I am interested in Schubert calculus, intersection theory on moduli stacks, and enumerative geometry. I am also interested in using machine learning and artificial intelligence to facilitate mathematical discoveries.
Some of the things I like to think about recently include Euler characteristics on spanning line configurations, lines on quartic surfaces, the $K_0$-ring of some moduli stacks, nef divisors on $\overline{\mathcal{M}}_{g,n}$, and canonical bundles of toric varieties.
Publications & Preprints
Oriented Cohomology Rings of Some Moduli Spaces via Blowups, with Arkamouli Debnath. 54 pages, 2026. arXiv: 2604.14536.
CircuitBuilder: From Polynomials to Circuits via Reinforcement Learning, with Weikun K. Zhang, Rohan Pandey, Bhaumik Mehta, Kaijie Jin, Naomi Morato, Archit Ganapule, and Jarod Alper. 11 pages, 2026. In ICLR 2026 Workshop on AI with Recursive Self-Improvement. arXiv: 2603.17075.
The Grothendieck group of the variety of spanning line configurations. 35 pages, submitted. 2025. arXiv: 2512.22769.
Deriving Orthographic Data from Classical Japanese Texts with Machine-Learning Methods, with P. Atkins and H. Chau. 8 pages, 2025. In Proceedings of IPSJ SIG Computers and the Humanities. Jinmoncom 2025 Best Paper Award (じんもんこん2025 優秀論文賞) & Student Encouragement Award (じんもんこん2025 学生奨励賞). URI: https://hdl.handle.net/1773/55355.
$C_p$-Mackey Functors in Macaulay2, with Thomas Brazelton, David Chan, Benjamin Mudrak, Chase Vogeli, Chenglu Wang, and Sasha Zotine. arxiv:2509.05456 13 pages, 2025. Accepted by Journal of Software for Algebra and Geometry.
Quantitative Orthographic Analysis of the Ogura Shikishi, with Paul Atkins. 86 pp., 2026. To appear in manuscript cultures.
Brackets and Projective Geometry in Macaulay2, with Dalton Bidleman, Tim Duff, and Jack Kendrick. arXiv:2504.00889, 2025.
Appendix. M. Harada and M. Precup. “Torus fixed point sets of Hessenberg Schubert varieties in regular semisimple Hessenberg varieties.” Osaka Journal of Mathematics 60 (2023), 637–652. doi:10.48550/arXiv.2112.13250.
