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. I am broadly interested in algebraic aspects of geometry and topology – my undergraduate research was in spectral sequences with Justin Roberts.

You can find a copy of my CV here (last updated Spring 2019).

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

  • Slides Interesting Topological Spaces in Algebraic Geometry (Mock AMS, UGA, July 2020)
  • Slides The Weil Conjectures (CRAAG, UGA, April 2020)

  • Slides Homotopy Groups of Spheres (Graduate Student Seminar, UGA, April 2020)

Recent Writing (Spring 2021)

  • PDF, HTML Floer Homology (Akram Alishahi, Spring 2021)

  • PDF, HTML 4-Manifolds (Philip Engel, Spring 2021)

  • PDF, HTML Algebraic Number Theory (Paul Pollack, Spring 2021)

  • PDF, HTML 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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