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University:

University of Michigan - Ann Arbor

Unit:

LSA: Natural Sciences

Department:

Mathematics

Title:

Professor

Short bio:

1995 B.S. KAIST, Korea

1999 Ph.D. Courant Institute of Mathematical Sciences, NYU

2007 Joined the University of Michigan Mathematics faculty

Awards: Sloan Doctoral Dissertation Fellowship, Kurt O. Friedrichs Prize for an outstanding dissertation in mathematics (NYU), AMS Centennial Research Fellowship, Sloan Research Fellowship, CMFT 2005 Award for an Outstanding Young Researcher

Research summary:

My research interests are in analysis, probability and mathematical physics. I have been using analytic tools to study probabilistic models. Some specific models include the eigenvalues of large random matrices, heights of randomly growing interface (melting, wetting, burning), locations of vicious random walkers (random tiling), longest increasing subsequence of random permutations (maximization in random environment), and so on. These models are often "solvable'' explicitly and exhibit remarkable universal behavior. Though the problems are probabilistic, they can be treated by using analytic tools such as complex analysis, asymptotic analysis, functional analysis, potential theory and combinatorics. I am also interested in integrable differential equations and various applications of the above models to statistics and engineering.

Recent publications:

On the average of the Airy process and its time reversal (with Z. Liu) 08/05/2013, 11/20/2013 (revision), 12 pp. PDF Electron. Commun. Probab., 18, no.89, 10pp., 2013.

Circular unitary ensemble with highly oscillatory potential 06/01/2013, 13 pp.

Discrete Toeplitz/Hankel determinants and the width of non-intersecting processes (with Z. Liu) 12/18/2012, 5/16/2013 (revision) 30 pp. PDF. to appear in Int. Math. Res. Not.

Convergence of the two-point function of the stationary TASEP (with P. Ferrari and S. Peche) 8/31/2012, 18 pp.

On a relationship between high rank cases and rank one cases of Hermitian random matrix models with external source (with D. Wang) 7/2/2012, 10/21/2012, 17 pp. to appear in MSRI proceedings on the Random Matrix Theory.