Eliza Somerville

Philippa Fawcett Internship | University of Cambridge

• In July and August 2024, I undertook a two-month research project in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, funded by the Philippa Fawcett Internship Programme.
• My group's project was supervised by Dr Grigalius Taujanskas, and involved investigating the asymptotic decomposition of a charged scalar field in de Sitter space. 

Hamilton Trust Internship | Trinity College Dublin

• In May and June 2024, I participated in the Hamilton Trust Summer Mathematics Research Internship at Trinity College Dublin, in a group with Alexander Farren and Mikey Whelan.
• Our project was supervised by Prof. Ruth Britto, and involved a study of the symbol alphabet of one-loop Feynman integrals in quantum field theory.

Capstone Project | Trinity College Dublin

• During the 2023–2024 academic year, I completed my capstone project at Trinity College Dublin under the supervision of Prof. Ruth Britto.
• My project was on the coalgebra structure of Feynman integrals, with a particular focus on the diagrammatic coaction.

Summer Studentship | Dublin Institute for Advanced Studies

• In June and July 2023, I undertook a summer studentship in the School of Theoretical Physics at the Dublin Institute for Advanced Studies, which consisted of a group project in collaboration with three other students.
• My group's project was supervised by Dr Aradhita Chattopadhyaya, and was based on the computation of black hole entropy via microstate counting of systems of 1/4 BPS dyons in type IIB string theory.

Plotted using the Python package cplot.

Real-World Mathematical Modelling Event | Trinity College Dublin

• In May 2023, I participated in a three-day Mathematical Modelling Hackathon in Trinity College Dublin, in a group with Alexander Farren, Ben McGloin and Mikey Whelan.
• We developed an evolutionary algorithm in Python designed to optimise the constituency boundaries of Ireland according to the criteria outlined in the Irish Constitution.

Plotted using the Python packages matplotlib and GeoPandas.

Independent Project

• A project in collaboration with Alexander Farren.
• We generated animations of soliton dynamics in Mathematica, and produced an accompanying report outlining the basic theory of solitons in one spatial dimension.