My current research involves Brill-Noether theory of higher rank vector bundles on surfaces, algebraic hyperbolicity, and nef cones of Hilbert schemes of points on surfaces.
Publications and preprints:
Brill-Noether theory on the projective plane for bundles with many sections.
Joint with Izzet Coskun and Jack Huizenga. Int. Math. Res. Not. IMRN. (2025) pdf
2. Ample cones of Hilbert schemes of points on hypersurfaces in projective 3-space.
Proc. Amer. Math. Soc. (2024) pdf