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Profile

Dr. Pengfei Guan

Affiliation

McGill University

Academy or College

Academy of Science

Year Elected

2008

Areas of Interest

Geometric Analysis, Nonlinear differential equations.

Long Citation (for publication and press release)
Pengfei Guan, McGill University, is widely recognized as the leading researcher of his generation in the study of fully non-linear elliptic partial differential equations, a deep and central area of mathematics which has very important applications in geometry and in mathematical physics. His achievements include the solution of several long-standing open problems in geometric analysis, such as the oblique derivative problem for elliptic operators, which was first stated by Poincare in 1912, the higher dimensional Christoffel-Minkowski problem, which goes back to Weyl in 1916 and was solved by Nirenberg in 1953 in the two dimensional case, and the regularity problem for degenerate Monge-Ampere equations. Pengfei Guan has held the Canada Research Chair in geometric analysis at McGill University since 2005.

Short Citation (to be read at the Induction Ceremony)
Pengfei Guan is widely recognized as the leading researcher of his generation in the study of fully non-linear elliptic partial differential equations, a deep and central area of mathematics which has very important applications in geometry and in mathematical physics. His achievements include the solution of several long-standing open problems in geometric analysis and the regularity problem for degenerate Monge-Ampere equations.