The discontinuous Galerkin method provides a flexible and unconditionally stable time discretization for fractional diffusion and wave equations.  I will outline the results of joint work with Kassem Mustapha on the convergence properties of...

Von Neumann asked whether every non-amenable group contains a free subgroup.  The answer is no.  I will give an account of a simple proof of this due to Nicholas Monod.

In general nonparametric tests have been based on test statistics chosen to have good properties in related parametric problems. Bootstrap or asymptotic approximations for the distribution of the test statistics, or robust versions of them, are...

The theory of linear codes over finite fields has long been strengthened by combinatorial theory, and matroid theory has shown to be particularly well suited for providing a theoretical foundation for these codes. Complete descriptions have been...

The canonical commutation relations (CCR's) are at the foundation of quantum mechanics and quantum field theory. To properly analyse the CCR's, which involve unbounded operators, we encode them in a C$^*$-algebra. This C*-algebra however, is not...

In the counting constraint satisfaction problem (#CSP), we wish to know how  many ways there are to satisfy a given system of constraints on a set of variables, where a constraint is  a relation chosen from a fixed finite set. This...