The Mathematical and Computational Sciences at Western are represented by four separate departments: Applied Mathematics, Computer Science, Mathematics, and Statistical & Actuarial Sciences. The Department of Mathematics has established research groups in several areas of contemporary mathematics including algebra, analysis and analytic geometry, homotopy theory, and noncommutative geometry.

News

The Department has Limited Duties teaching positions available for Summer, 2016. To apply, go to the page http://www.uwo.ca/hr/working/staff/index.html. The closing date for applications is Feb. 24, 2016.

Upcoming Events

Each week the Department of Mathematics hosts a wide variety of seminars and events. For a comprehensive list of events, please consult our departmental calendar.

Parabolic bundles on a punctured Riemann surface were introduced by Mehta and Seshadri in the â€˜80s, in relation to unitary representations of its topological fundamental group. Their definition was generalized, in several steps, to a definition over an arbitrary logarithmic scheme due to Borne and Vistoli, who also proved a correspondence with sheaves on stacks of roots. I will review these constructions, and push them further to the case of an â€œinfiniteâ€ version of the root stacks. Towards the end I will discuss a comparison result (for log schemes over the complex numbers) between this â€œinfinite root stackâ€ and the so-called Kato-Nakayama space, and hint at some work in progress about relating sheaves on this latter space to parabolic sheaves with arbitrary real weights.

This talk will be a basic interactive introduction to Coq. I will start with simple operations on natural numbers, then move on to functions on arbitrary types, and illustrate how to prove a logical statement in computer.

We present the following theorem: A totally real smooth surface in $\mathbb{C}^2$ with an open Whitney umbrella at the origin, is locally polynomially convex near the singular point. This is a natural generalization of a result of Shafikov and Sukhov that addresses the same problem, but in the generic case. Our theorem establishes polynomial convexity in full generality in this context. This is joint work with Rasul Shafikov.

Quaternion algebras contain quadratic field extensions of the center.
Given two algebras, a natural question to ask is whether they share a common field extension. This gives us an idea of how closely related those algebras are to one another.
If the center is of characteristic 2 then those extensions divide into two types - the separable type and the inseparable type.
It is known that if two quaternion algebras share an inseparable field extension then they also share a separable field extension and that the converse is not true.
We shall discuss this fact and its generalization to $p$-algebras of arbitrary prime degree.