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.

Publications (10 published/to appear + 1 submitted) 

1. The Levi q-core and Property (P_q) (with G.M. Dall'Ara and S. Mongodi) - to appear in The Journal of Geometric Analysis (2025)

2.  Lu's Uniformization Theorem: Old and New (with P. Ebenfelt and M. Xiao) -to appear in The Journal of Geometric Analysis (2025)

3. A uniformization theorem for the Bergman metric (with P. Ebenfelt and M. Xiao) - submitted  (2025)  - arXiv:2502.15089 .

4. Appendix author to Bergman metrics with constant holomorphic sectional curvatures (by X. Huang and S.-Y. Li) - Journal für die reine und angewandte Mathematik (Crelle's Journal) - (appendix, 2025) - https://doi.org/10.1515/crelle-2025-0013

5. Rotational symmetries of domains and orthogonality relations, (with S. Ganguly) -  Journal of Mathematical Analysis and Applications - (2025) - https://doi.org/10.1016/j.jmaa.2025.129272

6. Sharp decay rate for eigenfunctions of perturbed periodic Schrodinger operators, (with W. Liu and R. Matos) - Nonlinearity - (2025) - https://doi.org/10.1088/1361-6544/adc653

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

8. Modifications of the Levi core (with T.Gupta and E. Straube)  - to appear in Indiana University Mathematics Journal - (2023) - http://www.iumj.indiana.edu/IUMJ/Preprints/60462.pdf

9. Sharp pointwise and uniform estimates for $\bar\partial$ (with X. Dong and S.-Y. Li) - Analysis and PDE - (2023) - https://msp.org/apde/2023/16-2/p04.xhtml

10. Rigidity theorems by capacities and kernels (with X, Dong and Y. Zhang) - International Mathematics Research Notices  - (2023) - https://doi.org/10.1093/imrn/rnac290

11. Rigidity Theorem by the Minimal Point of the Bergman Kernel (with X. Dong) - The Journal of Geometric Analysis - (2021) - https://link.springer.com/article/10.1007%2Fs12220-020-00459-2

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