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
A uniformization theorem for the Bergman metric (with Peter Ebenfelt and Ming Xiao) - arXiv:2502.15089 - submitted - (2025).
Appendix author to Bergman metrics with constant holomorphic sectional curvatures (by Xiaojun Huang and Song-Ying Li) - arXiv:2302.13456 - Journal für die reine und angewandte Mathematik (Crelle's Journal) - (appendix, 2024) - https://doi.org/10.1515/crelle-2025-0013
Sharp decay rate for eigenfunctions of perturbed periodic Schrodinger operators, (with Wencai Liu and Rodrigo Matos) - arXiv:2409.10387 - to appear in Nonlinearity - (2024)
Rotational symmetries of domains and orthogonality relations, (with Soumya Ganguly) - arXiv:2410.01115 - to appear in Journal of Mathematical Analysis and Applications (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