Stephen Lynch

Dr. Stephen Lynch is a Lecturer in Pure Mathematics at King’s College London, affiliated with the Department of Mathematics within the Faculty of Natural, Mathematical & Engineering Sciences. He holds a PhD from the University of Tübingen and previously served as a Chapman Fellow at Imperial College London. His research focuses on geometric analysis, particularly geometric flows (e.g., mean curvature flow, Ricci flow) and nonlinear partial differential equations (PDEs), with contributions to singularity analysis, minimal submanifolds, and phase-transition models. His work bridges geometric evolution equations and PDE theory, addressing questions about singularity formation and structural properties of solutions.

Education:

• PhD in Mathematics, University of Tübingen
• MSc/Advanced Studies at Free University of Berlin
• Bachelor’s degree at University of Queensland

Research interests emphasize using nonlinear elliptic/parabolic PDEs to study geometric structures. Key topics include convexity estimates for curvature flows, ancient solutions, and connections between geometric flows and phase transitions (e.g., Allen-Cahn functional). His work often involves classification theorems for singularities and symmetry properties of solutions.

Recent articles explore convexity preservation in high-codimension flows, rotational symmetry of ancient solutions, and uniqueness of convex ancient flows. He actively collaborates on topics like Harnack inequalities and foliation constructions in geometric analysis.

No scientific awards are explicitly mentioned. His professional activities include organizing seminars and presenting at institutions like MIT, University of Chicago, and international conferences on geometric analysis and PDEs.

Labs/teams: Active member of King’s Analysis and Geometry research groups, contributing to interdisciplinary projects within the department.