معرفی
Valentina Wheeler is a Senior Research Fellow (DECRA Research Fellow) at the University of Wollongong's School of Mathematics and Applied Statistics. Her research focuses on geometric analysis, specializing in elliptic and parabolic partial differential equations with applications to bushfire modeling and biological membranes. She combines techniques from differential geometry, calculus of variations, and dynamical systems to develop novel mathematical frameworks for physical phenomena.
Her work primarily explores:
- Curvature flows and geometric evolution equations
- Nonlinear PDEs in environmental science
- Conformal structures and geometric variational problems
- Mathematical modeling of biological and physical systems
Dr. Wheeler maintains an active research program supported by major grants including:
- ARC Discovery Project: Non-local PDE approach to moving fronts and bushfires (2025-2027)
- DECRA Fellowship: Curvature flow of clusters (2019-2025)
- ARC Discovery Project: Parabolic methods for elliptic boundary value problems (2018-2024)
She currently supervises PhD candidates in topics spanning nonlinear PDEs, free boundary problems, conformal structures, and curvature flows. Her completed students have researched Monge-Ampere equations, wound healing modeling, and ambient field interactions with geometric flows.
