Alexandros Eskenazis | Homepage
ALEXANDROS ESKENAZIS
Institut de Mathématiques de Jussieu, Sorbonne Université

I am an FSMP postdoctoral fellow at the Equipe d'Analyse Fonctionnelle of Institut de Mathématiques de Jussieu. My mentor is Gilles Pisier. I am also a junior research fellow (on leave) at Trinity College, Cambridge. I am interested in metric geometry, geometric functional analysis and probability theory.

Prior to joining Sorbonne Université, I received a PhD from the Mathematics Department of Princeton University, where I worked under the supervision of Assaf Naor, and a BA in Mathematics from the University of Athens, Greece.

Here is my CV.

PUBLICATIONS AND PREPRINTS

Research
• Geometric inequalities and advances in the Ribe program,
PhD thesis, Princeton University (2019).

• Topological genericity of nowhere differentiable functions in the disc algebra,
Archiv der Mathematik, Volume 103, Issue 1 (2014), pp. 85-92. [Journal] [PDF]
• Topological genericity of nowhere differentiable functions in the disc and polydisc algebras (with K. Makridis),
Journal of Mathematical Analysis and Applications, Volume 420, Issue 1 (2014), pp. 435-446. [Journal] [PDF]
• Gaussian mixtures: entropy and geometric inequalities (with P. Nayar and T. Tkocz),
Annals of Probability, Volume 46, Number 5 (2018), pp. 2908-2945. [Journal] [PDF]
• Sharp comparison of moments and the log-concave moment problem (with P. Nayar and T. Tkocz),
Advances in Mathematics, Volume 334 (2018), pp. 389-416. [Journal] [PDF]
• Cutoff for the Bernoulli-Laplace urn model with $$o(n)$$ swaps (with E. Nestoridi),
Submitted. [PDF]
• On extremal sections of subspaces of $$L_p$$,
To appear in Discrete & Computational Geometry. [Journal] [PDF]
• Dimension independent Bernstein-Markov inequalities in Gauss space (with P. Ivanisvili),
Submitted. [PDF]
• Nonpositive curvature is not coarsely universal (with M. Mendel and A. Naor),
Inventiones Mathematicae, Volume 217, Issue 3 (2019), pp. 833-886. [Journal] [PDF]
• Polynomial inequalities on the Hamming cube (with P. Ivanisvili),
Submitted. [PDF]
• On coarse and uniform embeddings into $$L_p$$ (with A. Naor),
Preprint.
• Diamond convexity: a bifurcation in the Ribe program (with M. Mendel and A. Naor),
Preprint.
• Discrete Littlewood-Paley-Stein theory and Pisier's inequality for superreflexive targets (with A. Naor),
Preprint.

Various notes
• Measure theory (in Greek, 2014). [PDF]
• Metric embeddings and Lipschitz extensions (2015). [PDF]

 Office: 16-26.409 Institut de Mathématiques de Jussieu Sorbonne Université 4, place Jussieu 75252 Paris Cedex 05, France alexandros.eskenazis(@-symbol)imj-prg.fr ae466(@-symbol)cam.ac.uk