# Coming Seminars

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All welcome, especially students. A complete list of past seminars can be accessed via the left-hand menu.

Michael Ehrig
The family of Brauer algebras was originally defined in 1937 by Brauer to solve a problem in classic invariant theory. The talk will give an overview on how this family relates to other areas of representation theory, topology and geometry from a...

Joseph Gunther
On a hyperelliptic curve over $\mathbb{Q}$, there are infinitely many points defined over quadratic fields: just pull back rational points of the projective line through the degree two map.  But for a positive proportion of genus g odd...

Bryce Kerr
This talk concerns some recent results of the author about incomplete Gauss sums modulo primes. We outline the methods used for obtaining new quantitative bounds and discuss how these results fit in the context of Waring's problem.

Hard Hulley
Short sales are represented as negative purchases in textbook asset pricing theory. In reality, however, the symmetry between purchases and short sales is broken by a variety of costs and risks peculiar to short sales. We develop a theoretical model...

Dirk P. Kroese
Many difficult counting and estimation problems can be formulated in terms of estimating the cost of a tree. A simple estimation algorithm by Donald Knuth estimates this cost by running a single random path through the tree. The late Reuven...

Nicholas Cavenagh
If $D$ is a partially filled-in $(0, 1)$-matrix with a unique completion to a $(0, 1)$-matrix $M$ (with prescribed row and column sums), we say that $D$ is a defining set for $M$ . Let $A_{2m}$ be the set of (0, 1)-matrices of dimensions \$2m\times...

William Dewar
Ocean circulation modeling requires parameterizations of sub-grid scale processes, which in turn involves two separate issues. First, the parameterization should mirror the effect of important sub-grid dynamics and second, constants and boundary...

José Vicente Pérez
To be confirmed.

Min Zhong
Using compactly supported radial basis functions (CSRBFs) of varying radii, Sloan, Wendland and LeGia have shown how a multiscale analysis can be applied to the approximation of Sobolev functions on a bounded domain and on the unit sphere. Here, we...

Tim Trudgian
There is a striking connection between the zeroes of the Riemann zeta-function and the distribution of the primes.  In this talk I shall mention some analytic properties of the zeta-function that when known explicitly enable one to estimate, very...