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

MultiScaling in ReactionDiffusion Systems: a Kinetic Monte Carlo approach

Calculating the number of rational points on elliptic curves with jinvariant 0 or 1728 over finite fields

Fermi Acceleration in the FermiUlam Model

Topics on Bianchi Modular Groups

Ratner's Theorem on SL(2,R)  Invariant Measures

Geodesic Flows of Anosov Type

Varifolds and VectorValued Measures
PhD Theses

Representation Theory of Rank Two KakMoody Groups

SixWave 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

SIntegral 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

PseudoDifferential Operators, heat calculus and index theory of groupoids, satisfying the LauterNistor condition

On the LebesqueNagell Equation and Related Subjects

Exponentially Small Splitting of Invariant Manifolds near HamiltonianHopf Bifurcations.

Categorical and Geometric aspects on noncommutative 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 3Space

Deformations of Plane Curve Singularities and the SConstant Stratum

Some Examples of the Spatial Evolution of TwoParameter Processes with NonAdapted 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 TwoParameter Processes with NonAdapted initial conditions

Key Varieties for Surfaces of General Type

Stochastic Travelling waves driven by OneDimensional Wiener Processes

Generalizations of noncommutative unique factorization rings

Stability and Instability of Hamiltonian Systems with Two Time Scales

Meshfree Numerical Methods and their Application in Cell Biology

SlowlyCoalescing Brownian Motion on the Line