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 Fall 2021).

In Spring 2022, I am teaching Math 2250 (Calculus), and co-organizing the UGA graduate student seminar with Arvind Suresh. See UGA GSS.

Qualifying Exams: See https://quals.dzackgarza.com/ for a wiki of qualifying exam resources, topics, and review guides, along with worked problems and solutions.

Current Course Notes


You can find more links and details on my talks page.

Recent Notes

For older notes, see my writing page.


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 Wiki

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

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