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).

For Fall 2020, I am teaching Math 1113 (Precalculus).

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

Recent Talks

• Interesting Topological Spaces in Algebraic Geometry Slides (Mock AMS, UGA, July 2020)

• The Weil Conjectures Slides

  • From Classic Reading in Arithmetic / Algebraic Geometry (CRAAG), UGA, April 2020
• Homotopy Groups of Spheres Slides (Graduate Student Seminar, UGA, April 2020)

Course Notes / Transcriptions / Writing

2020, Fall:

• Algebraic Geometry (Philip Engel, Fall 2020) PDF, HTML

• Algebraic Groups (Dan Nakano, Fall 2020) PDF, HTML

• Algebraic Curves (Pete Clark, Fall 2020) PDF, HTML

• Étale Cohomology (Daniel Litt, Fall 2020) PDF,

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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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