During my PhD I am focussing on problems using the circle method in order to count rational points on varieties. In particular, I am working on problems related to Manin's conjectures.
In the past I have done some research on Artin L-functions and Maass forms joint with Thomas Oliver. During my Master's project I investigated von Mangoldt functions attached to Galois representations of function fields, and how random matrix theory can help us to understand them in short intervals (article below). Here is an accessible summary about this project.
On the side I have also been involved in some applied projects.
Publications & Pre-prints:
Systems of bihomogeneous forms of small bidegree, 2023, arXiv
On a question of Davenport and diagonal cubic forms over F_q(t) (with Jakob Glas), 2022, arXiv
Variance of sums in short intervals and L-functions in F_q[t], 2021, J. Number Theory, arXiv
Ratios of Artin L-functions (with T Oliver), 2021, J. Number Theory, arXiv
Accurate forecasts of the effectiveness of interventions against Ebola may require models that account for variations in symptoms during infection (with WS Hart, RN Thompson, NJ Cunniffe, H Lee, N Nishiura), 2019, Epidemics
Cumulation, crash, coherency: A cryptocurrency bubble wavelet analysis (with Wolfgang Frühwirt, L Weydemann, S Roberts), 2020, Finance Research Letters, pdf