Recent MSc and PhD topics

MSc Dissertations

Mathematical Modelling of the Spead of Disease using Contact Networks
A Classical and a Bayesian Approach to Linear Ill -Posed Inverse Problems
Infinite antichains of permutations and permutation graphs
Building up the bigger picture of turbulence, Including the tripple cascade
Introduction to Momentum Maps
Topics in Bayesian Inverse Problems
Bifurcations of Transition States
The Duflo Isomorphism for Lie Algebras and Lie Superalgebras
Investigation into the Spectra of Selected Operators Associated with Determinantel Point Processes
McShane's Identity
Optimal Vaccination Strategies for Spatially Structured SIR Disease Models
2D Discrete Radon Transform for Digital Data
Continuous Rankings of infinite utility Streams
Multi-Scaling in Reaction-Diffusion Systems: a Kinetic Monte Carlo approach
Calculating the number of rational points on elliptic curves with j-invariant 0 or 1728 over finite fields
Fermi Acceleration in the Fermi-Ulam Model
Topics on Bianchi Modular Groups
Ratner's Theorem on SL(2,R) - Invariant Measures
Geodesic Flows of Anosov Type
Varifolds and Vector-Valued Measures

PhD Theses

Representation Theory of Rank Two Kak-Moody Groups
Six-Wave Systems in One Dimensional Wave Turbulence
Rational Maps with Clustering and the Mating of Polynomials
Detection and Decoding Algortihms for nanoscale data Storage.
Heights on Elliptic Curves Over Number Fields, Period lattices and Elliptic Logarithms.
Modular Symbols Over Number Fields
S-Integral Points on Hyperelliptic Curves
Some Topics In Horogenization
Modular and Reciprcity Approaches to a family of Diophantine Equations
On Embeddings and Dimensions of Global Attractors Associated with Dissipative Partial Differential Equations
Pseudo-Differential Operators, heat calculus and index theory of groupoids, satisfying the Lauter-Nistor condition
On the Lebesque-Nagell Equation and Related Subjects
Exponentially Small Splitting of Invariant Manifolds near Hamiltonian-Hopf Bifurcations.
Categorical and Geometric aspects on non-commutative algebras: Mutations, tails and perversities.
Universal Frechet Sets
Resolutions of Foliations of real lie algebras
Applications of Mohl Methods on Function Spaces
Conjugacy and Subgroups of Hyperbolic Groups
Complete Non Compact CMC Surfaces in Hyperbolic 3-Space
Deformations of Plane Curve Singularities and the S-Constant Stratum
Some Examples of the Spatial Evolution of Two-Parameter Processes with Non-Adapted initial conditions
Approximation Methods for Multidimensional Problems Applications in Exotic Option Pricing
Infinite Dimensional Sampling
Analysis of Gradient Descents in Random Energies: Applications to Heat Baths
Transient Growth in Separated Flows
Irregular Sets and Conditional Variational Principles in Dynamical Systems
Some Examples of the Spatial Evolution of Two-Parameter Processes with Non-Adapted initial conditions
Key Varieties for Surfaces of General Type
Stochastic Travelling waves driven by One-Dimensional Wiener Processes
Generalizations of non-commutative unique factorization rings
Stability and Instability of Hamiltonian Systems with Two Time Scales
Meshfree Numerical Methods and their Application in Cell Biology
Slowly-Coalescing Brownian Motion on the Line