Research
Below are my papers. In 2021, I was a recipient of the UCI Math department's Kovalevsky Outstanding Ph.D. Thesis Award. My research is supported in part by NSF DMS 2247175.
Papers
Rotational symmetries of domains and Bergman space monomials, (with Soumya Ganguly) - arXiv:2410.01115 - submitted - (2024).
Sharp decay rate for eigenfunctions of perturbed periodic Schrodinger operators, (with Wencai Liu and Rodrigo Matos) - arXiv:2409.10387 - submitted - (2024)
Appendix author to Bergman metrics with constant holomorphic sectional curvatures (by Xiaojun Huang and Song-Ying Li) - arXiv:2302.13456 - submitted - (appendix, 2024)
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
Modifications of the Levi core (with Tanuj Gupta and Emil Straube) - to appear in Indiana University Mathematics Journal - (2023) - http://www.iumj.indiana.edu/IUMJ/Preprints/60462.pdf
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
Rigidity theorems by capacities and kernels (with Robert Xin Dong and Yuan Zhang) - International Mathematics Research Notices - Vol. 2023(24): 21180-21214 (2023) - https://doi.org/10.1093/imrn/rnac290
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
Math Education Papers
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