Dan Dai

Professor of Mathematics

Department of Mathematics

City University of Hong Kong

Hong Kong SAR, China

Email: dandai@cityu.edu.hk
Phone: +852 34425995
Office: Room Y5138, Yeung Building, City University of Hong Kong

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About Me

Hello, I'm Dan Dai (Chinese: 代丹). Welcome to my homepage! I am a professor in the Department of Mathematics at City University of Hong Kong.

I received my BSc from Fudan University in 2002 and PhD from City University of Hong Kong in 2006. Before joining City University, I worked as a postdoctoral fellow at Katholieke Universiteit Leuven, Belgium.

I am interested in problems in analysis and their applications in applied mathematics and mathematical physics. My main research areas include asymptotic analysis, orthogonal polynomials, special functions, integrable systems, random matrix theory, and Riemann-Hilbert problems.

If you are interested in applying for a PhD studentship, please find the application guidelines and details via the following link: [CiytUHK Research Degree Programmes] and [Hong Kong PhD Fellowship Scheme].

Selected Publications

The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution
D. Dai, W.-G. Long, S.-X. Xu, L.-M. Yao, L. Zhang
SIAM Journal on Mathematical Analysis, to appear, (2026). — [arXiv:2501.12679]
On the deformed Pearcey determinant
D. Dai, S.-X. Xu, L. Zhang
Advances in Mathematics, 400 (2022), Paper No. 108291, 64 pp. — [arXiv:2007.12691]
Asymptotics of Fredholm determinant associated with the Pearcey kernel
D. Dai, S.-X. Xu, L. Zhang
Communications in Mathematical Physics, 382 (2021), 1769-1809. — [arXiv:2002.06370]
Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
S.-X. Xu, D. Dai
Communications in Mathematical Physics, 365 (2019), no. 2, 515-567. — [arXiv:1708.06113]
Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure
D. Dai, M.E.H. Ismail, X.-S. Wang
Advances in Mathematics, 343 (2019), 157-192.
Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential
D. Dai, S.-X. Xu, L. Zhang
SIAM Journal on Mathematical Analysis, 50 (2018), no. 2, 2233-2279. — [arXiv:1710.08132]
Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble
S.-X. Xu, D. Dai, Y.-Q. Zhao
Communications in Mathematical Physics, 332 (2014), no. 3, 1257-1296. — [arXiv:1309.4354]
Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight
D. Dai, A.B.J. Kuijlaars
Studies in Applied Mathematics, 122 (2009), no. 1, 29-83.— [arXiv:0804.2564]

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