معرفی
Prof Xu-Jia Wang is a Professor at the Mathematical Sciences Institute of The Australian National University. His research focuses on differential geometry, partial differential equations, and convex geometry, with notable contributions to Monge-Ampère equations, Minkowski problems, and geometric flows. He has led projects on fully nonlinear elliptic equations and optimal transportation, supported by grants from ANU and external funding bodies.
Key research interests include: Monge-Ampère equations and their regularity theory, prescribed curvature problems (e.g., Minkowski and Christoffel problems), geometric flows, and applications to affine differential geometry. His work bridges pure mathematics and applied fields like geometric optics and optimization.
Recent publications emphasize free boundary regularity, convex hypersurface existence, and Lp dual Minkowski problems. He collaborates internationally on geometric analysis and nonlinear PDEs, contributing to foundational theoretical results. Current projects explore singularities in elliptic equations and affine geometric analysis.
Prof Wang’s research has been recognized through sustained leadership in geometric analysis, with over 79 publications and an h-index of 39. His work impacts diverse areas from convex geometry to computational fluid dynamics, showcasing the interdisciplinary reach of his mathematical investigations.
