Sorbonne Université · IMJ-PRG
Maître de conférences (HDR)
I am a Maître de conférences CN (HDR) at Sorbonne Université, Paris, within the Équipe Analyse Fonctionnelle at the Institut de Mathématiques de Jussieu–Paris Rive Gauche (IMJ-PRG).
My work lies at the intersection of functional and harmonic analysis, asymptotic geometric analysis, algebraic geometry, and spectral theory. Central themes include concentration phenomena in high dimensions, the local theory of Banach spaces, Remez-type inequalities, doubling coverings of algebraic hypersurfaces, spectral properties of quantum systems, nodal domains, and probabilistic methods such as random matrices and Littlewood–Offord theory.
An improved lower bound on the Banach–Mazur distance to the cross-polytope Submitted
High-Dimensional Vandermonde Matrices I: Stability and Geometry Submitted
Lower Bounds on Nodal Domain Widths of Schrödinger Eigenfunctions in Bounded Domains Submitted
Spatial behavior of eigenfunctions on rough domains Submitted
Remez-type inequalities for multilinear polynomials via bounds on sublevel sets Submitted
L∞ bounds for eigenfunctions on rough domains via diophantine problems Submitted
Superscarred quasimodes on flat surfaces with conical singularities Studia Mathematica, 2022
Remez-type inequalities and their applications Research Perspectives CRM Barcelona, Vol. 12, 2021
Doubling coverings via resolution of singularities and preparation Communications in Contemporary Mathematics, 23(2), 2021
Exponential Taylor domination Operator Theory: Advances and Applications, Vol. 280, Birkhäuser, 2020
Doubling chains on complements of algebraic hypersurfaces Journal d'Analyse Mathématique, 140(2):617–636, 2020
Approximating matrices and convex bodies Int. Math. Res. Not. IMRN, 8:2519–2537, 2019
Inverse Littlewood–Offord problems for quasi-norms Discrete & Computational Geometry, 57(1):231–255, 2017
Doubling coverings of algebraic hypersurfaces Pure and Applied Functional Analysis, 2(2):221–241, 2017
(s,p)-valent functions Geometric Aspects of Functional Analysis, Lect. Notes Math. 2169, Springer, 2017
Small ball estimates for quasi-norms Journal of Theoretical Probability, 29(4):1624–1643, 2016
Sampling, metric entropy, and dimensionality reduction SIAM J. Math. Anal., 47(1):786–796, 2015
Vitushkin-type theorems Geometric Aspects of Functional Analysis, Lect. Notes Math. 2116, Springer, 2014
An observation on the Turán–Nazarov inequality Studia Mathematica, 218(1):27–39, 2013
Sparsity and non-Euclidean embeddings Israel Journal of Mathematics, 197(1):329–345, 2013
A simple observation on random matrices with continuous diagonal entries Electronic Communications in Probability, 18(53), 2013
Random embedding of ℓnp into ℓNr Mathematische Annalen, 350(4):953–972, 2011
Kahane–Khinchin type averages Proc. Amer. Math. Soc., 136(10):3639–3645, 2008
Bounds on the concentration function in terms of the Diophantine approximation C. R. Math. Acad. Sci. Paris, 345(9):513–518, 2007
An extension of a Bourgain–Lindenstrauss–Milman inequality Journal of Functional Analysis, 251(2):492–497, 2007
Geometric applications of Chernoff-type estimates Geometric Aspects of Functional Analysis, Lect. Notes Math. 1910, Springer, 2007
Polynomial bounds for large Bernoulli sections of ℓN1 Israel Journal of Mathematics, 156:141–155, 2006
Geometric applications of Chernoff-type estimates and a zigzag approximation for balls Proc. Amer. Math. Soc., 134(6):1735–1742, 2006
Uncertainty Principles
Uncertainty Principles
Random Matrices
Random Matrices and their Applications