Research

Research Papers:

1. Hodge Theoretic Compactification of Period Maps, Ph.D. thesis. link

2. Extension of Period Maps by Polyhedral Fans. Advances in Mathematics 406.17 (2022). (DOI, arXiv)

3. Remarks on eigenspectra of isolated singularities, joint with B. Castor, M. Kerr and G. Pearlstein, Pacific Journal of Mathematics 327(1), 2023. (arXiv)(Published)

4. Space of nilpotent orbits and extension of period maps (I): The weight 3 Calabi-Yau types, Submitted, 2023 (arXiv)

5. Eigenperiods and the moduli of points in the line (with P. Gallardo), Submitted, 2023. (arXiv)

6. Completion of two-parameter period maps by nilpotent orbits (with C. Robles),  Submitted, 2023. (arXiv)

7. Remarks on the infinitesimal invariants of genus 4 algebraic curves, Work in progress.

8. On computing the generic degree of period maps (with C. Chen), Work in progress.

Seminar & Conference talks:

       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