talks
Here is a list of more-or-less every talk I've ever given.
Conference Talks
- Brauer groups of stacky curves, via the example of \(\mathscr Y(1)\) , AMS Fall Western Sectional Meeting , University of California, Riverside - Oct 2024 This was based on the work in this paper. My slides can be found here.
- On Brauer groups of stacky curves , Québec-Maine Number Theory Conference , Laval University - Oct 2024 This was based on the work in this paper. My slides can be found here.
- On the Brauer groups of stacky curves , Explicit Methods in Number Theory , Mathematisches Forschungsinstitut Oberwolfach (MFO) - Sep 2024 This was based on the work in this paper. I wrote an extended abstract for this talk, which you can find here.
- The average rank of elliptic curves is bounded, over any global field , The Mordell conjecture 100 years later , MIT - Jul 2024 This was based on the work in this paper. My slides can be found here.
- Integral Points on Varieties with Infinite Étale Fundamental Groups , GTA: Philadelphia 2024 , Temple University - Jun 2024 This was based on the work in this paper.
- An upper Bound for the Average Rank of Elliptic Curves over Global Function Fields, via 2-Selmer Groups , Joint Mathematics Meetings , San Francisco - Jan 2024 This was based on the work in this paper. My slides can be found here.
- On Gaps in the Closures of Images of Divisor Functions , Joint Mathematics Meetings , Baltimore - Jan 2019 This was based on the work in this paper. My slides can be found here.
Research Seminar Talks
- Brauer groups of stacky curves, via the example of \(\mathscr Y(1)\) , Rice AGNT Seminar , Rice University - Oct 2024 This was based on the work in this paper.
- The Brauer Group of Stacky \(\mathscr Y_0(2)\) , UW Number Theory Seminar , University of Washington - Apr 2024 This was based on the work in this paper.
- The Average Size of 2-Selmer Groups of Elliptic Curves over Function Fields , Harvard Number Theory Seminar , Harvard - Feb 2024 This was based on the work in this paper.
- The Average Size of 2-Selmer Groups of Elliptic Curves over Function Fields , Brown University Algebra Seminar , Brown Univeristy - Feb 2024 This was based on the work in this paper.
- The Average Size of 2-Selmer Groups of Elliptic Curves over Function Fields , Boston University Number Theory Seminar , Boston University - Jan 2024 This was based on the work in this paper.
Learning Seminar Talks
- The Mordell-Weil theorem and Chabauty's theorem , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Feb 2024
- An Overview of DGH's Proof of Uniform Mordell , Uniform Mordell Learning Seminar , Boston University - Feb 2024
- Automorphic forms for quaternion algebras I , Modularity/Fermat Seminar , MIT - Nov 2023
- Integral models of modular curves , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Nov 2023
- Galois Deformation Rings & Stating \(R=\T\) theorems , Modularity/Fermat Seminar , MIT - Oct 2023 I wrote notes for this talk, which you can find here.
- An Overview of the proof of Fermat , Modularity/Fermat Seminar , MIT - Sep 2023 I wrote notes for this talk, which you can find here.
- Complex Multiplication, Shimura-Taniyama formula , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - May 2023 I wrote notes for this talk, which you can find here.
- The descent obstruction , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Dec 2022
- Galois Reps at p , p-adic Hodge Theory Learning Seminar , Harvard - Oct 2022
- Local heights and Arithmetic Surfaces , Gross-Zagier Learning Seminar , Online - Jul 2022 I wrote notes for this talk, which you can find here.
- Étale Topology , Étale Cohomology Learning Seminar , Online - Jun 2022
- More on Hurwitz Spaces , Arithmetic Statistics Seminar , Harvard - Apr 2022
- Reparametrisation of Definable Sets , Harvard Number Theorists Seminar , Harvard - Apr 2022
- Proof of the New Gap Principle 1 , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Apr 2022
- Vojta's Approach to the Mordell Conjecture II , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Oct 2021 I wrote notes for this talk, which you can find here.
- Vojta's Approach to the Mordell Conjecture I , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Oct 2021 I wrote notes for this talk, which you can find here.
- Introduction to Class Field Theory , Juvitop Seminar , MIT - Feb 2021 I wrote notes for this talk, which you can find here.
- Homological Stability for Mapping Class Groups of Surfaces , IAP Kan Seminar , MIT - Jan 2021
- Forms of \(K\)-Theory , Kan Seminar , MIT - Dec 2020 I wrote notes for this talk, which you can find here.
- Quillen's Work on Formal Groups and Complex Cobordism , Kan Seminar , MIT - Nov 2020 I wrote notes for this talk, which you can find here.
- Cohomology Theories , Kan Seminar , MIT - Oct 2020
- Smooth and étale morphisms , Seminar on Topics in Arithmetic, Geometry, Etc. (STAGE) , MIT - Sep 2020
Other Talks
- Basic Properties of the Riemann Zeta Function , Stanford Math Directed Reading Program Colloquim Session II , Stanford University - Apr 2019