About me

PhD Research

I work in the intersection of geometric analysis and L-infinity variational problems.
Specifically, I study minimisers (and certain critical-point analogues) of L-infinity curvature functionals for geometric objects. For example, one can consider the L-infinity minimisation of the curvature of curves in Riemannian manifolds with prescribed length and boundary data ("infinity-elastica"), or the mean curvature of surfaces immersed in R^3 ("infinity-Willmore surfaces").
My PhD supervisor is Professor Roger Moser.

Academic Background

I graduated from Durham University in June 2020 with a first class Master's degree in Mathematics. I specialised in geometry and analysis modules; my Master's thesis was on Curve Shortening Flow and can be found here. If you spot any typos, please don't tell me!
I am currently a PhD student in the maths department at the University of Bath, having started in September 2020.

Teaching

More information on my teaching can be found in the tutorials section of my website.

Publications

• Ed Gallagher & Roger Moser (2023), The infinity-elastica problem on a Riemannian manifold [link]. The Journal of Geometric Analysis.

Preprints

• Ed Gallagher & Roger Moser (2022), Weighted infinity-Willmore spheres. [arXiv]

Selected Talks

• Weighted infinity-Willmore spheres; Analysis Seminar, University of Bath; 16/02/23

• The infinity-elastica problem on a Riemannian manifold; EDDy Seminar, RWTH Aachen (Germany); 02/02/23

• The infinity-elastica problem on a Riemannian manifold; Recent advances in the calculus of variations in L-infinity, University of Reading; 13/07/22

Juvenilia

• Gallagher, R. E.; Aslett, L. J. M.; Steinsaltz, D. & Christ, R. R. (2019), Improved Concentration Bounds for Gaussian Quadratic Forms. [arXiv].
  This work came from a summer research project I did in 2018.