Research
Conferences Organised
Number Theory Down Under 11, September 4-7 2023 [website]
Papers / Preprints
Effective Galois Descent for Motives: The K3 Case (submitted) [arXiv copy]
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 [superseded by "Differential operators..."]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]
Invited Seminar Talks
Australian National University MSI Colloquium, Who cares about the Tate conjecture?, October 2023
University of Melbourne Algebra Seminar, A descent theorem for K3 surfaces, August 2023
University of Sydney Algebra Seminar, A descent theorem for K3 surfaces, May 2023
Australian National University Arithmetic Geometry Seminar, Introduction to the Kuga-Satake construction, 5 lectures, September - October 2022 (notes)
UNSW at ADFA Number Theory Seminar, Fields of Definition of Motives, September 2022
Australian National University Algebra and Topology Seminar, Effective Galois Descent for Motives: The K3 Case, August 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
Conference Presentations
AustMS Annual Meeting 2022, Motives of K3 surfaces, December 2022 (board talk)
Number Theory Down Under 2022, Galois descent for motives, September 2022 (talk)
BU-Keio-Tsinghua Workshop 2022, Effective Galois Descent for Motives: The K3 Case, June 2022 (talk)
Upstate Number Theory 2021, CM Motives in Positive Characteristic (board 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)