Regular biography
Jiakun Liu is an Associate Professor in the School of Mathematics and Statistics at The University of Sydney. His research areas include Analysis and partial differential equations, Differential geometry, and Global analysis, analysis on manifolds. Liu's teaching timetable for 2026 Semester 1 includes MATH5320 Assessment, Lecture, and Tutorial sessions. His personal web page provides additional information about his research and teaching activities. The University of Sydney's Maths & Stats website lists his profile and contact details.
Scholar-generated biography
Jiakun Liu is a researcher at the University of Sydney specializing in Mathematics, with a focus on Partial Differential Equations and Optimal Transportation. His work explores deep connections between geometric analysis and optimization, particularly through the study of curvature problems and regularity theory. Liu's research includes the uniqueness of Lp-Minkowski problems, the Lp-Brunn-Minkowski inequality, and the Hölder regularity of optimal mappings. He has also contributed to the understanding of Monge-Ampère equations and their applications in optimal transportation. His publications highlight the interplay between geometric inequalities and nonlinear PDEs, advancing the theoretical foundations of these areas.