Research

Papers / Preprints

Effective Galois Descent for Motives: The K3 Case (in preparation)
Refined Selmer equations for the thrice-punctured line in depth two. (submitted, joint with Alex J Best, L. Alexander Betts, Theresa Kumpitsch, Martin Lüdtke, Lie Qian, Elie Studnia, Yujie Xu, 2021) [arXiv copy]
Differential operators mod p: analytic continuation and consequences. (appeared, joint with Ellen Eischen, Max Flander, Alex Ghitza, Elena Mantovan, 2021). [arXiv copy]
Theta operators on Siegel modular forms and Galois representations. (preprint, joint with Alex Ghitza, 2016). [superseded by "Differential operators..."]
Experimental Evidence for Maeda's Conjecture on Modular Forms. (appeared, joint with Alex Ghitza, 2012). [arXiv copy]

BU-Keio-Tsinghua Workshop 2022, Effective Galois Descent for Motives: The K3 Case, June 2022
Boston University Number Theory Seminar, CM and K3 Surfaces, or, How I Learned to Stop Worrying and Love the Clifford Algebra, November 2021
University of Oregon Number Theory Seminar, Differential operators on automorphic forms and Galois representations, March 2019
Boston Graduate Mathematics Colloquium, Northeastern University, Fantastic Galois representations and where to find them, December 2017

Upstate Number Theory 2021, CM Motives in Positive Characteristic (talk)
Capital Number Theory 2016, Theta Operators on Hecke Eigenvalues (talk)
Number Theory Down Under 2015, Differentiation of Siegel Modular Forms (poster)
AustMS Annual Meeting 2015, Galois Representations for Siegel Modular Forms (talk)
Number Theory Down Under 2014, Theta Operators and Galois Representations for Siegel Modular Forms (talk)
AustMS Annual Meeting 2012, Experimental Evidence for Maeda's Conjecture on Modular Forms (talk)

Galois Representations and Theta Operators for Siegel Modular Forms. (2016) [pdf copy]
Maeda's Conjecture on Elliptic and Siegel Modular Forms. (2013) [pdf copy]