RESEARCH
RESEARCH
My research interests lie in the boundary of Number Theory, Representation Theory, Algebra, and Geometry, all integrated within the broader framework of the Langlands Program.
Eisenstein Cohomology and Critical Values of Certain L-Functions: The Case G_2, arXiv: 2501.03546 (Submitted).
The ρ-Fourier Transform. (w/ J. Getz, A. Gutiérrez, A. Slipper, G. Xi, H. Yao, A. Zhao), arXiv:2512.00182 (Submitted).
Modulation groups. (w/ J. Getz, A. Gutiérrez, B. Hu, S. Lee, A. Slipper, M. Tomé, H. Yao, A. Zhao), arXiv:2510.23932 (Submitted).
Eisenstein Cohomology and Critical Values of Certain L-Functions: Root Systems and Cohomological Realization (In preparation).
Eisenstein Cohomology and Critical Values of Certain L-Functions: The Klingen Denominator Problem for GSp_4 (In preparation).
Algebraic Cycles on Certain Simple Shimura Varieties (In preparation).
I am currently part of the following thematic research teams led by Jayce Getz:
TRT on Cohomology of Period Domains
TRT on the Poisson Summation Conjecture
Computational Algebraic Number Theory with Geometric Applications, with Colleen Robles, Summer 2026.
Texas–Oklahoma Representations and Automorphic Forms (TORA XV) - April 2026
Number Theory Seminar, Duke University - Sept 2024
2024 Spring Eastern Sectional Meeting, Howard University - April 2024
Number Theory Seminar, Duke University - Feb 2024
Western Algebraic Geometry Symposium (Poster), Washington University in St. Louis- Nov 2023
Automorphic Forms and Representation Theory Seminar, Purdue University- Nov 2023
Student Colloquium, Purdue University - Oct 2023
2023 Fall Eastern Sectional, SUNY, Buffalo - Sep 2023