Ching Wei Ho



Address: Institute of Mathematics, Academia Sinica,
6/F Astronomy-Mathematics Building,
No. 1, Sec. 4, Roosevelt Road,
Taipei 10617, Taiwan

Office: 634 Astronomy-Mathematics Building

I am a former PhD student of Todd Kemp at University of California San Diego.
After I graduated, I became a Zorn postdoctoral fellow at Indiana University Bloomington, and later a visiting assistant professor at University of Notre Dame.
Now I am a faculty member in Academia Sinica, Taiwan.


I work on random matrices, random polynomials and analytic functions, probability theory, and free probability theory.

Publications and Preprints

  1. Zeros of random polynomials undergoing the heat flow. [with Brian Hall, Jonas Jalowy, Zakhar Kabluchko] arXiv:2308.11685.
  2. The heat flow, GAF, and SL(2;R). [with Brian Hall, Jonas Jalowy, Zakhar Kabluchko] arXiv:2304.06665.
  3. Deformed single ring theorems. [with Ping Zhong] arXiv:2210.11147.
  4. Regularity for free multiplicative convolution on the unit circle. [with Serban Belinschi and Hari Bercovici] Pacific J. Math. 322 (2023), no. 2, 243–250.
  5. On the convergence of Denjoy-Wolff point. [with Serban Belinschi and Hari Bercovici] arXiv:2203.16728.
  6. The heat flow conjecture for random matrices. [with Brian Hall] arXiv:2202.09660.
  7. Superconvergence in free probability limit theorems for arbitrary triangular arrays. [with Hari Bercovici, Jiun-Chau Wang and Ping Zhong] Proc. Am. Math. Soc. 150 (2022), 5253-5265.
  8. The Brown measure of a family of free multiplicative Brownian motions. [with Brian Hall] Probab. Theory Related Fields 186 (2023), no. 3-4, 1081–1166.
  9. The Brown measure of unbounded variables with free semicircular imaginary part. J. Operator Theory. To appear.
  10. The Brown measure of the sum of a self-adjoint element and an elliptic element. Electron. J. Probab. 27 1-32, 2022
  11. The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element. [with Brian Hall] Lett Math Phys 112, 19 (2022)
  12. Brown measures of free circular and multiplicative Brownian motions with self-adjoint and unitary initial conditions. [with Ping Zhong] J. Eur. Math. Soc. (JEMS) 25 (2023), no. 6, 2163–2227.
  13. A local limit theorem and delocalization of eigenvectors for polynomials in two matrices. Int. Math. Res. Not. IMRN, 2022, no. 3, 1734–1769
  14. Segal-Bargmann transform: the q-deformation. [with Guillaume Cébron] Lett Math Phys 108, 1677-1715 (2018)
  15. The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin identificaton. J. Funct. Anal. 271, 12(2016), 3765-3817
  16. Energy measures of harmonic functions on the Sierpinski gasket. [with Renee Bell and Robert S. Strichartz] Indiana Univ. Math. J. 63 (2014), no. 3, 831–868.

Invited Talks