I am a third-year 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).

Qualifying Exams: You can find my collection of UGA qualifying exam study/preparatory materials on this page.

Seminars/Conferences: I am currently co-organizing UGA’s Mock AMS Conference and the online graduate student seminar GOSS.

# Recent Talks

• Grothendieck’s “On the de Rham Cohomology of Algebraic Varieties” (CRAAG, UGA, July 2021)
• The Adams Spectral Sequence. (Stable Homotopy Theory Seminar)
• McDuff-Salamon “$J\dash$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

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

• Talbot 2021

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

Notes (PDF)

• Tasos Mouliunos, “Perspectives of Nonabelian Hodge Theory”

Notes (PDF)

• Floer Homology (Akram Alishahi, Spring 2021)

• 4-Manifolds (Philip Engel, Spring 2021)

• Algebraic Number Theory (Paul Pollack, Spring 2021)

• Homological Algebra (Brian Boe, Spring 2021)

## Make Me A Qual

Question generator for Mathematics qualifying exams.

## (Math) Arxiv Sanity Preserver

Machine Learning-based index of Arxiv papers.

## Persistent Homology

A time-evolving Vietoris-Ripps complex.

## Topological Snake

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

## Embedded Surfaces

3D visualization of some common topological surfaces.

## Map of Algebraic Structures

A digraph depicting how common algebraic structures are related.

## My Notes Directory

My (rather unorganized) public directory of things like notes and tex templates.