Publications
All papers are available at my Google Scholar profile.
Random matrices
Small gaps of GSE (with J. Li and D. Yao)
near completion, available upon request.Determinantal point processes on spheres: multivariate linear statistics (with F. Götze and D. Yao)
submitted to Annals of Probability.Principal minors of GOE (with G. Tian, D. Wei, and D. Yao)
submitted to Annals of Applied Probablity.Large gaps of CUE and GUE (with D. Wei)
submitted to Annals of Probability.Normality of circular β-ensemble (with G. Tian and D. Wei)
Annals of Applied Probability, 33(6B): 5050-5070 (2023).Small gaps of circular β-ensemble (with D. Wei)
Annals of Probability, 49(2): 997-1032 (2021).Small gaps of GOE (with G. Tian and D. Wei)
GAFA, 29 (2019), no. 6, 1794-1827.Spectrum of SYK model (with G. Tian and D. Wei)
Peking Mathematical Journal, 2, 41-70 (2019).Spectrum of SYK model II: Central limit theorem (with G. Tian and D. Wei)
Random Matrices: Theory and Applications, 10(04), 2150037 (2021).Spectrum of SYK model III: Large deviations and concentration of measures (with G. Tian and D. Wei)
Random Matrices: Theory and Applications, 09(02), 2050001 (2020).
Random geometry
Smallest gaps between zeros of stationary Gaussian processes (with D. Yao and F. Götze)
Journal of Functional Analysis, Volume 287, Issue 4, 15 Augest 2024, 100493.Smallest distances between zeros of Gaussian analytic functions (with D. Yao)
submitted to Annals of Probability, 2023.Critical radius and supremum of random waves on Riemannian manifolds (with D. Yao and R. Adler)
near completion, available upon request.Zeros of repeated derivatives of random polynomials (with D. Yao)
Analysis & PDE, 12(6), 1489-1512, 2019.Critical radius and supremum of random spherical harmonics (with R. Adler)
Annals of Probability, 47(2), 1162-1184 (2019).Correlations between zeros and critical points of random analytic functions
Transactions of the AMS, 371(8), 5247-5265 (2019).Critical radius and supremum of random spherical harmonics II (with X. Xu and R. Adler)
Electronic Communications in Probability, 23, paper no. 50, 11 pp. (2018).Conditional expectations of random holomorphic fields on Riemann surfaces
IMRN, 2017(14), 4406-4434.Critical values of Gaussian SU(2) random polynomials (with Z. Wang)
Proceedings of the American Mathematical Society, Vol. 144, No. 2 (February 2016), pp. 487-502.Critical values of random analytic functions on complex manifolds (with S. Zelditch)
Indiana University Mathematics Journal, 63(3), 651-686 (2014).Addendum to "Critical Values of Random Analytic Functions on Complex Manifolds" (with S. Zeditch)
Indiana University Mathematics Journal, Vol. 66, No. 1 (2017), pp. 23-29.Median and mean of the Supremum of L^2 normalized random holomorphic fields (with S. Zelditch)
Journal of Functional Analysis, 266(8), 5085-5107 (2014).Random Riesz energies on compact Kähler manifolds (with S. Zelditch)
Transactions of the AMS, 365(10), 5579-5604 (2013).Large deviations for zeros of P(ϕ)_2 random polynomials (with S. Zelditch)
Journal of Statistical Physics, 143, 619-635 (2011).
Complex geometry and PDEs
Bergman metrics and geodesics in the space of Kähler metrics on principally polarized abelian varieties
Journal of the Institute of Mathematics of Jussieu, 11(1), 1-25 (2012).The global existence and convergence of the Calabi flow on C^n/Z^n+iZ^n (with H. Huang)
Journal of Functional Analysis, 263(4), 1129-1146 (2012).Szasz analytic functions and noncompact Kähler toric manifolds
Journal of Geometric Analysis 22 (1), 107-131.Periodic solutions of Abreu's equation (with G. Szekelyhidi)
Mathematical Research Letters, 18(6), 1271-1279 (2011).