Second year mathematics PhD student in geometric analysis at the University of Leeds under the supervision of Dr Ben Sharp. Before this I completed my BA and MMath at Gonville and Caius College, Cambridge.
I am currently interested in approximate harmonic maps, in particular ε-harmonic maps. These are constructed much like the Sacks-Uhlenbeck α-harmonic maps, by considering critical points of some approximation to the Dirichlet energy. Then one can study how these approximate harmonic maps converge back to harmonic maps.
a.m.roberts@leeds.ac.uk or aroberts146@gmail.com
[3] The generalised energy identity and length of necks for ε-harmonic maps. arxiv:2602.10914, 2026
[2] Low energy ε-harmonic maps into the round sphere. arxiv:2602.10913, 2026
[1] Energy identity and no neck property for ε-harmonic and α-harmonic maps into homogeneous target manifolds. Joint with Carolin Bayer. Calc. Var. Partial Differential Equations, Volume 65, Article 57, 2026
[6] Warwick Junior Analysis and Probability Seminar 21/02/2026
[5] ICMS Winter School: PDE in Geometry and Analysis 06/01/2026
[4] Leeds Pure PGR Seminar 20/10/2025
[3] BIGW VI: Minimal surfaces 01/09/2025
[2] Leeds Maths PGR Conference 30/06/2025
[1] Leeds Pure PGR Seminar 24/02/2025
2025-2026 Semester 2: Tutorials and Marking - MATH1110, Real Analysis
2025-2026 Semester 1: Tutorials and Marking - MATH1110, Real Analysis
2024-2025 Semester 2: Tutorials and Marking - MATH1000, Core Mathematics
Leeds Maths PGR Conference. 30/06/2025-02/07/2025. With Sonny Burrell, Nora Gavrea and Ibraheem Sajid.
Last updated 13/02/2026