12/2022: On Phil Engel’s paper Looijenga’s conjecture via integral affine geometry
UGA Oral Exam, December 2022.
07/2022: Applications of Torelli: Faltings’ proof of the Mordell conjecture.
UGA Reading Group, July 2022
06/2022: The Annihilator of the Lefschetz Motive
The MIT Talbot Workshop, June 2022.
02/2022: Why Derived Geometry
UGA Graduate Student Seminar, February 2021.
11/2021: Betz-Cohen’s “Graph Moduli Spaces and Cohomology Operations”: The Equivariant Invariants
Reading group at UGA, November 2021.
09/2021: Catalan’s Conjecture, the Cases $q=2$ and $p=2$.
08/2021: Computing Volumes of Moduli Spaces
Mock AMS Conference, UGA.
Slides: to be posted.
07/2021: Grothendieck’s “On the de Rham Cohomology of Algebraic Varieties”
06/2021: The Adams Spectral Sequence.
06/2021: McDuff-Salamon “$J\dash$holomorphic Curves and Symplectic Topology” Seminar
Symplectic Reading Seminar at UGA.
Talk 1: Sufficient conditions for regularity
Talk 2: Examples of regularity, constrained curves
05/2021: Sarkar-Wang’s “An algorithm for computing some Heegaard Floer homologies”.
Heegaard-Floer homology course final presentation.
03/2021: An Overview of Stable Homotopy Theory
Graduate Student Seminar at UGA.
03/2021: Homotopy Groups of Spectra
Fall 2020: Floer Homology, Multiple Talks
Reading seminar at UGA.
06/2020: Interesting Topological Spaces in Algebraic Geometry
Mock AMS Conference at UGA.
04/2020: Zeta Functions and The Weil Conjectures, “Numbers of solutions of equations in finite fields”
CRAAG at UGA.
04/2020: Homotopy Groups of Spheres
UGA Graduate Student Seminar, UGA.
02/2020: Theorems/Conjectures on Periodic Orbits in Symplectic Geometry
Graduate Student Topology Seminar, UGA.
2019 and Earlier
Nov 2019: Homotopy Theory and the Kervaire Invariant One Problem
Graduate Student Topology Seminar, UGA
Oct 2019: Spectral Sequences: A Primer
Graduate Student Seminar, UGA
Sep 2019: Comparison Theorems in Cohomology: Singular, Simplicial, de Rham, and Čech
In-Class Talk, UGA.
Feb 2019: Mathematics Subject GRE Workshop
Society of Undergraduate Mathematics Students, UCSD.
06/2018: Homotopy and the Hopf Fibration (UCSD)
04/2018: Introduction to Markdown and Latex for Mathematics (UCSD)
02/2018: Topological Fixed Point Theorems (UCSD)
11/2017: Homology and The Snake Lemma (UCSD)
10/2017: Algebraic Geometry: A Historical Primer (UCSD)
10/2017: Introduction to Functional Programming (UCSD)
05/2017: Intermediate LaTeX (UCSD)
04/2017: Introduction to LaTeX (UCSD)
02/2017: Intermediate LaTeX (UCSD)
01/2017: Intermediate LaTeX: Organizing Large Projects (UCSD)
01/2017: Category Theory as a Mathematical Organizational Tool (UCSD)
11/2016: Introduction to LaTeX (UCSD)
11/2016: Introduction to Category Theory, Part 2 (UCSD)
10/2016: Introduction to Category Theory, Part 1 (UCSD)
10/2016: Haskell for Mathematicians (UCSD)
05/2013: Discrete Mathematics: An Overview of Graphs and Trees (Sierra College)
- Winter/Spring 2018: Undergraduate Research with Justin Roberts in Algebraic Topology (UCSD)