About Me

I'm a J. L. Doob research assistant professor (postdoc) in the Dept. of Mathematics at the University of Illinois at Urbana-Champaign. I obtained my Ph.D degree in Mathematics at Purdue University in August 2019 under the supervision of Rodrigo Bañuelos. My Curriculum Vitae can be found here.

Contact Information

Research Interest

My research interests lie at the interface of probability and analysis. I am particularly interested in the study of functional and geometric inequalities, stochastic representation of singular integrals and Fourier multipliers, extremal problems for nonlocal operators, and Stein's method.

Papers

- Martingale transforms and the Hardy–Littlewood–Sobolev inequality for semigroups, Potential Anal. 45 (2016), no. 4, 795–807. arXiv preprint
- (with Rodrigo Banuelos) Hardy–Stein identity for non-symmetric Lévy processes and Fourier multipliers, J. Math. Anal. Appl. 480 (2019), no. 1, 123383. arXiv preprint
- (with Emanuel Indrei) Deficit estimates for the logarithmic Sobolev inequality, submitted, arXiv preprint (2018)
- Instability results for the logarithmic Sobolev inequality and its application to related inequalities, submitted, arXiv preprint (2018)
- Quantitative inequalities for the expected lifetime of Brownian motion, To appear Michigan Math. J., arXiv preprint (2019)

**Ph.D Thesis**: Stability for functional and geometric inequalities and a stochastic representation of fractional integrals and nonlocal operators.
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Talks

- Minisymposium at International Conference on Elliptic and Parabolic Problems, Gaeta, Italy, May 2019
- AMS sectional meeting Special session on Stochastic processes, Hartford, April 2019
- Probability seminar, University of Illinois at Urbana–Champaign, April 2019
- Probability seminar, Purdue University, February 2019
- Functional inequalities in Probability, University of Connecticut, November 2018 (short talk session)
- Recent trends in continuous and discrete probability, Georgia Institute of Technology, June 2018 (short talk session)
- Probability seminar, Seoul National University, March 2018
- Probability seminar, Purdue University, September 2017
- Probability seminar, University of Illinois at Urbana–Champaign, March 2017
- Seminar on Stochastic processes, University of Maryland, March 2016 (short talk session)
- Probability seminar, Purdue University, February 2016