My research statement, which includes my work related to relative endoscopy and the relative Langlands program, can be found here.

A summary of my work on homogeneous affine Springer fibers, Hessenberg varieties, and combinatorics of torus link invariants can be found here.

A short note on the degree to which the dual symplectic representation of a spherical variety is determined by a divisor in the GIT quotient of the dual group is linked here.

Publications/Preprints:

• Relative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varieties (2026) with Spencer Leslie. [Available by request]
• Affine Springer fibers and Hilbert schemes: torus link case (2026) with Pablo Boxeida-Alvarez and Xinchun Ma. [In preparation]
• Relative Dolbeault Geometric Langlands via the Regular Quotient (2024) with Zhilin Luo and Benedict Morrissey. Accepted at Selecta Mathematica [arxiv, updated 9/2/26]
• The Hitchin Fibration for Symmetric Pairs (2024) with Benedict Morrissey. Advances in Mathematics [published version],[arxiv]
• The Companion Section for Classical Groups (2024) with Ngô Bảo Châu. International Journal of Mathematics. [published version],[arxiv]
• A Refined Count of Coxeter Element Reflection Factorizations (2018) with Elise delMas and Victor Reiner. Electronic Journal of Combinatorics. [published version]
• Chow Rings of Vector Space Matroids (2019) with Connor Simpson and Sujit Rao. Journal of Combinatorics. [published version],[arxiv]

Invited Talks:

• Geometry, Physics, and Representation Theory Seminar, Northeastern University (October 2026).
• Special Sectional on Springer Fibers, Harmonic Analysis, and Arithmetic, George Washington University (October 2026). Slides linked here.
• Number Theory and Representation Theory Seminar, Boston College (September 2026).
• Representation and Lie Theory Seminar. University of California-Riverside (March 2026).
• Algebraic Geometry Seminar. UW Madison (October 2025).
• Lie Groups Seminar. MIT (April 2025).
• Algebraic Geometry Seminar. Boston College (March 2025).
• Number Theory Seminar. Johns Hopkins University (January 2024).
• Representation Theory/Number Theory Seminar. Boston College (November 2023).
• Conference on the Hitchin system, Langlands duality and mirror symmetry. ICMAT, Madrid (April 2023). Video linked here.
• Number Theory Seminar. Duke University (March 2023). Video linked here.