Working with Amec Foster Wheeler on Monte Carlo methods for the neutron transport equation via branching processes. Emma graduated from the University of Bath in 2016 with an MMath in Mathematics. She has undertaken several undergraduate and summer projects in probability, covering topics such as Lévy processes, condensation and branching processes. Her final year project involved looking at various representations of multi-type branching processes. In her spare time, Emma enjoys playing hockey and squash, and generally loves being outdoors.

Research project title:
Monte Carlo methods for the neutron transport equation via branching processes

Supervisor(s):
Andreas Kyprianou, Alex Cox, Paul Smith

Project description:
The neutron transport equation (NTE) is a balance equation that describes the flux of neutrons in inhomogeneous fissile mediums such as nuclear reactors. Working in collaboration with Wood plc, Emma modelled nuclear fission reactions via the probabilistic theory of Markov branching processes in order to both unify existing theory and develop new theoretical and numerical techniques that allowed her to study these processes in full generality. In particular, Emma worked to prove the existence of the leading eigenvalue and its corresponding eigenfunction, allowing her to study the limiting behaviour of the system of particles in different regimes. The methods developed allow for more efficient simulations of these processes, providing a greater depth of understanding of such systems for the purpose of safety and optimal reactor design.