Mathematics and statistics are
omnipresent in today's world of information and technology. Their
theories, models, and methods are integral to the way we
analyze, understand, and build the world around us. They play a key role in
nearly every effort to push the boundaries of science, engineering, medicine, and social sciences, and contributein a major wayto solving some of the
most pressing human, environmental, and economic problems of our
time.
The Department of Mathematics and
Statistics is one of the oldest and most distinguished of its kind
in Canada. It is home to active, internationally
acclaimed, and award-winning researchers in the three principal subdisciplines in the mathematical sciences.
Pure
mathematics is concerned
with abstract structures and concepts mainly with respect to their
intrinsic and technical nature, although many areas in pure mathematics have
developed from questions in science and technology. Core areas of
expertise in pure mathematics include algebra, analysis, geometry, number theory, and
topology.
Applied
mathematics develops and utilizes
advanced mathematical methods to solve problems in a broad range of applications in science, technology, engineering, computer science, and business.
Core areas of expertise in applied mathematics include discrete mathematics, game
theory, machine learning, graph theory, mathematical physics, numerical analysis,
optimization, and probability.
Statistics is motivated by the need to extract information from data, to quantify uncertainty, and to make predictions about random phenomena. To do this effectively, sophisticated mathematical and probabilistic techniques and computational tools are needed. Core areas of expertise include Bayesian
inference, biostatistics, computational statistics,
extreme-value analysis, high-dimensional data modelling, multivariate analysis, and survival
analysis.