Research

I have been working on proving the Relative Derived Satake for symmetric spaces, i.e. the Derived Satake for real affine Grassmannians.  Here are the papers springing out of that project:

Lorentzian and Octonionic Satake Equivalence (with TH Chen)

Homology of loops on a splitting-rank symmetric space via the Geometric Satake for real groups 

Quaternionic Satake equivalence (with TH Chen, M. Macerato, and D. Nadler).  Submitted for publication.

Over summer 2018 I participated in the University of Minnesota REU in combinatorics.  I researched Renner monoids and finite reductive monoids with Professor Ben Brubaker.

Here are the resulting preprints:

Convolution Algebras for Finite Reductive Monoids (with J. Marx-Kuo, V. McDonald, and A. Vetter).

Characters of Renner Monoids and Their Hecke Algebras (with A. Hardt, J. Marx-Kuo, V. McDonald, and A. Vetter).