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Academic programs


The Department of Mathematics and Statistics provides excellent undergraduate programs, as well as advanced instruction at the graduate and research levels. Find out more about our degree programs.

Colloquia & Seminars


Learn about our latest research and overviews of the areas of Mathematics and Statistics through our colloquia & seminars.

Upcoming Events

  • @CAT Seminar
    February 28, 2017 2:30 PM

    Presented by : Rory Lucyshyn-Wright (Mount Allison)

    Topic : Introduction to commutants for algebraic theories

    Abstract: In 1963, Lawvere introduced an elegant approach to universal algebra in terms of the notion of algebraic theory, or Lawvere theory. In a 1968 article, Lawvere emphasized that algebraic theories generalize rings, so that certain notions in the theory of rings and modules admit generalizations to universal algebra. In this spirit, Wraith's 1969 lecture notes define a notion of commutant of a set of morphisms in an infinitary algebraic theory. Given instead a morphism of Lawvere theories A : T --> U, one can form an associated Lawvere theory, called the centralizer or commutant of T with respect to A. As a special case, one can take the commutant of a Lawvere theory T with respect to any given T-algebra A. In this talk we will discuss several examples of commutants of Lawvere theories, including theories of modules, affine spaces, convex spaces, and semilattices. Time permitting, we will also comment on generalizations to the realm of enriched algebraic theories and monads.