معرفی
Robert J. McCann is a Professor and Canada Research Chair in Mathematics, Economics and Physics at the University of Toronto, where he has been faculty since 2004. He is affiliated with the Faculty of Arts and Science and the Department of Mathematics, working from the Bahen Centre at 40 St George St Room 6290 in Toronto, Canada. McCann is a leading researcher in optimal transportation theory, with significant contributions spanning mathematical physics, economics, and geometry.
McCann received his Ph.D. in Mathematics from Princeton University (1989-1994) and his B.S. in Mathematics from Queen's University, Kingston, Canada (1985-1989). His academic journey began with studies in engineering and physics at Queen's University before focusing on mathematics.
McCann's research interests center around mathematical physics and mathematical economics, with deep expertise in convex analysis, geometry and optimization, and partial differential equations. His work has been instrumental in developing the theory of optimal transportation, balancing pure mathematical contributions with applications to gravity, fluids, image processing, and economic decision-making. He has made significant advances in understanding the regularity of optimal maps, connections between transportation theory and geometric analysis, and applications to economic models including principal-agent problems and monopolist pricing. His recent work has expanded into Lorentzian geometry and mathematical relativity, establishing connections between optimal transportation and general relativity.
McCann's publication record shows a clear trajectory from foundational work in optimal transport to increasingly sophisticated applications in economics and physics. His most recent papers demonstrate a strong focus on principal-agent problems in economics, Lorentzian geometry, and the connections between optimal transportation and general relativity. The interdisciplinary nature of his work is evident in the diverse range of journals where he publishes, spanning pure mathematics, applied mathematics, economics, and physics.
McCann has received significant recognition for his work, including:
- Canada Research Chair in Mathematics, Economics and Physics
- Fellow of the Royal Society of Canada (FRSC)
McCann actively supervises graduate students and postdoctoral researchers, with notable collaborators including Kelvin Shuangjian Zhang, Cale Rankin, Tongseok Lim, and Cameron Davies. His research has been supported by numerous grants, including funding from NSERC. He has organized several major conferences, including the Fields Medal Symposium and thematic semesters at the Fields Institute, demonstrating his leadership in the mathematical community. McCann teaches advanced courses such as "Mathematical Problems in Economics" and "General Relativity," bridging theoretical mathematics with practical applications.
McCann leads research activities within the University of Toronto's mathematics department, particularly in the areas of optimal transport and geometric analysis. His work connects with the Fields Institute for Research in Mathematical Sciences and the Data Sciences Institute (DSI) at the University of Toronto, fostering interdisciplinary collaborations across mathematics, physics, and economics.
