Spring 2026
The end is near. I have finalized the details of expressing the Einstein--Vlasov constraint equations formally. My focus has now shifted to writing my thesis, which in its current form is a collection of LaTex documents scattered across my desktop.
".... How do you write like you're running out of time? Write day and night like you're running out of time?
How do you write every second you're alive? Every second you're alive? Every second you're alive?!?"
Spring 2025
Summer 2024
I want to understand the relationship between Spencer cohomology and formal integrability. I have been going through Chapters 6-7 of Seiler's textbook Involution in detail, taking copious notes and drawing pictures to help with this.
Fall 2023
Spring 2023
Fall 2022
I have spent the summer and fall studying for my comprehensive exam, which covers the topics of topology, differential geometry, and the mathematics of general relativity. See my syllabus.
Fall 2019-Spring 2020
Master's Thesis
Summer 2019-Fall 2019
Research in undergraduate mathematics education