The fellowship of the RSC comprises distinguished men and women from all branches of learning who have made remarkable contributions in the arts, the humanities and the sciences, as well as in Canadian public life.

Fellowship of the Royal Society of Canada

Up to six Steacie Fellowships are awarded annually to enhance the career development of outstanding and highly promising scientists and engineers who are faculty members of Canadian universities.

NSERC Steacie Fellowship

One $125,000 award annually to support an emerging research leader conducting basic research in physics, chemistry, computer science, mathematics, engineering sciences, and the theory and methods of statistics. Eligibility for the McLean Award is restricted to full-time members of the University’s faculty who conduct research in the fields designated above and who are, as of the date of application, within twelve years or less of having received the Ph.D.

McLean Award

Vielfachheitsformeln fur die Quantisierung von Phasenraeumen.

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci’s proof of the Poincaré–Birkhoff–Witt theorem.This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. The applications to Lie theory include Duflo’s theorem for the case of quadratic Lie algebras, multiplets of representations, and Dirac induction. The last part of the book is an account of Kostant’s structure theory of the Clifford algebra over a semisimple Lie algebra. It describes his “Clifford algebra analogue” of the Hopf–Koszul–Samelson theorem, and explains his fascinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principal sl(2) subalgebra.Aside from these beautiful applications, the book will serve as a convenient and up-to-date reference for background material from Clifford theory, relevant for students and researchers in mathematics and physics.

Clifford Algebras and Lie Theory (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a)

The Department of Mathematics of the University of Toronto is located in its main campus, St. George, at the Bahen Centre for Information Technology. With 43 faculty members, UofT has provided students with one of the greatest mathematics programs for over 150 years. UofT's Department of Mathematics also ranks among the top 15 departments across North America and is home to Canada's leading research centre for mathematics.

Eckhard Meinrenken

University of Toronto, Department of Mathematics

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Research Interests

Accomplishments

Fellowship of the Royal Society of Canada

NSERC Steacie Fellowship

McLean Award

Education

Albert-Ludwig Universitaet Freiburg

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