I am a second year PhD student in the theoretical physics group. My interests lie in the application of geometry and topology to condensed matter systems.
My supervisor is Jasper van Wezel, with whom I am working on charge density waves and chiral charge order. We are using a combination of quantum field theory and microscopic models to investigate the novel electronic ordering properties of dichalcogenides (specifically niobium diselenide and titanium diselenide).
I am also supervising, with Prof. John Hannay, a 4th year project investigating why snowflakes are symmetrical. Our student John Watts is applying a combination of analytical and numerical methods (cellular automata) to model snowflake growth, with the aim of testing the growth's robustness to perturbations.
Starting in September I will be supervising a 4th year project entitled "Majorana Modes, Superconducting Vortices, and String Theory".
The project will involve solving the Bogoliubov deGennes equation (Schrödinger equation plus pair creation) numerically, then solving analytically for the special case of zero energy (Majorana) modes. A mapping exists between p-wave superconductors confined to a region of radius R and s-wave superconductors excluded from a region 1/R by a flux vortex. The aim of the project is to use the analytic solutions for the Majorana modes to see how states transform under this mapping. This knowledge should be able to shed further light on the R-to-1/R duality, and whether this has any relation to the so-called "T-duality" in string theory.
I previously worked with Prof. Balázs Györffy (1938-2012) on the topology of the quantum Hall effect. Balázs was a brilliant man and an exceptional physicist, and I miss him a great deal.
2005 - 2010: MPhys, Oxford University
2010 - 2011: MSc, Perimeter Institute for Theoretical Physics
2011 - Present: PhD, Bristol University
1st year Essential Maths for Physics:
Click here for my notes on Fourier analysis using Dirac notation.
Click here for my notes on the chain rule.
I was previously a teaching assistant for the 4th year 'Advanced Quantum Mechanics' course run by Prof. John Hannay, and the 4th year 'Relativistic Fields' course run by Dr. Mark Dennis. If you have any questions about these subjects now that the pressure of exams is off please email or come to my office (4.21a) and I will be very happy to discuss them.
Notes to accompany talks I have given:
Click here for the notes accompanying my talk on Faddeev Popov ghosts and their rôle in gauge fixing quantum field theories.
Click here for the notes accompanying my talk on the Gott time machine and its possible realization in condensed matter systems.
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