• Matrix displacement convexity along density flows

Preprint (2023). arXiv. Slides. Video.

• Transportation onto log-Lipschitz perturbations (with Max Fathi and Dan Mikulincer)

Preprint (2023). arXiv. Slides.

• Intrinsic dimensional functional inequalities on model spaces (with Alexandros Eskenazis)

Preprint (2023). arXiv.

• The extremals of Stanley's inequalities for partially ordered sets (with Zhao Yu Ma)

Adv. Math. To appear.  Journal. arXiv. Slides.

• Exact renormalization groups and transportation of measures

Ann. Henri Poincaré (2023). Journal. arXiv. Slides.

• On the Lipschitz properties of transportation along heat flows (with Dan Mikulincer)

     Geom. Aspects of Funct. Anal., Lecture Notes in Mathematics 2327, Springer, pp. 269-290 (2023) . Journal. arXiv. Slides. Video.

• The Brownian transport map (with Dan Mikulincer)

       Preprint (2021). arXiv. Slides. Video.

• The Extremals of the Alexandrov-Fenchel Inequality for Convex Polytopes (with Ramon van Handel)

       Acta Math. 231, 89-204 (2023). Journal. arXiv. Slides.

• Stability of the logarithmic Sobolev inequality via the Föllmer Process (with Ronen Eldan and Joseph Lehec)

     Ann. Inst. H. Poincaré Probab. Statist. Volume 56, Number 3 (2020), 2253 - 2269. Journal. arXiv. 

• Extremals in Minkowski’s Quadratic Inequality (with Ramon van Handel)

     Duke Math. J. 171, 957 - 1027 (2022). Journal. arXiv. Slides.

• Mixed volumes and the Bochner method (with Ramon van Handel)

     Proc. Amer. Math. Soc. 147, 5385 - 5402 (2019). Journal. arXiv.

• The equality cases of the Ehrhard-Borell inequality (with Ramon van Handel)

    Adv. Math. 331, 339 - 386 (2018). Journal. arXiv.