Sebastian Woodward

MMath

Pronouns

He / Him

Status

Postgraduate Student

Contact form

ORCID iD

https://orcid.org/0009-0005-9832-5886

Research groups

Oxford Centre for Nonlinear PDE

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Melanie Rupflin, Sebastian Woodward: A sharp quantitative stability result near infinitely concentrated minimisers https://arxiv.org/abs/2603.25361

Melanie Rupflin, Alex Waldron and Sebastian Woodward: Topping's conjecture for solutions of the harmonic map flow with isolated bubbles

https://arxiv.org/abs/2610.13746

Sebastian Woodward: Lojasiewicz Estimates for a Regularised Baby-Skyrme Model

https://arxiv.org/abs/2610.37499

Sebastian Woodward: Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model

https://arxiv.org/abs/2610.37457

Research interests

My research lies in the field of non-linear PDEs and Geometric Analysis, under the supervision of Professor Rupflin. My current research is on quantitative stability estimates for the Dirchlet energy and associated energy functionals. Moreover, I am interested in how stability estimates for energy functionals in singular settings can be used to derive properties for related Skyrmion models and associated gradient flows.

Teaching

TA for geometry of surfaces

TA for functional analysis II

Tutor for functional analytic methods for PDEs

Tutor for Distribution theory

Tutor for Williams College