If you are interested in the study of geometry, the Faculty of Mathematics offers an unequalled experience for exploring this topic. Department of Pure Mathematics researchers investigating problems at the forefront of discovery in geometry and topology work alongside those in Department of Combinatorics and Optimization.
Within the Department of Pure Mathematics, Doug Park explores the topics of low-dimensional topology, smooth-4-manifolds and gauge theory.
- Spiro Karigiannis does research on differential geometry and geometric analysis, specifically in the areas of special holonomy manifolds and their calibrations. This includes the study of their moduli spaces, construction of new compact examples, conical singularities, and related geometric evolution equations.
- David McKinnon focuses on algebraic geometry, including exploring the distribution of rational points on algebraic surfaces.
- Benoit Charbonneau works in the areas of differential geometry, algebraic geometry and gauge theory and has studied certain moduli spaces of vector bundles.
- Ruxandra Moraru conducts research in complex geometry and applications to physics.
- Rahim Moosa has expertise in model theory (a branch of mathematical logic) with interests in its application to geometry.
Within the Department of Combinatorics and Optimization, Kevin Purbhoo has interests in enumerative algebraic geometry and in the introduction of combinatorial techniques for the solutions of problems in this area.
Eric Katz conducts research in tropical geometry, algebraic geometry, moduli spaces and toric varieties, explored using combinatorial approximations.
The blend of talents in geometry across different Mathematics faculty departments comes together in the Geometry and Topology Research Group with opportunities for active collaboration among researchers.