Joel Kamnitzer has explored geometric objects related to Lie groups, inspired by ideas from theoretical physics. Using these geometric objects, Kamnitzer uncovered deeper structures in the representation theory of Lie groups: especially canonical bases and categorification. His knot homology construction inspired mathematicians and physicists, leading to great advances in understanding the link between these fields.
The title is granted to individuals who have “made remarkable contributions in the arts, the humanities and the sciences, as well as in Canadian public life”.
2022 Royal Society of Canada's List of New Member and Fellows.