I've just finished my MSci in Mathematics with Theoretical Physics at University College London. I wrote my MSci project on Bost-Connes type systems, which are C* dynamical systems that capture isomorphism classes of number fields. During my time there, I also founded and organized the UCL Maths Undergrad Colloquium. It's a weekly seminar series given by and for undergraduate maths students.
I'm very enthusiastic about mathematics, and – as expected this early in my career – my interests are all over the place: noncommutative geometry, algebraic number theory, ergodic theory, quantum field theory, and quantum computing. Starting this September I'll be pursuing a Ph.D. under the supervision of Professor Shahn Majid at Queen Mary University of London.
Master's Project - download pdf
Quantum Statistical Mechanics and Galois Theory, investigating interplay between quantum statistical mechanics and number theory. I worked under the supervision of Professor Minhyong Kim and Dr. Javier Lopez Peña
Recent Write-ups
- Category Theory and Etale Groupoids of Q-lattices of the Bost-Connes System.
- Groupoid Convolution Algebras and Their Completions to C*-algebras.
Selected UCL Coursework
Spectral Theory, Differential Geometry and Topology, Representation Theory, Algebraic Geometry, Quantum Computation and Communication, Relativistic Waves and Quantum Fields (QMUL), Measure Theory, *Probability, Functional Analysis, Real Analysis, Complex Analysis, Algebraic Number Theory, Algebraic Topology, *Galois Theory, General Relativity, Analytical Dynamics.
*Listening only, did not sit exam.
Past Maths Talks
- Fun and Games with X and f: A talk on Ergodic Theory Notes
- Noncommutative Geometry and Hilbert's 12th Problem Notes
- Integrals, L Functions, Prime Numbers: A Short Tour of Analytic Number Theory. Notes
- Problem Class in General Topology. Notes
- General Topology and the Quotient Space, With Nadine Amersi. Notes