I am a thirdyear graduate student at the University of Georgia. I earned my undergraduate degree in Mathematics at the University of California, San Diego, where my undergraduate research was in homotopy theory and spectral sequences with Justin Roberts. I am broadly interested in moduli and classification problems, algebraic, homological, and homotopical invariants, and topics in the Langlands program.
You can find a copy of my CV here. (last updated spring 2021).
Teaching: In Fall 2021, I am teaching Math 2250 (Calculus), and coorganizing the UGA graduate student seminar with Arvind Suresh.
Qualifying Exams: You can find my collection of UGA qualifying exam study/preparatory materials on this page.
Recent Talks
 Grothendieck’s “On the de Rham Cohomology of Algebraic Varieties” (CRAAG, UGA, July 2021)
 The Adams Spectral Sequence. (Stable Homotopy Theory Seminar)
 McDuffSalamon “$J\dash$holomorphic Curve and Symplectic Topology” Seminar
(Symplectic Reading Seminar, UGA, June 2021)
 Talk 1: Sufficient conditions for regularity
 Talk 2: Examples of regularity, constrained curves
 Stable Homotopy Theory (UGA GSS, March 2021)
 Homotopy Groups of Spectra (Stable Homotopy Theory Seminar)
 Interesting Topological Spaces in Algebraic Geometry (Mock AMS, UGA, July 2020)
 Zeta Functions and The Weil Conjectures (CRAAG, UGA, April 2020)
 Homotopy Groups of Spheres (UGA GSS, April 2020)
Recent Notes

Fall 2021 Course Notes

Schemes (Philip Engel, Fall 2021)

Flag Varieties, Equivariant Cohomology, and $\K\dash$theory (Scott Larson, Fall 2021)

Characteristic Classes (Akram Alishahi, Fall 2021)

Rational Points (Daniel Litt, Fall 2021)


IAS/PCMI Graduate Summer School: Motivic Homotopy (Combined Notes)

Talbot 2021

Jeremy Hahn, “Methods and Mysteries in the Construction of Ring Spectra”

Tasos Mouliunos, “Perspectives of Nonabelian Hodge Theory”

Projects
Topological Snake
A visualization of what the game ‘Snake’ would look like in various topologies.