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

Email: daesungk (at) illinois.edu

Office: 247B Illini Hall

Office: 247B Illini Hall

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, and extremal problems for nonlocal operators.

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)

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