I am a second-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 Algebra and Topology, and particularly applications to problems in Algebraic/Arithmetic Geometry and Number Theory.

You can find a copy of my CV here. (last updated Spring 2021).

Teaching: For Spring 2021, I am teaching two sections of Math 1113 (Precalculus).

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


Recent Talks

Recent Writing (Spring 2021)

  • 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)

Projects

Make Me A Qual

Question generator for Mathematics qualifying exams.

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(Math) Arxiv Sanity Preserver

Machine Learning-based index of Arxiv papers.

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Persistent Homology

A time-evolving Vietoris-Ripps complex.

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Topological Snake

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

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Embedded Surfaces

3D visualization of some common topological surfaces.

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Map of Algebraic Structures

A digraph depicting how common algebraic structures are related.

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My Notes Directory

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

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