معرفی
Robert Marangell is an Associate Professor in Applied Mathematics at the University of Sydney's School of Mathematics and Statistics. He has held academic positions since 2008, including Senior Lecturer (2017–2021), Lecturer (2013–2017), and postdoctoral roles at institutions like the University of Warwick and the University of North Carolina at Chapel Hill. His research focuses on dynamical systems and partial differential equations (PDEs), particularly applying topological methods to analyze temporal dynamics of solutions to PDEs. He also explores mathematical biology, nonlinear dynamics, and Hamiltonian systems.
Marangell’s educational background includes a PhD in Mathematics from the University of North Carolina at Chapel Hill (2008) and a BA in Mathematics from Cornell University (2003). His recent work emphasizes stability analysis of traveling waves, shock dynamics in reaction-diffusion systems, and spectral theory for Hamiltonian PDEs. He has contributed to understanding shock selection rules, viscous relaxation effects, and the Maslov index in diverse models, including biological invasion and fluid dynamics.
- Grants:
- 2024: 'We got the beat: a fast-slow splitting of the Maslov index' (Re-entry Fellowship).
- 2021: 'Spectral Theory of Hamiltonian Dynamical Systems' (ARC Discovery Project).
His research group is part of the Applied Mathematics Group at Sydney. Although no specific students are listed, his work involves collaborative projects with colleagues such as Holger Dullin and Martin Wechselberger. He maintains an active research program with a focus on interdisciplinary applications of PDEs and dynamical systems.
