Research

Papers

• A new tautological relation on $\overline{\mathcal{M}}_{2,14}$ in cohomology^† (with S. Canning, R. Pandharipande, D. Petersen, A. Pixton, and J. Schmitt). In preparation. [Slides]
• Motivic branch separation for compactified Jacobians (with F. Greer). In preparation.
• On $E_8$-polarized elliptic-elliptic surfaces. In preparation.
• Tautological pushforwards of Hilbert schemes of points on curves and surfaces. Preprint. [arXiv]
• A counterexample to a global-dimension bound for weighted projective lines^† (with Y. Liu and Y. Shen). Preprint. [arXiv]
• K-moduli of cubic hypersurfaces^† (with Y. Shen, J. Zhao, and M. Zhao). Preprint. [PDF]
• Positive scalar curvature and volume growth^† (with X. Zhu). Preprint. [arXiv]
• A counterexample to Han's conjecture^† (with Y. Liu and Y. Shen). Preprint. [arXiv]
• To cover a permutohedron (with J. Zeng). Accepted. [arXiv] [Lean formalization]
• The Chow rings of moduli spaces of elliptic surfaces over $\mathbb{P}^1$ (with S. Canning). Algebraic Geometry 10 (4) (2023), 489–503. [arXiv]

^† “Vibe-mathed”: AI made a major discovery.

Thesis

• Intersection theory of the moduli space of elliptic K3 surfaces. Ph.D. dissertation, University of California San Diego (2024). [Thesis]