Isaac Wind Newell
MMathCompSci (Oxon)
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
- N. Boullé, I. Newell, P. E. Farrell, and P. G. Kevrekidis, Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns, submitted, 2022.
Prizes, awards, and scholarships
- Clarendon Scholarship (2022-2026)
- Mathematical Institute Studentship (2022-2026)
- Hoare Prize in Mathematics and Computer Science (2022)
- Penultimate Year Prize, Oriel College (2021)
- LMS Undergraduate Research Bursary (2021)
Teaching
- B4.3 Distribution Theory (Michaelmas 2022), TA
- B4.4 Fourier Analysis (Hilary 2023), TA
- B4.2 Functional Analysis (Trinity 2023), revision class tutor
Research interests
My research focuses on nonlinear partial differential equations arising in differential geometry, in particular the problem of isometric embeddings of Riemannian manifolds in Euclidean space. The PDE system at hand is the Gauss-Codazzi system, whose type, in the case of surfaces, depends on the sign of the Gauss curvature. I am especially interested in the connections between isometric embedding and hyperbolic conservation laws, compensated compactness methods, and geometric rigidity problems. I am jointly supervised by Prof Gui-Qiang Chen and Prof Luc Nguyen.