Finding Alternative Approaches to Basic Geometry
It is surprising how often two problems, with no apparent connection, turn out to be fundamentally the same from a computational point of view. It is this phenomenon that makes mathematical modelling so powerful. Equally, it is this phenomenon that makes mathematics seem so esoteric, as mathematicians reformulate real-world problems under complex circumstances to solve them.
Dr. Jim Geelen is the Canada Research Chair in Combinatorial Optimization. His research is motivated by fundamental real-world problems such as scheduling, routing traffic through a network, or designing a network.
Here the network might be, among others, a road network, an electrical network, or a network of computers. Many of these problems, as well as those arising from coding theory and quantum computing, can be reformulated in terms of points in a “finite projective geometry.”
As Chair, Geelen hopes to address these real-world problems by finding efficient solutions to problems in combinatorial geometry.