About me

I am a fourth year PhD student in the MIGSAA CDT, based at the University of Edinburgh and working under the supervision of Jonas Azzam.

My main area of interest is geometric measure theory. More specifically, I'm interested in quantitative aspects of rectifiability, both in Euclidean and non-Euclidean settings.

I hold a Masters of Mathematics (MMATH) from Durham University.

Papers

• A $d$-dimensional Analyst's Travelling Salesman Theorem for subsets of Hilbert space (arXiv).
• Cone and paraboloid points of arbitrary subsets of Euclidean space, with Michele Villa (arXiv).
• A $d$-dimensional Analyst's Travelling Salesman Theorem for general sets in $\mathbb{R}^n$ (arXiv).
• The Weak Lower Density Condition and Uniform Rectifiability, with Jonas Azzam (arXiv).

Conferences and Workshops

• Harmonic Analysis in non-homogeneous settings and applications Workshop, June 10-13, Birmginham, UK.
• MIGSAA Mini-course: Rademacher's theorem in metric measure spaces and Alberti representations, by David Bate (Warwick), October 22-24, 2018.
• MIGSAA 4th Annual Colloqium, September 21, 2018, Edinburgh, UK.
• Calculus of variations and geometric measure theory at Sussex, July 2-4, 2018, University of Sussex, UK.
• MIGSAA 3rd Annual Colloqium, September 22, 2017, Edinburgh, UK.

Teaching

• Spring 2020:
• (UoE) Workshops for Calculus and its Applications (CAP, MATH08058)
• Autum 2019:
• (UoE) Workshops for Introduction to Linear Algebra (ILA, MATH08057)
• (UoE) Workshops for Accelerated Proofs and Problem Solving (APPS, MATH08071)
• Spring 2019:
• (UoE) Workshops for Proofs and Problem Solving (PPS, MATH08059)
• Autumn 2018:
• (UoE) Workshops for Honours Analysis (HAna, MATH10068)
• (UoE) Workshops for Accelerated Proofs and Problem Solving (APPS, MATH08071)