I am a thirdyear 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 coorganizing 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

Cohomology in Representation Theory (Dan Nakano, Spring 2022)

Commutative Algebra (Daniel Litt, Spring 2022)

Contact Topology (Peter LambertCole, Spring 2022)

Functional Analysis (Weiwei Hu, Spring 2022)

Sheaf Cohomology (Valery Alexeev, Spring 2022)
Talks
You can find more links and details on my talks page.
 BetzCohen’s “Graph Moduli Spaces and Cohomology Operations”: The Equivariant Invariants. (UGA Reading Group, November 2021)
 Computing Volumes of Moduli Spaces (Mock AMS Conference, UGA August 2021)
 Slides: to be posted!
 Grothendieck’s “On the de Rham Cohomology of Algebraic Varieties” (CRAAG, UGA, July 2021)
 The Adams Spectral Sequence. (Stable Homotopy Theory Seminar)
 McDuffSalamon “$J\dash$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
For older notes, see my writing page.

Notes from the MSRI workshop on ChernSimons and Other Topological Field Theories:

Notes from the IAS/PCMI Graduate Summer School on Motivic Homotopy:

Notes from the MIT Talbot Workshop: Viva Talbot!:

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

Tasos Mouliunos, “Perspectives of Nonabelian Hodge Theory”

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