Research Papers:
Hodge Theoretic Compactification of Period Maps, Ph.D. thesis. link
Extension of Period Maps by Polyhedral Fans. Advances in Mathematics 406(17), 2022 (arXiv) (Published)
Remarks on eigenspectra of isolated singularities, joint with B. Castor, M. Kerr and G. Pearlstein, Pacific Journal of Mathematics 327(1), 2023 (arXiv) (Published)
Space of nilpotent orbits and extension of period maps (I): The weight 3 Calabi-Yau types, 2023 (arXiv)
Eigenperiods and the moduli of points in the line (with P. Gallardo), To appear in Nagoya Mathematical Journal, 2023 (arXiv) (Published)
Completion of two-parameter period maps by nilpotent orbits (with C. Robles), Submitted, 2023. (arXiv) Note: The 2nd version is being reviewed and has more contents (including applications) than the current arXiv version. Available upon request.
Remarks on the Griffiths infinitesimal invariant of algebraic curves, Manuscripta Mathematica 176(58), 2025 (arXiv) (Published)
On the generic degree of two-parameter period mappings (with C. Chen), Submitted, 2024 (arXiv)
On the generalized toroidal completion of period mappings, 2025 (arXiv)
Completing the Stein factorization of a period map (with C. Robles), in preparation, 2025
Seminar & Conference talks:
Algebraic Geometry Seminar at Purdue University - Sep. 2024
Geometry Seminar at Texas A&M University - Aug. 2024
Lightning talk at ICERM conference: The Ceresa Cycle in Arithmetic and Geometry, Brown University - May. 2024
Algebraic Geometry Seminar at Washington University in St. Louis - April. 2024
Stony Brook Algebraic Geometry Seminar, Stony Brook University - Mar. 2024
Duke Algebraic Geometry Seminar, Duke University - Sep. 2023
Geometry, Arithmetic and Differential Equations of Periods (GADEPs), Zoom talk - Sep. 2023
Georgia Algebraic Geometry Symposium (Mini-talk), University of Georgia - April. 2023
Periods, Shafarevich Maps and Applications, IMSA at U of Miami - Feb. 2023
Algebraic Geometry Seminar at Duke University - April 2022
Arithmetic Geometry Seminar at Ohio State University - March 2022
Algebraic Geometry Seminar at Duke University - November 2021
Szego Seminar, Washington University in St. Louis - November 2021
Algebraic Geometry Seminar at UC Riverside - November 2021
Algebraic Geometry Seminar at Washington University in St. Louis - April 2020
Hyperplane arrangement seminar at Washington University in St. Louis - November 2019