Sung Gi Park
I am a sixth-year math graduate student at Harvard University, advised by Mihnea Popa. I am on the job market in Fall 2023. 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 and to prove interesting properties (i.e. hyperbolicity) of varieties.
Email: sgpark at math dot harvard dot edu
Preprints/Publications
Du Bois complex and extension of forms beyond rational singularities, preprint.
Extending logarithmic differential forms to a resolution of singularities, with A. D. Vo, in preparation.
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 2023 Teaching Fellow, Math 21A (Multivariable Calculus)
Spring 2022 Teaching Fellow, Math 21A (Multivariable Calculus)
Fall 2020 Course Assistant, Math 231A (Algebraic Topology)