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).
Qualifying Exams: See https://quals.dzackgarza.com/ for a wiki of qualifying exam resources, topics, and review guides, along with worked problems and solutions.
Notes for the ADDING conference at UGA (Spring 2022)
Lecture Notes for Arizona Winter School 2022: Automorphic Forms Beyond $\GL_2$ (Spring 2022)
Cohomology in Representation Theory (Dan Nakano, Spring 2022)
Commutative Algebra (Daniel Litt, Spring 2022)
Contact Topology (Peter Lambert-Cole, Spring 2022)
Functional Analysis (Weiwei Hu, Spring 2022)
Sheaf Cohomology (Valery Alexeev, Spring 2022)
You can find more links and details on my talks page.
- Why Derived Geometry? (UGA GSS, February 2022)
- Betz-Cohen’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: forthcoming!
- Grothendieck’s “On the de Rham Cohomology of Algebraic Varieties” (CRAAG, UGA, July 2021)
- The Adams Spectral Sequence. (Stable Homotopy Theory Seminar)
- McDuff-Salamon “$J\dash$holomorphic Curve and Symplectic Topology” Seminar (Symplectic Reading Seminar, UGA, June 2021)
- 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)
For older notes, see my writing page.
Notes from the IAS/PCMI Graduate Summer School on Motivic Homotopy:
Notes from the MIT Talbot Workshop: Viva Talbot!: