Research
Summer Research Projects 2017
| Student Name | Project Title | Supervisor |
| Letizia Angeli | Feynman-Kac models for large deviation conditioning problme | Stefan Grosskinskey |
| Eleanor Archer | Resistance and Random Walks on loop trees | David Croydon |
| Luke Hatcher | A phase field model for domain formation for small displacements of a spherical membrane | Charlie Elliott |
| Philip Herbert | Small deformations of energy minimising biomembrances by adhesion to particles | Charlie Elliott |
| Shannon Horrigan | Phase transition in Deleaunay Potts Models R2 with tile interactions | Stefan Adams |
| Zak Lawrence | Spectral approximation of an Ab Initio Energy | Christoph Ortner |
| Stephen Pidgeon | Large deviations for (1+1) dimensional Laplacian models | Stefan Adams |
| Georgios Vasdekis | Non reversible Markov processes and zig-sag | Gareth Roberts |
| Quirin Vogel | Surface tension of stochastic gradient models | Stefan Adams |
Summer Research Projects 2016
| Student Name | Project Title | Supervisor |
| Georgios Andriopoulos | "Near" Local time continuity for G-W Trees | David Croydon |
| Maciej Buze | Atomistic models for crystal defects | Christoph Ortner |
| Lewis Church | Numerical approximation of a Stefan Problem on an evolving surface | Charlie Elliott |
| Matthew Collins | Asymptotic methods for Phase Field Models | Andreas Dedner |
| Matthew Dickson | Equivalence of Ensembles of Mean Field Boston Gases | Stefan Adams |
| William Fitzgerald | The supermum of Dyson Brownian Motion | Jon Warren |
| Matthew Galton | Central limit theorums for slowing fixing dynamical systems | Ian Melbourne |
| John Herman | Stochastic Duality of Markov Processes with Applications | Vassili Kolokoltsov |
| Katharina Hopf | Stable formation of singularity for a classial chemotaxis model | Jose Rodrigo |
| Ifan Johnston | Psudo-differntial operators on bounded domains generating Markov processes | Vassili Kolokoltsov |
| Kamil Kosiba | Oscillation and concentration pheomena in sequences of functions | Filip Rindler |
| Barinder Matharu | Central limit theorems for the linear random walk on the torus | Ian Melbourne |
| Jesse Pritchard | Preliminary parameter studies of Rayleigh-Benard convection | James Sprittles |
| David Woodford | Lamperti transforms fo self similar Markov process | Larbi Alili |
Summer Research Projects 2015
| Student Name | Project Title | Supervisor |
|
Theodoris Assiotis |
Orthogonal Polynomials, Non Colliding Diffusions and Extended Kernels | Neil O'Connell |
| Neil Chada | Reduced Basis-EnKF Method for Inverse Problems | Andrew Stuart |
| Lloyd Connellan | Transparent Boundary conditins applied to Atmospheric problems | Andreas Dedner |
| Adam Nix | Mathematical Computation in Cell Biology | Charles Elliott |
| Wojciech Ozanski | Monge-Ampere equation and the 2D Navier Stokes equations | James Robinson |
| Pavlos Tsatsoulis | Solutions to the Stochastic Quantisation Equatiions | Hendrik Weber |
| Curtis Wilson | Decay Estimates for Minimiser of Lattice Energy of Multilattices with Point Defects | Christoph Ortner |
Summer Research Projects 2014
Student Name |
Project Title |
Supervisor |
| Adam Bowditch | Biased Random Walks on subcritical Galton-Watson Trees Conditioned to Survive | David Croydon |
| Qiaochu Chen | Particle Filtering and Parameter Inference for the CIR Model | Gareth Roberts |
| Oliver Dunbar | Knot energies in the numerical detection and prevention of self-intersecting moving membranes | Bjorn Sinner |
| Jake Dunn | Stability Problems in AdS Spacetimes | Mario Micallef/ Claude Warnick |
| Matthew Egginton | Solutions of the Boltzmann Equation corresponding to an Invariant Manifold of Molecular Dynamics | Florian Theil |
| Rodolfo Gameros Leal | Traffic in Poissonian Line Networks | Wilfrid Kendall |
| Yulong Lu | A Bayesian Level Set Method for Geometric Inverse Problems | Andrew Stuart |
| Jamie Lukins | On the Asymptotic Density of an Infinite System of Coalescing Random Walks | Roger Tribe |
| Annagloria Santello | Corruption as an evolutionary theoretic game | Vassili Kolokoltsov |
| Jack Skipper | Besov Spaces and Parabolic Systems | James Robinson |
| John Sylvester | The cover cost of a random walk on a random graph | Agelos Georgakopulos |
| Luke Williams | Aspects of Symmetry Breaking in Equilibrium Statistical Mechanics | Florian Theil |
Summer Research Projects 2013
Student Name |
Project Title |
Supervisor |
| Matthew Dunlop | The support theorum | Andrew Stuart |
| Adam Griffin | Convergence to Equilibrium in Granular Media and Related Equations | Simon Spencer |
| Graham Hobbs | Monge Gauge with Point Particles | Charlie Elliott |
| Jere Koskela | The Spatial Lamda-Fleming-Viot Process: Modelling and Inference in Population Genetics | Dario Spano |
| Benjamin Lees | Probabilistic representations of qantum spin systems | Daniel Ueltschi |
| Jorge Lindley | Enstrophy and Temperatrue Gradient Production for Vortices in Stratified Flow | Robert Kerr |
| Felipe Medina Aguayo | The Pseudo-Marginal approach to MCMC | Gareth Roberts |
| Fazian Nazar | Electronic Structure of Defects in the Thomas-Fermi-von-Weisz acker Model of Crystals | Christoph Ortner |
| David O'Connor | Surface Cahn-Hilliard Equation | Bjorn Stinner |
| Huan Wu | Atomistic-to-contium coupling | Christoph Ortner |
Summer Research Projects 2012
Student Name |
Project Title |
Supervisor |
| Maha Al Harji |
Spatial Modelling and Simulation of Ran-driven Nuclear Transport |
Markus Kirklionis |
| Amal Alphonse |
Cell Motility: Modelling and Analysis |
Charlie Elliott |
| Simon Bignold |
Density Functional Theory: The Classical Hard-Core Gas |
Christoph Ortner |
| Tessa Colledge |
Free Energy and Large Deviations for 1-Dimensional Pinning Models |
Stefan Adams |
| Owen Daniel |
Phase Transitions in the Random Stirring Process on Infinite Graphs |
Stefan Adams |
| Barnaby Garrod |
The Infinitesimal Pairwise Immigration model |
Roger Tribe |
| Alexander Kister |
Loop-Erased Random Walks and Schramm-Loewner-Evolutions |
Stefan Adams |
| Chin Lun |
Eigenvalues of a Hermitian matrix of Brownian motions with drift |
Jon Warren |
| Yuchen Pei |
RSK Correspondence and Pitman's Theorem |
Neil O'Connell |
| Abhisek Shukla |
The Bayesian Approach to Inverse Problems |
Andrew Stuart |
| Matthew Thorpe |
Multi Target Tracking as Applied to Telecommunications |
Florian Theil |
Summer Research Projects 2011
Student Name |
Project Title |
Supervisor |
| Don Praveen Amarasinghe | A Mathematical Foundation for Density Functional Theory- A Statistical Mechanics Approach. | Stefan Adams |
| Aylwin Andrew | First Passage Times for Levy Processes | Llarbi Alili |
| Charles Brett | Inverse Problems Including Interfaces and Free Boundaries | Charlie Elliott |
| Michael Eyres | What are the Possible Conformal Invariance Principles for Voronoi Percolations? | Stefan Adams |
| Adam Hall | Pharmacokinetic and Pharmcodynamic Modelling of the Anti-Malarial Drug Artemisinin | John Aston |
| Andrew Lam | Surface Phase-Field Methods. | Bjorn Stinner |
| Pravin Madhavan | Discontinuous Galerkin Methods for Surface Partial Differential Equations | Andreas Dedner |
| David McCormick | Limit States for the Euler Equations and Magnetohydrodynamics | James Robinson |
| Chris Pettitt | A Review of Computational Methods in Population Genetics | Dario Spano |
| Michael Scott | Stochastic Partial Differential Equations on an Evolving Surface | Martin Hairer |
| Maria Veretennikova | Control Fractional Dynamics with Applications to Games and Finances | Vassili Kolokoltsov |