Renjie Feng

1. Large gaps of CUE and GUE (with D.Wei)
   Annals of Probability, 53(5): 1668-1702 (2025).
2. Smallest distances between zeros of Gaussian analytic functions (with D. Yao)
   to appear in Advances in Mathematics, 2026+.
3. Critical radii and suprema of random waves over Riemannian manifolds (with D. Yao and R. Adler)
   arXiv:2501.10798, submitted, 2025.
4. Smallest gaps between zeros of stationary Gaussian processes (with D. Yao and F. Götze)
   Journal of Functional Analysis, Volume 287, Issue 4, 15 August 2024, 110493.
5. Small gaps of GSE (with J. Li and D. Yao)
   arXiv:2409.03324, submitted.
6. Determinantal point processes on spheres: multivariate linear statistics (with F. Götze and D. Yao)
   submitted, arXiv:2301.09216, 2023.
7. U-statistics of infinite Ginibre ensemble and Wiener chaos (with D. Yao)
   preprint.
8. Principal minors of Gaussian orthogonal ensemble (with G. Tian, D. Wei, and D. Yao)
   Forum Mathematicum, vol. 38, no. 4, 2026, pp. 1187-1209.
9. The Berry-Esseen theorem for circular β-ensemble (with G. Tian and D. Wei)
   Annals of Applied Probability, 33(6B): 5050-5070 (2023).
10. Small gaps of circular β-ensemble (with D. Wei)
    Annals of Probability, 49(2): 997-1032 (2021).
11. Small gaps of GOE (with G. Tian and D. Wei)
    GAFA, 29 (2019), no. 6, 1794-1827.
12. Spectrum of SYK model (with G. Tian and D. Wei)
    Peking Mathematical Journal, 2, 41-70 (2019).
13. Spectrum of SYK model II: Central limit theorem (with G. Tian and D. Wei)
    Random Matrices: Theory and Applications, 10(04), 2150037 (2021).
14. 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).
15. Zeros of repeated derivatives of random polynomials (with D. Yao)
    Analysis & PDE, 12(6), 1489-1512, 2019.
16. Critical radius and supremum of random spherical harmonics (with R. Adler)
    Annals of Probability, 47(2), 1162-1184 (2019).
17. Correlations between zeros and critical points of random analytic functions
    Transactions of the AMS, 371(8), 5247-5265 (2019).
18. 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).
19. Conditional expectations of random holomorphic fields on Riemann surfaces
    International Mathematics Research Notices, 2017(14), 4406-4434.
20. 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.
21. Critical values of random analytic functions on complex manifolds (with S. Zelditch)
    Indiana University Mathematics Journal, 63(3), 651-686 (2014).
22. Addendum to "Critical Values of Random Analytic Functions on Complex Manifolds" (with S. Zelditch)
    Indiana University Mathematics Journal, Vol. 66, No.1 (2017),pp.23-29.
23. Median and mean of the Supremum of L² normalized random holomorphic fields (with S. Zelditch)
    Journal of Functional Analysis, 266(8), 5085-5107 (2014).
24. Random Riesz energies on compact Kähler manifolds (with S. Zelditch)
    Transactions of the AMS, 365(10), 5579-5604 (2013).
25. Large deviations for zeros of P(φ)_2 random polynomials (with S. Zelditch)
    Journal of Statistical Physics, 143, 619-635 (2011).
26. 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).
27. The global existence and convergence of the Calabi flow on ℂⁿ/ ℤⁿ+iℤⁿ (with H. Huang)
    

    Journal of Functional Analysis, 263(4), 1129-1146 (2012).

28. Szasz analytic functions and noncompact Kähler toric manifolds
    Journal of Geometric Analysis, 22 (1), 107-131 (2012).
29. Periodic solutions of Abreu's equation (with G. Szekelyhidi)
    Mathematical Research Letters, 18(6), 1271-1279 (2011).

Seminar and Conference Talks since 2020

• Critical radii and supremum of random waves over Riemannian manifolds
  The Australian National University, September 2025.
• A quick introduction to random matrices and extreme gap problems
  Probability Victoria Seminar, online, May 2025.
• U-statistics for determinantal point processes
  Special session on Probability and Mathematical Statistics, Joint NZMS, AustMS and AMS meeting, Auckland, New Zealand, Dec 2024.
• Extreme gap problems for classical random matrices
  Special session on Integrable Systems, Joint NZMS, AustMS and AMS meeting, Auckland, New Zealand, Dec 2024.
• Gaussian random matrices, orthogonal polynomials, and skew-orthogonal polynomials
  Informal Friday Seminar, University of Sydney, Nov 2024.
• A quick introduction to random matrices and extreme gap problems
  The Australian National University, June, 2024.
• Determinantal point processes on spheres: Multivariate linear statistics
  Stochastic processes seminar, The University of Melbourne, March, 2024.
• Extreme spacings for classical random matrices
  Random matrix theory group seminar, The University of Melbourne, March, 2024.
• A graphical formula for cumulants of multivariate linear statistics of determinantal point processes
  Probability and Mathematical Statistics, 67th Annual Meeting of the Australian Mathematical Society, Dec, 2023.
• Determinantal point processes on spheres: Multivariate linear statistics
  Applied Maths Seminar, The University of Sydney, Oct, 2023.
• A quick introduction to random matrices and extreme gap problems
  SMRI seminar, The University of Sydney, Sep, 2023.
• Determinantal point processes on the sphere
  Research Seminar on Probability and Geometry, Ruhr-Universität Bochum, Germany, May, 2023.
• Determinantal point processes on spheres: Multivariate linear statistics
  Seminar Bielefeld-Melbourne-Seoul Random Matrices (online), March, 2023.
• Our recent results in random matrix theory
  Mathematical Challenges in Quantum Physics, PCTS Workshop, Princeton University, USA, March 2023.
• Determinantal point processes on spheres: Multivariate linear statistics
  Institute of Applied Mathematics, Chinese Academy of Sciences, Feb, 2023.
• Extreme gap problems and the SYK model
  Lille days on Point Processes and stochastic Geometry, Université de Lille, France, Oct, 2022.
• Extreme gap problems for classical random matrices
  MPI-Oberseminar, Max Planck Institute for Mathematics, Germany, Aug, 2022.
• Extreme gaps for classical random matrices and the SYK model
  Seminar Mathematical Physics, Bielefeld University, Germany, March, 2022.
• Extreme spacings of classical random matrices and the SYK model
  Oberseminar Stochastics, University of Bonn, Germany, Jan, 2022.
• Random matrices and our recent results
  MATH seminar, Bilkent University (online), March, 2021.
• Some recent results in random matrices
  Institute of Applied Mathematics, Chinese Academy of Sciences, Oct, 2020.