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 toric geometry and (compactifications of) moduli spaces – in particular, degenerations of K3 surfaces and their connections to ADE Dynkin diagrams.

In Fall 2022, I am

• Teaching 2 sections of Math 1113 (PreCalculus)
• Co-organizing the UGA graduate student seminar with Haiyang Wang (see UGA GSS).

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
• Resources for learning about the Floer homotopy type

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Recent Notes

• 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 (Spring 2022)

  Notes (PDF), Notes (HTML)

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

  Notes (PDF), Notes (HTML)

Talks

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

• 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)
• 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: forthcoming!
• 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.

• Cohomology in Representation Theory (Dan Nakano, Spring 2022)

  Notes (PDF), Notes (HTML)

• Commutative Algebra (Daniel Litt, Spring 2022)

  Notes (PDF), Notes (HTML)

• Contact Topology (Peter Lambert-Cole, Spring 2022)

  Notes (PDF), Notes (HTML)

• Functional Analysis (Weiwei Hu, Spring 2022)

  Notes (PDF), Notes (HTML)

• Sheaf Cohomology (Valery Alexeev, Spring 2022)

  Notes (PDF), Notes (HTML)

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

  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)