John Hughes
MMath
Status
Postgraduate Student
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Towards a Taub-Bolt to Taub-NUT via Ricci flow with surgery (2025),
Preprint: https://arxiv.org/abs/2509.23257
An ancient Ricci flow emerging from Taub-Bolt (2025),
Preprint: https://arxiv.org/abs/2509.23276
L^2-instability of the Taub-Bolt metric under the Ricci flow (2024),
Preprint: https://arxiv.org/abs/2408.15269
Teaching
Differential Manifolds C3.3
Geometry of surfaces B3.2
Riemannian geometry C3.11
Further details
I am a final-year DPhil student of Prof. Jason D. Lotay.
Research interests
My main research interest is Ricci flow, but I am also interested more broadly in differential geometry, Riemannian geometry, geometric analysis and partial differential equations.