Simon Fraser University

A famous congruence equation question is the solvability of x y = c (mod q) with x, y in intervals of length q^{1/2 + epsilon}. In this talk, we will discuss its history and recent developments. We will show that it is solvable for almost all pairs...

In [Mazur, Visualizing elements of order three in the Shafarevich-Tate group, Asian J. Math. 3 (1999), no. 1, 221-232], Mazur proves that any element in Sha[3](E/K) can be made visible in an abelian surface. Mazur did not comment on whether this...

A class of novel deferred correction methods, integral deferred correction (IDC) methods [2], is studied. This class of methods is an extension of ideas introduced by Dutt, Greengard and Rokhlin [1] on spectral deferred correction (SDC) methods for...

Superlattice patterns and quasipatterns, while well-studied in waves on the surface of vertically vibrated viscous fluids (Faraday waves), have found little attention in forced oscillatory systems. We study such patterns, comprised of 4 or more...

Recent work has shown that one physical interpretation of the coordinate transformation invariance of Maxwell's equations can be expressed as an electromagnetic material with transformed permittivity and permeability values defined in the original...

A new family of mixed finite element methods for the Stokes and incompressible Navier-Stokes equations is presented. It is inf-sup stable and consistent, such that arbistrarily high order approximations can be achieved by increasing the polynomial...

In microscopic systems formed by living cells, the small numbers of some reactant molecules can result in dynamical behavior that is discrete and stochastic rather than continuous and deterministic. An analysis tool that respects these dynamical...

I will give a transverse introduction to how Boundary Integral techniques (or their numerical version, the Boundary Element Method) have been and are being used for scattering problems. While in the beginning the field of boundary integral equations...

The stability of our Solar System has been debated since Newton devised the laws of gravitation to explain planetary motion. Newton himself doubted the long-term stability of the Solar System, and the question has remained unanswered despite...

The workshop takes place at two sites: The Fields Institute in Toronto and The IRMACS Centre in Vancouver. While participants are welcome at either site, we anticipate that most participants will choose the closer or easier site. We will share (by...