James Grant

Dr. James Grant is a Senior Lecturer at the University of Surrey, affiliated with the School of Mathematics and Physics and the Mathematics at the Interface Group. His work bridges mathematical physics, geometry, and partial differential equations, focusing on low-regularity structures and integrable systems.

• 1989: B.Sc. in Mathematical Physics, University of Edinburgh
• 1990: Certificate of Advanced Study in Mathematics, University of Cambridge
• 1993: Ph.D. in Mathematics, University of Cambridge

Research spans Lorentzian and Riemannian geometry, with breakthroughs in causality theory, positive mass theorems, and self-dual Yang-Mills equations. His publications with co-authors like Michael Kunzinger and Roland Steinbauer address foundational issues in low-regularity spacetime and synthetic geometric approaches. Recent work (2013–2019) on null injectivity estimates and spacetime inextendibility has advanced the understanding of geometric analysis under minimal regularity assumptions.

Teaching roles include Real Analysis 2 (MAT2004), Manifolds and Topology (MAT3009), and coordination of literature reviews and projects for B.Sc. and MMath students.