This is where an online copy of some talks I have prepared will go. This page partially serves as a place for individuals to get a scope of my interests, and partially for me to keep an online copy of my slides/write-ups (which will eventually be uploaded).
- Bogolyubov's lemma and Bohr sets (January 2026)
Part of a sequence of talks given by students at the end of a selected topics course at the University of Bonn on higher-order Fourier analysis. The talks aimed to present a proof of the inverse theorem for the U3 Gowers norm on arbitrary finite abelian groups as done in this paper. My talk focused on preliminary results: Bogolyubov's lemma, a statement about gauranteeing a large Bohr set in 2A - 2A, and its further generalization when A is the subset of a Bohr set, the latter making use of some Fourier-analytic properties of Bohr sets. - Kloosterman sums and applications to the circle method (December 2025)
Delivered as part of a graduate seminar at the University of Bonn, covering the delta symbol method of Heath-Brown, which establishes a quantitative Hasse principle for quadratic forms. I went through some classic properties of Gauss and Kloosterman sums, before applying them to produce explicit formulae for the prime terms of the singular series. The results I presented here were to be used in subsequent talks to prove the results obtained in the original paper. - Progression-free sets in ℤ4n (September 2025)
Presentation delivered at the Kopf Summer School, whose focus was on discrete directions in harmonic analysis. This talk went through the proof by Croot, Lev, and Pach, directly following this paper. - Square Differences and Undergraduate Research (March 2025)
Invited speaker for UBC Math's undergraduate colloquium. The talk highlighted easy to understand components of some of the research I did the previous summer, as well as focused on some of the day-to-day experiences as an undergraduate researcher for students currently looking to get more involved. - Proving Fermat's Last Theorem mod p (March 2025)
Delivered a talk for UBC's math circle, a weekly meeting for local high schoolers interested in mathematics. I went through graph theoretic approach to (dis)proving Fermat's Last Theorem modulo a prime. The presentation was based off of the introduction to Yufei Zhao's book, as well as material presented in a course I was taking at the time. - An Introduction to the Fractal Uncertainty Principle (December 2024)
Made for credit in an introductory harmonic analysis course, UBC's Math 404/541. Introduces what the fractal uncertainty principle is, similar to Dyatlov's introductory article, but more aligned with what students of the class had covered. - UBC Math 220 Review Session (December 2024)
Hosted a review session for UBC's introduction to proofs course, to help prepare students for their final exam. - A Look at the Fourier Transform (July 2024)
An expository talk for a general undergraduate audience at the Canadian Undergraduate Mathematics Conference. Focused on a heuristic understanding of what the Fourier transform is, based off of the many different places it pops up (Fourier series, the discrete Fourier transform, etc.). - Density Increment Strategies (June 2024)
A talk delivered at a weekly seminar for current UBC undergraduate summer researchers in mathematics. Based off of the first section of these notes by Julia Wolf and the first lecture of these notes by Thomas Bloom. - Avoiding Patterns in Sets: the Erdős Similarity Problem (July 2023)
Intended for a general undergraduate audience at the Canadian Undergraduate Mathematics Conferences. Built up an understanding of what the Erdős Similarity Problem was, as well as some known results and their implications.