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).

Teaching: In Fall 2021, I am teaching Math 2250 (Calculus), and co-organizing the UGA graduate student seminar with Arvind Suresh.

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

Talks

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

Betz-Cohen’s “Graph Moduli Spaces and Cohomology Operations”: The Equivariant Invariants. (UGA Reading Group, November 2021)
- Slides (PDF),
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)
- Slides (PDF)
The Adams Spectral Sequence. (Stable Homotopy Theory Seminar)
- Slides (PDF), Slides (HTML), Video.
McDuff-Salamon “$J\dash$holomorphic Curve and Symplectic Topology” Seminar (Symplectic Reading Seminar, UGA, June 2021)
- Talk 1: Sufficient conditions for regularity
  - Slides (PDF)
- Talk 2: Examples of regularity, constrained curves
  - Slides (PDF)
Stable Homotopy Theory (UGA GSS, March 2021)
- Slides (PDF)
Homotopy Groups of Spectra (Stable Homotopy Theory Seminar)
- Slides (PDF), Video
Interesting Topological Spaces in Algebraic Geometry (Mock AMS, UGA, July 2020)
- Slides (HTML)
Zeta Functions and The Weil Conjectures (CRAAG, UGA, April 2020)
- Slides (PDF)
Homotopy Groups of Spheres (UGA GSS, April 2020)
- Slides (PDF)

Recent Notes

For older notes, see my writing page.

Notes from the MSRI workshop on Chern-Simons and Other Topological Field Theories:

Notes (PDF)
Fall 2021 Course Notes
- Schemes (Philip Engel, Fall 2021)
  
  Notes (PDF), Notes (HTML)
- Flag Varieties, Equivariant Cohomology, and $\K\dash$theory (Scott Larson, Fall 2021)
  
  Notes (PDF), Notes (HTML)
- Characteristic Classes (Akram Alishahi, Fall 2021)
  
  Notes (PDF), Notes (HTML)
- Rational Points (Daniel Litt, Fall 2021)
  
  Notes (PDF), Notes (HTML)
Notes from the IAS/PCMI Graduate Summer School on Motivic Homotopy:

Notes (PDF), Notes (HTML)
Notes from the MIT Talbot Workshop: Viva Talbot!:
- Jeremy Hahn, “Methods and Mysteries in the Construction of Ring Spectra”
  
  Notes (PDF)
- Tasos Mouliunos, “Perspectives of Nonabelian Hodge Theory”
  
  Notes (PDF)