Finn McGlade

Finn McGlade
PhD Candidate
Pronouns: he/him/his

Department of Mathematics
University of California San Diego
La Jolla, CA 92093
(Land Acknowledgment)
Reception Phone: +1 858 534 3590
fmcglade AT ucsd DOT edu

Headshot courtesy of Carlos Rios-Dominguez

I am a Ph.D. student studying Algebra and Number Theory at UCSD since September 2019. Before then, I was an undergraduate at The University of Melbourne. My academic advisor is Aaron Pollack and my thesis work is on Fourier coefficients of automorphic forms. For a copy of my CV click here.

Research

Fourier Coefficients and Algebraic Cusp Forms on U(2,n) (with Anton Hilado and Pan Yan), preprint
The Quaternionic Maass Spezialschar on split SO(8) (with Jennifer Johnson-Leung, Isabella Negrini, Aaron Pollack, and Manami Roy), preprint
Positive Level, Negative Level, and Level Zero (with Arun Ram and Yaping Yang), Springer Proceedings in Mathematics & Statistics, 332 (2020), 153-194

Teaching

Spring 2023: Math 20D (Differential Equations)

Presentations

Cuspidal D₄-Modular Forms are Determined by Their Slice Primitive Fourier Coefficients, at TORA XIII, University of North Texas, Denton (April 2024) slides
A Level 1 Maass Spezialschar for Modular Forms on SO₈ (long version), at University of Arizona Algebra and Number Theory Seminar, Tucson. (November 2023) slides
A Level 1 Maass Spezialschar for Modular Forms on SO₈ (short version), at 1189th Meeting of the American Mathematical Society, Creighton University. (October 2023) slides
Exceptional Algebra and G₂ Modular Forms, UCSD Graduate Student Workshop in Algebra, Number Theory, and Algebraic Geometry, San Diego. (December 2021) slides
Wild p-Structures, UCSD Zoom for Though Seminar, online. (December 2020) (video)
Positive Level, Negative Level, and Level Zero, at 1153rd Meeting of the American Mathematical Society, UC Riverside. (November 2019) slides