Education

2016-2021, City University of Hong Kong, Mathematics, Ph.D

2012-2016, City University of Hong Kong, Computing Mathematics, B.S.

Employment

2024.05-present Shenzhen University, IAS, Assistant Professor

2021.12-2024.05, Fudan University, Postdoctoral Research Fellow

2020.09-2021.12, City University of Hong Kong, Research Assistant

Research Interests

Random matrix theory, asymptotic analysis, special functions, Riemann-Hilbert problem.

Research papers

1.L. Yao, L. Zhang, Asymptotic expansion of the hard-to-soft edge transition, arXiv:2309.06733. (Submitted)

2.D. Dai,L. Yao, Y. Zhai, Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region, Anal. Appl., (2024).

3.L. Yao, L. Zhang, On the gap probability of the tacnode process, Adv. Math., 438(2024), Paper No. 109474, 85 pp.

4.L. Yao, L. Zhang, Asymptotics of the hard edge Pearcey determinant, SIAM J. Math. Anal., 56(2024), no.1, 137–172.

5.D. Dai,L. Yao, The distribution function for the maximal height of N non-intersecting Bessel paths, Ramanujan J., 61(2023), no.1, 111–134.

6.D. Dai,L. Yao, Uniform asymptotics for the discrete Laguerre polynomials, Anal. Appl., 20 (2022), no. 5, 1025–1067.