I am a Veblen Research Instructor at Princeton and the IAS. Previously, I was a graduate student at Harvard University, advised by Mihnea Popa. Here is my CV.
Research Interests:
Birational geometry, Hodge theory (Hodge modules), hyperbolicity, singularities
Recently, my research is focused on applying Hodge theory (Hodge modules) to solve problems in birational geometry.
Email: sp6631 at princeton dot edu
Preprints/Publications
Lefschetz theorems, Q-factoriality, and Hodge symmetry for singular varieties, with M. Popa, preprint
Du Bois complex and extension of forms beyond rational singularities, preprint
Upper bound on the multiplicity of rational and Du Bois singularities, preprint
Logarithmic base change theorem and smooth descent of positivity of log canonical divisor, preprint
Viehweg hyperbolicity for Whitney equisingular families with Gorenstein rational singularities, preprint
Proof of the Gorenstein Interval Conjecture in low socle degree, with R. P. Stanley and F. Zanello, J. Algebra 523 (2019), 192-200.
A bound of generalized competition index of a primitive digraph, with H. K. Kim, Linear Algebra Appl. 436 (2012), no. 1, 86–98.
Teaching
Spring 2025 Instructor, MAT 531 (Intro to Riemann Surfaces)
Fall 2024 Instructor, MAT 201 (Multivariable Calculus)
Spring 2023 Teaching Fellow, Math 21A (Multivariable Calculus)
Spring 2022 Teaching Fellow, Math 21A (Multivariable Calculus)
Fall 2020 Course Assistant, Math 231A (Algebraic Topology)