Mathematical Society 136(10):3639–3645 (2008)
2007
Bounds on the concentration function in terms of the Diophantine approximation
O. Friedland, S. Sodin · C. R. Math. Acad. Sci. Paris 345(9):513–518 (2007)
2007
An extension of a Bourgain–Lindenstrauss–Milman inequality
O. Friedland, S. Sodin · Journal of Functional Analysis 251(2):492–497 (2007)
2007
Geometric applications of Chernoff-type estimates
S. Artstein-Avidan, O. Friedland, V. Milman · Geometric Aspects of Functional Analysis, LNM 1910, Springer (2007)
2006
Polynomial bounds for large Bernoulli sections of ℓ₁^N
S. Artstein-Avidan, O. Friedland, V. Milman, S. Sodin · Israel Journal of Mathematics 156:141–155 (2006)
2006
Geometric applications of Chernoff-type estimates and a zigzag approximation for balls
S. Artstein-Avidan, O. Friedland, V. Milman · Proceedings of the American Mathematical Society 134(6):1735–1742 (2006)

Students

2025–present — Léonard Walaszek
2021–2023 — Maud Szusterman (co-direction)
2020–2024 — Yiyu Tang (co-direction)

Selected graduate teaching

Uncertainty Principles — M2, Sorbonne Université (2020–2022)
Random Matrices — M2, Sorbonne Université (2019–2020)
Random Matrices and their Applications — M2, Sorbonne Université (2018–2019)

Contact

omer.friedland@sorbonne-universite.fr

IMJ-PRG · Campus Pierre et Marie Curie · Office 16-26 416

4 place Jussieu, 75252 Paris, France