Previous PhD students

Members of the Analysis Group have supervised a number of PhD students over the years.

A list of those students who have submitted theses to the University repository are below. (Some have not done this and they are not listed here.)

• Ricky Hutchins (2024). Non-linear quotient mappings of the plane and inscribed equilateral polygons in centrally symmetric convex bodies. Supervisor: Olga Maleva.
• Constantin Bilz (2023). On the regularity of Fourier transforms and maximal functions. Supervisors: Diogo Oliveira e Silva and Jonathan Bennett.
• Gianmarco Brocchi (2022). Sharp and optimal inequalities in harmonic analysis. Supervisors: Maria Carmen Reguera and Jonathan Bennett.
• Jennifer Duncan (2022). A global approach to nonlinear Brascamp-Lieb inequalities and related topics. Supervisor: Jonathan Bennett.
• Andrew Turner (2021). Quadratic estimates and functional calculi for inhomogeneous first-order operators and applications to boundary value problems for Schrödinger equations. Supervisor: Andrew Morris.
• Adam Horwich (2019). Almost-everywhere convergence of Bochner-Riesz means on Heisenberg-type groups. Supervisor: Alessio Martini.
• Cristina Villanueva Segovia (2018). Properties of Lipschitz quotient mappings on the plane. Supervisor: Olga Maleva.
• David Beltran Portalés (2017). Geometric control of oscillatory integrals. Supervisor: Jonathan Bennett.
• Brian Taylor (2017). Aspects of anisotropic harmonic analysis beyond Calderón-Zygmund Theory. Supervisor: Jonathan Bennett.
• Christopher Jeavons (2015). Optimal constants and maximising functions for Strichartz inequalities. Supervisor: Neal Bez.
• Rashad Rashid Haji Lak (2015). Harmonic analysis using methods of nonstandard analysis. Supervisor:
• Michael Dymond (2014). Differentiability and negligible sets in Banach spaces. Supervisor: Olga Maleva.
• John Meyer (2013). Theoretical aspects of the Cauchy problem for non-Lipschitz semi-linear parabolic partial differential equations. Supervisor: David Needham.
• Andrew Bailey (2012). Some results in harmonic analysis related to pointwise convergence and maximal operators. Supervisor: Jonathan Bennett.
• Waleed Mostafa Kamal Abdelfatah Abuelela (2010). Hardy type inequalities for non-convex domains. Supervisor: Alexander Sobolev.
• Samuel Harrison (2010). Control of oscillatory convolution operators via maximal functions in weighted L² inequalities. Supervisor: Jonathan Bennett.