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- Kate Saunders (in progress; MSc 2020): Rankin-Cohen brackets
- Daniel Johnston (in progress; MSc 2020): Atkin-Lehner operators and newforms in positive characteristic
- Zekun Ji (Vacation scholar 2019): Galois representations
- Brian Waxmann (MSc 2019): Constant in $\sum_{n\leq X} \pi(n)^{-1}$
- Lynn Engelberts (Vacation scholar 2019): Implementation of modular forms algorithms in Julia and Nemo
- Zhehao Li (MSc 2018): Trace formulas and their applications
- Owen Colman (MSc 2018): A geometric approach to Maass' operator on Siegel modular forms
- Abdullatif Abdulrahman M Altheyab (MSc 2018): Conics and elliptic curves in number theory and cryptography
- Hanter Wibawanti (MSc 2016): Quasimodular forms
- Angus McAndrew (MPhil 2015): Galois representations and theta operators for Siegel modular forms
- James Withers (MPhil 2014): Explicit computation of Hecke module structure on spaces of modular forms
- Robert Sayer (MSc 2014): The paramodular conjecture
- Max Flander (PhD 2014): Operators for Siegel modular forms (mod p)
- Angus McAndrew (MSc 2013): Modular forms and Maeda's conjecture
- Leon Di Stefano (MSc 2013): Geometry of Gaussian graphical models.
- Mitchell Brunton (Vacation scholar 2013): Multiple zeta values
- Angus McAndrew (Vacation scholar 2012): Comparison of integer relation algorithms
- Sam Chow (MPhil 2012): Distinguishing modular eigenforms (mod p)
- Scott Mullane (MSc 2011): Vanishing of sheaf cohomology
- Matt Collins (Hons 2011): Representations of algebraic Heisenberg groups
- Peter Humphries (Vacation scholar 2009): Computing dimensions of spaces of modular forms of weight one over the complex numbers