Publications

Publications

1. Degree of the 3-secant variety, Journal of Pure and Applied Algebra 228 (2024)

Preprints

1. Singularities of nest Hilbert scheme of points of length 3,4, arXiv preprint arXiv:2501.11055 (2025)

2. Singularities and syzygies of secant varieties of smooth projective varieties (with Justin Lacini, Jinhyung Park, John Sheridan), arXiv preprint arXiv:2502.19703 (2025)

3. Hilbert polynomials of the first and second secant varieties (with JInhyung Park), arXiv preprint arXiv:2605.29418 (2026)

Ongoing projects

•  Singularities and syzygies of 4-secant varieties of smooth projective varieties

• Effective bound on singularities and syzygies of higher secant varieties