James McCoy
Details
-
Department: School of Science
-
Campus: City Campus Australia
-
james.mccoy@rmit.edu.au
-
ORCID:
0000-0001-6053-5144
Open to
- Career advice
- Masters Research or PhD student supervision
- Mentoring (short-term)
- Mentoring (long-term)
- Membership of an advisory committee
About
I am a geometric analyst specifically interested in theory and applications of geometrically-inspired elliptic and parabolic partial differential equations. I am interested in linear and nonlinear equations, of second order and higher even order. I have also worked in related settings including systems of linear ordinary differential equations. I supervise PhD students in areas including nonlinear flow of Riemannian metrics, numerical analysis of curvature flow, second and higher even order flow of curves and of hypersurfaces and semi-discrete linear curvature flow.
Research fields
- 490410 Partial differential equations
- 490402 Algebraic and differential geometry
- 490409 Ordinary differential equations, difference equations and dynamical systems
- 490103 Calculus of variations, mathematical aspects of systems theory and control theory
Academic positions
- Professor
- University of Newcastle Australia
- School of Information and Physical Sciences
- Newcastle, Australia
- Jan 2022 – Dec 2025
- Associate Professor
- University of Newcastle Australia
- School of Mathematical and Physical Sciences
- Newcastle, Australia
- Jan 2018 – Dec 2021
- Associate Professor
- University of Wollongong
- School of Mathematics and Applied Statistics
- Wollongong, Australia
- Jan 2013 – Dec 2017
- Senior Lecturer
- University of Wollongong
- School of Mathematics and Applied Statistics
- Wollongong, Australia
- Jan 2010 – Dec 2012
- Lecturer
- University of Wollongong
- School of Mathematics and Applied Statistics
- Wollongong, Australia
- Jul 2005 – Dec 2009
- Postdoctoral fellow
- Australian National University
- Mathematical Sciences Institute
- Canberra, Australia
- Apr 2002 – Jul 2025
Non-academic positions
- Board Member
- Australian Mathematical Sciences Institute
- Parkville, Australia
- Jul 2025 – Feb 2027
- Deputy Director
- Australian Mathematical Sciences Institute
- Parkville, Australia
- Jan 2023 – Jan 2025
- Joint Venture Partner representative
- Australian Mathematical Sciences Institute
- Parkville, Australia
- Jul 2018 – Jan 2023
Teaching interests
I have over 25 years experience teaching all undergraduate levels, honours and coursework Masters, including but not limited to large first year classes for engineering students and future teachers of primary mathematics. Second year courses on linear algebra, real analysis and ordinary differential equations. Third year courses on partial differential equations, numerical analysis, calculus of variations and geometry (the last also at honours and Masters level).
Research interests
Second and higher even order elliptic and parabolic partial differential equations, especially those arising geometrically and/or from physical modelling problems. Nonlinear (and linear) partial differential equations specifically curvature flow of curves, surfaces and hypersurfaces in Euclidean space and other ambient spaces. Calculus of Variations and isoperimetric-type problems. Mathematical modelling of physical and biological systems including bushfire modelling, biomembranes and protein structure.
