Dr Eloise Hamilton

BPhil (Hons), DPhil

Fellow (B)

College Roles

  • Old Students’ Jubilee Research Fellow (B)

Contact

Email: eloise.hamilton@newn.cam.ac.uk

Biography

Dr Eloise Hamilton is currently the Old Students’ Jubilee Research Fellow at Newnham College, working in the Department of Pure Mathematics and Mathematical Statistics. During the 2020-2021 academic year she was a post-doctoral fellow of the Fondation des Sciences Mathématiques de Paris at the CNRS (French National Scientific Research Council), working in the joint maths department of Sorbonne Université and Université de Paris.

In 2020 Eloise completed a DPhil in Pure Mathematics at the University of Oxford. Her postgraduate studies were supported by a John Monash Scholarship, as well as an Australian Bicentennial Scholarship from King’s College London.

Her undergraduate studies were completed at the Australian National University in 2016, where she obtained a Bachelor of Philosophy (Science) with Honours in Mathematics and a University Medal.

Research Interests

Dr Eloise Hamilton is a pure mathematician working in the area of algebraic geometry, a field of mathematics which studies the geometry of solutions to polynomial equations. Her research focuses on classification problems in algebraic geometry, in particular on the construction and study of moduli spaces. Many important problems in mathematics can be formulated as classification problems, and moduli spaces represent a powerful tool for solving such classification problems.

Eloise works on applying a recently developed theory called Non-Reductive Geometric Invariant Theory to the construction and study of new moduli spaces. She is currently studying classification problems involving geometric objects such as Higgs bundles, quiver representations and curve singularities.