This is a joint project with Liqun Fang Ben Linowitz Andrew Rupinski Helena Verrill We give new examples of modular forms on noncongruence subgroups whose l-adic representations are modular and whoseâ€¦ (More)

This paper gives a complete parametrization of the commensurability classes of totally geodesic subspaces of irreducible arithmetic quotients of Xa,b = (H ) Ã— (H). A special case describes allâ€¦ (More)

In this paper we construct, for n â‰¥ 2, arbitrarily large families of infinite towers of compact, orientable Riemannian n-manifolds which are isospectral but not isometric at each stage. In dimensionsâ€¦ (More)

This paper considers space-time coding over several independently Rayleigh faded blocks. In particular, we will concentrate on giving upper bounds for the coding gain of lattice space-time codes asâ€¦ (More)

We examine the relationship between the length spectrum and the geometric genus spectrum of an arithmetic hyperbolic 3-orbifold M . In particular we analyze the extent to which the geometry of M isâ€¦ (More)

Our main result is that for any positive real number x0, the set of commensurability classes of arithmetic hyperbolic 2â€“ or 3â€“manifolds with fixed invariant trace field k and systole bounded below byâ€¦ (More)