As of the 2024-2025 academic year, I am a 6th year graduate student at the University of Georgia working in algebraic geometry with Valery Alexeev. I am currently thinking about KSBA and semitoroidal compactifications of moduli spaces of Enriques and Coble surfaces.
You can find my CV here and preprints of my papers on Arxiv.
Research
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(arxiv 2312.03638) Compact moduli of Enriques surfaces with a numerical polarization of degree 2. Joint work with Valery Alexeev, Phil Engel, and Luca Schaffler.
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A recent talk on this work:
Talks
You can find more older material on my talks page.
- $A_\infty\dash$Categories, Toward a Definition of the Fukaya Category (UGA Symplectic Reading Seminar, September 2022)
- Some applications of the Torelli theorem: Faltings’ proof of the Mordell conjecture. (UGA Reading Group, July 2022)
- Annihilator of the Lefschetz Motive (The MIT Talbot Workshop, June 2022)
- Why Derived Geometry? (UGA GSS, February 2022)
Recent Notes
You can find many more notes on my writing page.
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All of the exercises from Hartshorne compiled into a single document: (PDF),
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K3 Surfaces (Phil Engel, Spring 2023)
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Hochschild Homology (Tekin Karadag, Spring 2023)
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Lie Algebras (Brian Boe, Fall 2022)
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Moduli Spaces (Valery Alexeev, Fall 2022)
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Proceedings from Talbot 2022: Scissors Congruence and Algebraic K-Theory (June 2022)
Notes (PDF) (Jointly compiled with Maxine Calle)
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Notes for the INI workshop on mathematical physics: algebraic cycles, strings and amplitudes (July 2022)
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Notes for the ADDING conference at UGA (May 2022)
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Lecture Notes for Arizona Winter School 2022: Automorphic Forms Beyond $\GL_2$ (March 2022)
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Notes from the MSRI workshop on Chern-Simons and Other Topological Field Theories (November 2021)
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Notes from the IAS/PCMI Graduate Summer School on Motivic Homotopy:
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Notes from the MIT Talbot Workshop: Viva Talbot!:
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Jeremy Hahn, “Methods and Mysteries in the Construction of Ring Spectra”
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Tasos Mouliunos, “Perspectives of Nonabelian Hodge Theory”
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