See Research Interests tab for a brief explanation of what's algebraic geometry and my interest within this field.

Publications and Preprints:

1. Secant rank and syzygies of projections of elliptic normal curves, with Euisung Park.
   Submitted. pdf, arXiv

2. The stacky Batyrev-Manin conjecture and modular curves, with Ratko Darda.
   Submitted. pdf, arXiv

3. Counting 5-isogenies of elliptic curves over Q, with Santi Arango-Piñeros, Oana Padurariu, and Sun Woo Park.
   Under revision at Journal of the London Mathematical Society. pdf (updated contents from arXiv preprint), arXiv

4. Compactifications of moduli spaces of K3 surfaces with a higher-order nonsymplectic automorphism, with Valery Alexeev and Anand Deopurkar.
   Submitted. pdf, arXiv

5. Extending the Torelli map to alternative compactifications of the moduli space of curves, with Jesse Kass and Matt Satriano.
   Submitted. pdf, arXiv

6. Arithmetic inflection of superelliptic curves, with Ethan Cotterill, Ignacio Darago, Cristhian Garay López, and Tony Shaska.
   Michigan Mathematical Journal, 75 (2025). no. 4, pp. 675-724. Online, pdf, arXiv

7. Compact moduli of K3 surfaces with a nonsymplectic automorphism, with Valery Alexeev and Phil Engel.
   Transactions of the American Mathematical Society Series B, 11 (2024). pp. 144-163. Online, pdf, arXiv

8. Arithmetic inflection formulae for linear series on hyperelliptic curves, with Ethan Cotterill and Ignacio Darago.
   Mathematische Nachrichten, 296 (2023). no. 8, pp. 3272-3300. Online, pdf, arXiv

9. Enumerating odd-degree hyperelliptic curves and abelian surfaces over $\mathbb{P}^1$, with June Park.
   Mathematische Zeitschrift, 304 (2023). Article no. 5. Online, Publisher's Correction, pdf, arXiv

10. Stable log surfaces, admissible covers, and canonical curves of genus 4, with Anand Deopurkar.
    Transactions of the American Mathematical Society, 374 (2021). no. 1, pp. 589-641. Online, pdf, arXiv, Thesis

11. Arithmetic of the moduli of semistable elliptic surfaces, with June Park.
    Mathematische Annalen, 375 (2019). pp. 1745-1760. Online, pdf, arXiv

Projects in-progress:

1. Arithmetic secant formulae for linear series on hyperelliptic curves, with Ethan Cotterill and Naizhen Zhang.

2. On the quadratic rank index of low genus curves of low degree, with Euisung Park.

3. Comparison between KSBA, Toroidal, and K-moduli compactifications of log Calabi--Yau pair quotients of K3 surfaces, with Anand Deopurkar.