I consider myself an analyst who at the moment does research in the following fields

- Stochastic analysis on manifolds
- Differential geometry
- Random matrices
- Free probability theory
- Operator algebras (in connection with free probability theory and with an eye on random matrix theory).

Here are the papers I have written. Notice that some of them may differ from the published version in formatting and some editing, but the content is the same. Most of the papers posted here are linked to the pdfs posted on the arxiv.

Free functional inequalities on the circle - submitted

Couplings of Brownian motions of deterministic distance in model spaces of constant curvature - with Mihai Pascu

From Girsanov to gradient estimates - with Elton Hsu

Upper bound for the rate of convergence of a second functional in optimal alignment - with Raphael Hause and Henry Matzinger - to appear in Bernoulli

Non-normal limiting distribution for optimal alignment scores of strings in binary alphabets - with Henry Matzinger - accepted with revisions in Journal of Statistical Physics

Refinements of the One Dimensional Free Poincare Inequality (with Christian Houdre)-International Mathematics Research Notices journal - PDF

A refinement of Brascamp-Lieb-Poincare inequality in one dimension - Comptes Rendus Mathematique volume 352, no. 1, January 2014, pp. 55–58

Shy and Fixed-Distance Couplings of Brownian Motions on Riemannian manifolds (with Mihai Pascu) - Stochastic Processes and their applications, vol. 126, issue 2, pages 628-650, 2016

A Stochastic Target Approach to Ricci Flow on Surfaces (with Rob Neel) - Annals of Probability Vol. 44, No. 2, pp1341–1425, 2016

Local Functional Inequalities in One Dimensional Free Probability - Journal of Functional Analysis 246, March 2013, pp 1456-1479

The One Dimensional Free Poincare Inequality (with Michel Ledoux) Transaction of AMS, 365, 2013, pp 4811-4849

Analyticity of Planar Limit of a Matrix Model (with Stavros Garoufalidis) - Annales Henri Poincare, April 2013, Vol. 14, 499-565

Mass Transportation Proofs of Free Functional Inequalities, and Free Poincare Inequalities - (with Michel Ledoux) - Journal of Functional Analysis, 257, 2009, no. 4, 1175-1221

Multiply generated dynamical systems and duality of higher rank graph algebras - (with Iulian Popescu) - Revue Romaine de Mathematique pure et Appliquees - Vol. 3, 2010

Talagrand Inequality for the Semicircular Law and Energy of the Eigenvalues of Beta Ensembles - Math. Research Letters, vol. 14, no. 6, Nov. 2007, pp. 1023-1032

General Tridiagonal Random Matrix Models, Limiting Distributions and Fluctuations - Probability Theory and related Fields, Volume 144, issue 1-2, May 2009, pp. 179-220

Morse Inequalities, a Function Space Integral Approach - Journal of Functional Analysis 235 (2006), no. 1, 1–68, available here from JFA