| Supervisor | Available projects |
|---|---|
| Vladimir Dotsenko | 3 projects in algebra; topics would involve either applications of Gröbner bases (for that, 341D is a pre-requisite), or study of nonassociative algebraic structures like Lie algebras and their generalisations. |
| Paschalis Karageorgis | 3 projects related to either ODE or PDE. Students will be expected to study a recent research paper in a topic of their choice and that could involve applications in mathematical biology, finance or physics. |
| Marina Marinkovic | 1 project on the Monte Carlo methods in applied mathematics or Applications of Complex Systems. |
| Sergey Mozgovoy | 3 projects in algebraic geometry. |
| Andreea Nicoara | 4 projects in several complex variables. The projects will involve reading chapters 0, 1, 2, and 3 from Steven Krantz's The Function Theory of Several Complex Variables, and then there will be a choice of special topics such as peak functions, finite type, etc. |
| Colm O Dunlaing | 2 projects on topics related to algorithms or computational geometry and topology. |
| Elizabeth Oldham | 5 projects in the area of mathematics education. |
| Michael Purser | 2 projects in the general area of cryptology. Sample topics: secure remote access control; the "crypto" in crypto-currencies; bit streams (encryption (reversibly) scrambles; error-correction needs added check digits; compression reduces size); every even number can be represented as the sum of two primes; quadratic residues in cryptology; the Number Field Sieve. |
| John Stalker | 2 projects in any of the following areas: numerical solution of differential equations; calculus of variations; bifurcation theory. |
| David Wilkins | 5 projects in differential geometry, history of mathematics and other topics related to past modules. |
| Supervisor | Available projects |
|---|---|
| Bernardo Nipoti | 2 projects in the general area of Bayesian statistics. |
| Myra O'Regan | 1 project on machine learning techniques (the student will have to be taking ST4003 Data Analytics). |
| Arthur White | 2 projects on social networks; clustering models; recommender systems; health economics; survival analysis. |
| Simon Wilson | 1 project "Estimating galaxy red shift from photometric data". |
| Jason Wyse | 2 projects in the following areas: (a) Variable selection and model comparison and (b) Spatial and spatio-temporal statistical models. |
| Supervisor | Available projects |
|---|---|
| Ruth Britto | 3 projects in the subjects of scattering amplitudes, Feynman diagrams, elliptic functions, and hypergeometric functions. |
| Marius De Leeuw | 1 project on the relation between Fuss-Catalan algebras and integrable lattice models. |
| Sergey Frolov | A reading project with title "A path integral approach to quantum field theory" for up to 3 students who will meet as a group. The main textbook will be "Field Theory - A path integral approach" by Ashok Das. |
| Manuela Kulaxizi | 2 projects on the following topics: Cosmology, Holography, Higher spins. |
| Jan Manschot | 2 projects on the following topics: (1) Fractional quantum Hall effect and partition functions, (2) Partition functions of supersymmetric quantum field theories. |
| Tristan McLoughlin | 1 project with title "Deformed two-dimensional gravity" for up to 2 students and 1 project with title "\Near"-integrable anomalous dimensions" for 1 student. |
| Andrei Parnachev | 2 projects related to quantum entanglement, quantum hall transitions and holography. |
| Michael Peardon | 2 projects for students with a particular interest in numerical or computational topics. Possible titles: "The self-avoiding walk", "Meson scattering in the sigma model", "Quantum mechanical scattering and the energy spectrum in a finite volume", "Spin models on random graphs". |
| Alberto Ramos | 3 projects on Monte-Carlo simulations and/or data analysis using Quantum Mechanics and the path integral formalism |
| Sinead Ryan | 2 projects related to numerical and theoretical studies of particle physics and QCD. |
| Stefan Sint | 3 projects; possible topics include "Quantum mechanics in the path integral formulation", same for a scalar QFT instead of Quantum mechanics (in which case MA4445/6 should be taken), "Statistical mechanics, numerical approach by Markov chain Monte Carlo methods". |