Research and presentations

Topics in the Theory of Fourier Decoupling. Thesis, UCLA, 2025. Accessible at Proquest.

Sparse mean value estimates, algebraic number solution counting, and non-Archimedean Fourier Analysis. https://arxiv.org/abs/2503.20015

High-low analysis and small cap decoupling over non-Archimedean local fields. https://arxiv.org/abs/2409.09163

Restricted projections and Fourier decoupling in $\mathbb{Q}_p^n$. Joint with Zuo Lin. https://arxiv.org/abs/2406.19473

Small cap decoupling for the parabola with logarithmic constant. https://arxiv.org/abs/2305.00125.

Restriction theory, p-adic analysis, and the decoupling bargain. Presented in the UW-Madison Analysis seminar, September 24 2025.

"L^p maximal estimates for quadratic Weyl sums," after R. Baker. Presented at the "Kopp Summer School: Discrete Directions in Harmonic Analysis," in Kopp, Germany, September 4 2025. Slides available here.

"The multilinear circle method and a question of Bergelson," after Kosz, Mirek, Peluse, and Wright. Presented at the "Reading Groups in Analysis 2025" workshop at the University of Pennsylvania, August 6 2025. Joint with Lars Becker, Guo-Dong Hong, Kaitlyn Loyd, Jianghao Zhang. Slides available here.

Topics in the Theory of Fourier Decoupling, thesis defense talk. Presented at UCLA on June 3 2025. Slides available here.

Fourier analysis, decoupling, and curvature over non-Archimedean local fields. Presented at the "AMS Special Session on Harmonic Analysis, Partial Differential Equations, and Spectral Theory associated with Invited Address by Matthew Blair," October 26 2024, AMS Western Sectional, Riverside, CA. Based on joint work with Zuo Lin, currently at UC Berkeley. Slides available here.

Exceptional set estimates for projection theorems over non-Archimedean local fields. Presented at the UCSD Group Actions seminar, October 24 2024.

Some Considerations for Efficient Fourier Decoupling. Online seminar talk, published November 27 2024. Recording accessible here.

Fourier analysis, decoupling, and curvature over non-Archimedean local fields. Presented at the "AMS Special Session on Harmonic Analysis, Geometric Measure Theory, and Fractals," January 3 2024, Joint Mathematics Meetings, San Francisco. Based on joint work with Zuo Lin, currently at UC Berkeley. Slides available here.

Small cap decoupling for the parabola with logarithmic constant. Advancement to Candidacy presentation. UCLA 2022.