Research

My research focuses on several complex variables and complex analysis.  In 2021, I was a recipient of the UCI Math department's Kovalevsky Outstanding Ph.D. Thesis Award.

Papers 

1. Sufficient condition for compactness of the $\bar\partial$-Neumann operator using the Levi core  - Proceedings of the American Mathematical Society - Proc. Amer. Math. Soc. 152 (2024), 691-699 - https://www.ams.org/journals/proc/2024-152-02/S0002-9939-2023-16649-6/home.html

2. Modifications of the Levi core (with Tanuj Gupta and Emil Straube)  - arXiv2308.14807 - to appear in Indiana University Mathematics Journal - (2023)

3. Sharp pointwise and uniform estimates for $\bar\partial$ (with Robert Xin Dong and Song-Ying Li) - Analysis and PDE - volume 16, No. 2, 407–431 (2023) - https://msp.org/apde/2023/16-2/p04.xhtml

4. Rigidity theorems by capacities and kernels (with Robert Xin Dong and Yuan Zhang) - to appear in International Mathematics Research Notices  - (2022) - https://doi.org/10.1093/imrn/rnac290

5. Rigidity Theorem by the Minimal Point of the Bergman Kernel (with Robert Xin Dong) - The Journal of Geometric Analysis - volume 31, pages 4856–4864 (2021) - https://link.springer.com/article/10.1007%2Fs12220-020-00459-2

Appendices to Research Papers

1.  Appendix author to Bergman metrics with constant holomorphic sectional curvatures (by Xiaojun Huang and Song-Ying Li) - arXiv:2302.13456 - submitted - (appendix, 2024)

Math Education Papers

1. Pantano, Alessandra; Treuer, John; and Baki, Yasmeen S. (2022) The UCI Math Circle: Building an online community of young math researchers -  Journal of Math Circles: Vol. 2: Iss. 2, Article 5. Available at: https://digitalcommons.cwu.edu/mathcirclesjournal/vol2/iss2/5