Dr. Dan Dai received his BSc from Fudan University in 2002 and PhD from City University of Hong Kong in 2006. Before joining City University, he worked as a postdoctoral fellow at Katholieke Universiteit Leuven, Belgium. His major research interests include asymptotic analysis, orthogonal polynomials, special functions, integrable systems, random matrix theory, and Riemann-Hilbert problems.

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Research Interests

• Asymptotic Analysis
• Orthogonal Polynomials and Special Functions
• Integrable systems
• Random Matrix Theory
• Riemann-Hilbert Problems

Selected Publications

• D. Dai, S.-X. Xu and L. Zhang,Asymptotics of Fredholm determinant associated with the Pearcey kernel,Communications in Mathematical Physics, 382 (2021), 1769-1809.
• S.-X. Xu and D. Dai,Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system,Communications in Mathematical Physics, 365 (2019), no. 2, 515-567.
• D. Dai, M.E.H. Ismail and X.-S. Wang,Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure,Advances in Mathematics, 343 (2019), 157-192.
• D. Dai, S.-X. Xu and L. Zhang,Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential,SIAM Journal on Mathematical Analysis, 50 (2018), no. 2, 2233-2279.
• S.-X. Xu, D. Dai and Y.-Q. Zhao,Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble,Communications in Mathematical Physics, 332 (2014), no. 3, 1257-1296.
• D. Dai, M.E.H. Ismail and X.-S. Wang,Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems,Constructive Approximation, 40 (2014), no. 1, 61-104.
• Y. Lin, D. Dai and P. Tibboel,Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations,Nonlinearity, 27 (2014), no. 2, 171-186.
• D. Dai and A.B.J. Kuijlaars,Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight,Studies in Applied Mathematics, 122 (2009), no. 1, 29-83.

Last update date : 13 Jan 2022