Publications and Preprints

Research

• Geometric inequalities and advances in the Ribe program,

PhD thesis, Princeton University (2019). [ProQuest]

• 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),

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Volume 56, Number 4 (2020), pp. 2621-2639. [Journal] [PDF]

• On extremal sections of subspaces of Lp ,

Discrete & Computational Geometry, Volume 65, Issue 2 (2021), pp. 489-509. [Journal] [PDF]

• Dimension independent Bernstein-Markov inequalities in Gauss space  (with P. Ivanisvili),

Journal of Approximation Theory, Volume 253 (2020), 105377, 20pp. [Journal] [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),

Probability Theory and Related Fields, Volume 178, Issue 1-2 (2020), pp. 235-287. [Journal] [PDF] [Video]

• On Pisier's inequality for UMD targets,

Canadian Mathematical Bulletin, Volume 64, Issue 2 (2021), pp. 282-291. [Journal] [PDF]

• The dimensional Brunn-Minkowski inequality in Gauss space  (with G. Moschidis),

Journal of Functional Analysis, Volume 280, Issue 6 (2021), 108914, 19pp. [Journal] [PDF] [Video]

• Talagrand's influence inequality revisited  (with D. Cordero-Erausquin),

Analysis & PDE, Volume 16, Number 2 (2023), pp. 571-612. [Journal] [PDF] [Video]

• Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces  (with P. Ivanisvili),

Israel Journal of Mathematics, Volume 253, Issue 1 (2023), pp. 469-485. [Journal] [PDF]

• ε-isometric dimension reduction for incompressible subsets of ℓp ,

Discrete & Computational Geometry, Volume 71, Issue 1 (2024), pp. 160-176 (invited paper). A conference version appeared in SoCG 2022. [Journal] [SoCG] [PDF] [Video]

• Learning low-degree functions from a logarithmic number of random queries  (with P. Ivanisvili),

Proceedings of STOC 2022, pp. 203-207. [STOC] [PDF] [Video]

• Average distortion embeddings, nonlinear spectral gaps, and a metric John theorem  (after A. Naor),

Séminaire Bourbaki, Volume 2021/2022,  Exposé 1188. Astérisque, Number 438 (2022), pp. 295-333. [Journal] [PDF] [Video]

• Sharp Rosenthal-type inequalities for mixtures and log-concave variables  (with G. Chasapis and T. Tkocz),

Bulletin of the London Mathematical Society, Volume 55, Issue 3 (2023), pp. 1222-1239. [Journal] [PDF]

• Low-degree learning and the metric entropy of polynomials  (with P. Ivanisvili and L. Streck),

Discrete Analysis (2023), Paper No. 17, 23 pp. [Journal] [PDF] [Video]

• Resilience of cube slicing in ℓp  (with P. Nayar and T. Tkocz),

To appear in Duke Mathematical Journal. [PDF] [Video]

• Distributional stability of the Szarek and Ball inequalities  (with P. Nayar and T. Tkocz),

Mathematische Annalen, Volume 389, Issue 2 (2024), pp. 1161-1185. [Journal] [PDF] [Video]

• Intrinsic dimensional functional inequalities on model spaces  (with Y. Shenfeld),

Journal of Functional Analysis, Volume 286, Issue 7 (2024), 110338, 56 pp. [Journal] [PDF] 

• Discrete logarithmic Sobolev inequalities in Banach spaces  (with D. Cordero-Erausquin),

Journal of the London Mathematical Society, Volume 109, Issue 2 (2024), e12873, 24pp. [Journal] [PDF] [Video]

• On the entropy and information of Gaussian mixtures  (with L. Gavalakis),

Mathematika, Volume 70, Issue 2 (2024), e12246, 19pp. A conference version appeared in ISIT 2024. [Journal] [PDF] 

• Some geometric applications of the discrete heat flow,

Submitted. [PDF] 

• Approximation of polynomials from Walsh tail spaces  (with H. Zhang),

Studia Mathematica, Volume 275, Number 3 (2024), pp. 285-296. [Journal] [PDF] 

Various Notes

• Measure theory (in Greek, 2014). [PDF]

• Metric embeddings and Lipschitz extensions (2015). [PDF]

Organization

Conferences

• Online Summer/Fall School on Discrete Analysis and Complexity of Quantum Algorithms  (October 2021). [Proceedings]

• Special Session on Quantitative Geometry of Transportation Metrics at AMS-SMF-EMS International Meeting, Université de Grenoble-Alpes (July 2022).

• Online Summer/Fall School on Computational Learning Theory and Fourier Analysis (October 2022). [Proceedings]

• Trimester Program on Boolean Analysis in Computer Science, Hausdorff Research Institute for Mathematics (September - December 2024).

  • School on PAC Learning and Boolean Harmonic Analysis, Hausdorff Research Institute for Mathematics (September 2024).

  • Workshop on Analysis and Geometry on Discrete Spaces, Hausdorff Research Institute for Mathematics (October 2024).

• Workshop on Geometric Nonlinear Functional Analysis, Casa Matématica Oaxaca (May 2025).

• Workshop on Metric Embeddings, American Institute of Mathematics and Merkin Center for Pure and Applied Mathematics (July 2025).

Seminar

• Séminaire d'Analyse Fonctionnelle, Institut de Mathématiques de Jussieu, Sorbonne Université (October 2023 - present).