Research

My research interests lie in algebraic geometry and topology. In particular, I am interested in Hodge theory, moduli spaces, and degenerations of algebraic varieties. 

Preprints:

1. Rationality of Fano threefolds and intermediate Jacobian, (2026) 

2. On the discriminant locus of a generic projection, with Si-Yang Liu, (2026) arXiv

3. Failure of the invariant cycle theorem over Z, with Donu Arapura and Francois Greer, (2026) arXiv.

4. Hilbert Scheme of a Pair of Skew Lines on a Cubic Hypersurface, (2025) arXiv.

5. Elliptic-Elliptic Surfaces and Hesse Pencil, with Francois Greer, (2024) arXiv. 

6. Degeneration of Dual Varieties of Hypersurfaces, (2024) arXiv. 

7. Monodromy of Primitive Vanishing Cycles for Hypersurfaces in P^4, (2024) arXiv. 

8. Extension of the Topological Abel-Jacobi Map for Cubic threefolds, (2023) arXiv. 

Published Papers: 

1. Algebraicity of Hodge classes on some Generalized Prym Varieties, with Deepam Patel, Journal of Algebra, 712 (2027), 101--122, published version, arXiv. 

2. Hilbert Scheme of a pair of Skew Lines on Cubic threefolds, J. Pure Appl. Algebra 229 (2025), no. 6. published version, arXiv.  

3. Topological Abel-Jacobi map and mixed Hodge structures, Math. Res. Lett. 31, No. 4, 1215–1247 (2024). published version, arXiv.

Other writings: 

1. Ph.D. thesis: Topological Abel-Jacobi Map for Hypersurfaces in Complex Projective Four-Space.