Ching Wei Ho
Email: chwho@gate.sinica.edu.tw
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.
Research
I work on random matrices, random polynomials and analytic functions, probability theory, and free probability theory.
Publications and Preprints
- Zeros of random polynomials undergoing the heat flow. [with Brian Hall, Jonas Jalowy, Zakhar Kabluchko] arXiv:2308.11685.
- The heat flow, GAF, and SL(2;R). [with Brian Hall, Jonas Jalowy, Zakhar Kabluchko] arXiv:2304.06665.
- Deformed single ring theorems. [with Ping Zhong] arXiv:2210.11147.
- Regularity for free multiplicative convolution on the unit circle. [with Serban Belinschi and Hari Bercovici] Pacific J. Math. 322 (2023), no. 2, 243–250.
- On the convergence of Denjoy-Wolff point. [with Serban Belinschi and Hari Bercovici] arXiv:2203.16728.
- The heat flow conjecture for random matrices. [with Brian Hall] arXiv:2202.09660.
- 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.
- 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.
- The Brown measure of unbounded variables with free semicircular imaginary part. J. Operator Theory. To appear.
- The Brown measure of the sum of a self-adjoint element and an elliptic element. Electron. J. Probab. 27 1-32, 2022
- 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)
- 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.
- A local limit theorem and delocalization of eigenvectors for polynomials in two matrices. Int. Math. Res. Not. IMRN, 2022, no. 3, 1734–1769
- Segal-Bargmann transform: the q-deformation. [with Guillaume Cébron] Lett Math Phys 108, 1677-1715 (2018)
- The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin identificaton. J. Funct. Anal. 271, 12(2016), 3765-3817
- 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
- Advances on Fractals and Related Topics, CUHK. Hong Kong. December 2012
- Free Probability Seminar, Saarland University. Saarbruecken, Germany. January 2016
- Functional Analysis Seminar, UC San Diego. San Diego, CA. October 2017
- Analysis Seminar, Cornell University. Ithaca, NY. October 2017
- AMS Western Sectional Meeting, UC Riverside. Riverside, CA. November 2017
- Joint Mathematics Meetings AMS Special Session on Advances in Operator Algebras, San Diego Convention Center. San Diego, CA. January 2018
- Wabash Seminar, Wabash College. Crawfordsville, IN. February 2018
- Functional Analysis Seminar, University of Pittsburgh. Pittsburgh, PA. April 2018
- Workshop on Fractal Geometry and Related Topics, on the occasion of Professor Ka-Sing Lau's Retirement, CUHK. Hong Kong. May 2018
- The 40th International Conference on Quantum Probability and Infinite Dimensional Analysis, in honor of Professor Leonard Gross. The Ohio State University, Columbus, OH, August 2019
- Wabash Seminar, Wabash College. Crawfordsville, IN. February 2020
- Felix Klein Seminar, University of Notre Dame. South Bend, IN. February 2020
- Analysis Seminar, Indiana University Bloomington. Bloomington, IN. (Virtual.) October 2020
- Probabilistic Operator Algebra Seminar, University of California Berkeley. Berkeley, CA. (Virtual.) October 2020
- Probability and Related Fields Seminar, Indiana University Bloomington. Bloomington, IN. (Virtual.) November 2020
- Colloquium, Academia Sinica. Taipei, Taiwan. (Virtual.) December 2020
- Probability Seminar, University of California Los Angeles. Los Angeles, CA. (Virtual.) May 2021
- Colloquium, National Sun Yat-sen University. Gushan, Kaohsiung, Taiwan. (Virtual.) June 2021
- Probability Seminar, UC San Diego. San Diego, CA. May 2022
- Probability Seminar, National Taiwan University. Taipei, Taiwan. August 2022
- Colloquium, National Cheng Kung University. Tainan, Taiwan. December 2022
- Operator Theory, Free Probability, and Random Matrices, a conference in honor of Hari Bercovici's 70th Anniversary. Georgia Institute of Technology. Atlanta, GA. April 2023
- Analysis Seminar, Indiana University Bloomington. Bloomington, IN. April 2023
- Probability Seminar, UC San Diego. San Diego, CA. May 2023
- The 18th Workshop on Markov Processes and Related Topics. Tianjin, China. July 2023
- Colloquium, National Tsing Hua University. Hsinchu, Taiwan. October 2023
Teaching
- Fall 2018: M118 Finite Mathematics, Indiana University Bloomington
- Spring 2019: M365 Introduction to Probability and Statistics, Indiana University Bloomington
- Fall 2019: M211 Calculus I, Indiana University Bloomington
- Spring 2020: M118 Finite Mathematics, Indiana University Bloomington
- Fall 2020: M463 Introduction to Probability I, Indiana University Bloomington
- Spring 2021: M212 Calculus II, Indiana University Bloomington
- Spring 2021: M512 Real Analysis II, Indiana University Bloomington
- Fall 2021: MATH 10350 Calculus A, University of Notre Dame
- Fall 2021: MATH 40750 Partial differential equations, University of Notre Dame
- Spring 2022: MATH 30530 Introduction to probability theory, University of Notre Dame