talks
Here is a list of more-or-less every talk I've ever given.
Conference Talks
- ' 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
- ' 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