I am a third year math PhD student at Caltech. I am interested in number theory and algebraic geometry, especially p-divisible group associated to abelian varieties. My advisor is Elena Mantovan. I did my undergraduate studies at University of Notre Dame. I can speak Mandarin, English, Japanese, Cantonese and Teochew.
Here is a list of my published papers:
- Abelian covers of of p-ordinary Ekedahl-Oort type (With E. Mantovan and D.Singhal). arXiv:2303.13350, To appear in International Mathematics Research Notice.
- Density questions in rings of the form 𝓞𝑲 [𝜸]⋂𝑲 (With D.Singhal). (2023) International Journal of Number Theory, https://doi.org/10.1142/S1793042124500581
- Primes in denominators of Algebraic Numbers (With D.Singhal). (2023) International Journal of Number Theory, https://doi.org/10.1142/S1793042124500167
- Density of Numerical sets associated to a Numerical semigroup (with D. Singhal). (2021) Communications in Algebra, 49:10, 4291-4303, DOI: 10.1080/00927872.2021.1918136
- Frobenius allowable gaps of Generalized Numerical Semigroups (with D. Singhal). (2022) Electronic Journal of Combinatorics. Volume 29, Issue 4. https://doi.org/10.37236/10748
- The Limiting Spectral Measure for an Ensemble of Generalized Checkerboard Matrices (with F. Chen, S. J. Miller, J.Yu). (2021) The PUMP Journal of Undergraduate Research, 4, 202-221. https://journals.calstate.edu/pump/article/view/2544
Here is a list of my preprints:
- On a Conjecture of Ghorpade, Datta and Beelen for the Number of Points of Varieties over Finite Fields (With D. Singhal). https://arxiv.org/abs/2311.07702, peer-reviewed at European Journal of Mathematics.
- Non mu-ordinary Newton polygons in the Torelli Locus (With D. Singhal and E. Mantovan). https://arxiv.org/abs/2406.09632
- The p-rank stratification on the moduli space of double covers of an elliptic curve. (With D. Dragutinovic, K. Chang, S. Gorens and D. Singhal). In preparation.