As of the 2022-2023 academic year, I am a fourth-year graduate student at the University of Georgia working in algebraic geometry with Valery Alexeev. I am currently thinking about moduli spaces of K3 surfaces, particularly with symplectic and/or non-symplectic automorphisms.

In Spring 2023, I am serving as a graduate administrator with the UGA at Oxford program starting in March.

You can find a copy of my CV here (last updated Fall 2021).

• Resources, links, and notes on advice for navigating graduate school and a career in mathematics
• Qualifying exam problems and solutions: Real Analysis, Complex Analysis, Algebra, Topology.

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Talks

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

• My oral exam talk on Phil Engel’s paper Looijenga’s conjecture via integral affine geometry (UGA, December 2022)
  • Notes/slides forthcoming.
• $A_\infty\dash$Categories, Toward a Definition of the Fukaya Category (UGA Symplectic Reading Seminar, September 2022)
  • Slides (PDF)
• Some applications of the Torelli theorem: Faltings’ proof of the Mordell conjecture. (UGA Reading Group, July 2022)
  • Slides (PDF)
• Annihilator of the Lefschetz Motive (The MIT Talbot Workshop, June 2022)
  • Typset Notes (PDF)
• Why Derived Geometry? (UGA GSS, February 2022)
  • Slides (PDF)

Recent Notes

You can find many more notes on my writing page.

• K3 Surfaces (Phil Engel, Spring 2023)

  Notes (PDF), Notes (HTML)

• Hochschild Homology (Tekin Karadag, Spring 2023)

  Notes (PDF), Notes (HTML)

• Lie Algebras (Brian Boe, Fall 2022)

  Notes (PDF), Notes (HTML)

• Moduli Spaces (Valery Alexeev, Fall 2022)

  Notes (PDF), Notes (HTML)

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• Proceedings from Talbot 2022: Scissors Congruence and Algebraic K-Theory (June 2022)

  Notes (PDF) (Jointly compiled with Maxine Calle)

• Notes for the INI workshop on mathematical physics: algebraic cycles, strings and amplitudes (July 2022)

  Notes (PDF), Notes (HTML)

• Notes for the ADDING conference at UGA (May 2022)

  Notes (PDF), Notes (HTML)

• Lecture Notes for Arizona Winter School 2022: Automorphic Forms Beyond $\GL_2$ (March 2022)

  Notes (PDF), Notes (HTML)

• Notes from the MSRI workshop on Chern-Simons and Other Topological Field Theories (November 2021)

  Notes (PDF)

• 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)