James McCoy

Professor James McCoy is a mathematician specializing in geometric analysis, particularly curvature-driven flows of hypersurfaces. He holds a professorship at the University of Newcastle's School of Mathematical and Physical Sciences and serves as Deputy Director of the Australian Mathematical Sciences Institute (AMSI). His research focuses on geometric evolution equations, including curvature flows, differential geometry, and partial differential equations. McCoy earned his PhD from Monash University in 2002 under Klaus Ecker and has held roles such as Head of Mathematics at Newcastle and ARC Postdoctoral Fellow at the University of Wollongong.

Education: PhD in Mathematics (Monash University, 2002), Bachelor of Science (Honours) in Mathematics (Monash University). Professional roles include Visiting Professorships at Okinawa Institute of Science and Technology and Honorary Fellowships at the University of Wollongong. He has reviewed for over 30 journals and served as Associate Editor of the Journal of the Australian Mathematical Society.

Research Interests: Long-time existence of curvature flows, singularity formation, geometric PDEs, and applications to biomembranes and nanotechnology. His work bridges geometric analysis with applied problems like fire front modeling and carbon nanostructure joining via calculus of variations.

Grants: Over $1.8M in funding, including ARC Discovery Projects on curvature flows and geometric evolution equations. Recent grants include support for lockdown research and course development initiatives.

Advising & Collaboration: Supervised multiple PhD students in geometric flows and nanotechnology modeling. Collaborates internationally on projects such as fire dynamics and red blood cell shape analysis. Member of University committees including Academic Senate and Athena SWAN initiatives.

Labs/Teams: Active in geometric analysis research groups, contributing to AMSI's national mathematical sciences advocacy. Leads projects on curvature flow representation formulas and higher-order geometric equations.