Research interests: Metric geometry, geometric functional analysis, harmonic analysis, probability theory.
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Publications
The dimensional Brunn-Minkowski inequality in Gauss space
– Journal of Functional Analysis
(2021)
280,
108914
(DOI: 10.1016/j.jfa.2020.108914)
Cutoff for the Bernoulli–Laplace urn model with $o(n)$ swaps
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2020)
56,
2621
(DOI: 10.1214/20-AIHP1052)
On Pisier’s inequality for UMD targets
– Canadian Mathematical Bulletin
(2020)
64,
282
(DOI: 10.4153/s0008439520000442)
Polynomial inequalities on the Hamming cube
– Probability Theory and Related Fields
(2020)
178,
235
(DOI: 10.1007/s00440-020-00973-y)
Dimension independent Bernstein-Markov inequalities in Gauss space
– Journal of Approximation Theory
(2020)
253,
105377
(DOI: 10.1016/j.jat.2020.105377)
On Extremal Sections of Subspaces of $L_p$
– Discrete and Computational Geometry
(2019)
65,
489
(DOI: 10.1007/s00454-019-00133-7)
Nonpositive curvature is not coarsely universal
– Inventiones Mathematicae
(2019)
217,
833
(DOI: 10.1007/s00222-019-00878-1)
Gaussian mixtures: Entropy and geometric inequalities
– The Annals of Probability
(2018)
46,
2908
(DOI: 10.1214/17-aop1242)
Sharp comparison of moments and the log-concave moment problem
– Advances in Mathematics
(2018)
334,
389
(DOI: 10.1016/j.aim.2018.06.014)
Topological genericity of nowhere differentiable functions in the disc and polydisc algebras
– Journal of Mathematical Analysis and Applications
(2014)
420,
435
(DOI: 10.1016/j.jmaa.2014.05.062)
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