Prof. Eckhard Meinrenken
Fellow
Current Employer
University of Toronto
Election Year
2008
Academy
Academy of Science
Discipline
Mathematics and Computer Sciences
Department
Mathematics Department
Keywords
Differential Geometry, Poisson Geometry, Mathematical Physics
Long Citation (for publication and press release)
Eckhard Meinrenken has made several fundamental contributions to differential geometry and mathematical physics. His proof of the Guillemin-Steinberg 'quantization commutes with reduction' conjecture was a landmark achievement in symplectic geometry, with many important applications. Other major results include his proof of the Witten formulas in two-dimensional gauge theory, his work on the Verlinde formula, and his proof (with Anton Alekseev) of the longstanding Kashiwara-Vergne conjecture in the theory of Lie algebras. Meinrenken's work is closely connected with many of the recent developments in theoretical physics, such as conformal field theory and the theory of D-branes in string theory.
Short Citation (to be read at the Induction Ceremony)
Eckhard Meinrenken has made several fundamental contributions to differential geometry and mathematical physics. His proof of the Guillemin-Steinberg 'quantization commutes with reduction' conjecture was a landmark achievement in symplectic geometry. Meinrenken’s work is closely connected with many of the recent developments in theoretical physics, such as conformal field theory and the theory of D-branes in string theory.
Eckhard Meinrenken has made several fundamental contributions to differential geometry and mathematical physics. His proof of the Guillemin-Steinberg 'quantization commutes with reduction' conjecture was a landmark achievement in symplectic geometry, with many important applications. Other major results include his proof of the Witten formulas in two-dimensional gauge theory, his work on the Verlinde formula, and his proof (with Anton Alekseev) of the longstanding Kashiwara-Vergne conjecture in the theory of Lie algebras. Meinrenken's work is closely connected with many of the recent developments in theoretical physics, such as conformal field theory and the theory of D-branes in string theory.
Short Citation (to be read at the Induction Ceremony)
Eckhard Meinrenken has made several fundamental contributions to differential geometry and mathematical physics. His proof of the Guillemin-Steinberg 'quantization commutes with reduction' conjecture was a landmark achievement in symplectic geometry. Meinrenken’s work is closely connected with many of the recent developments in theoretical physics, such as conformal field theory and the theory of D-branes in string theory.