# Seminar Archive - 2017

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

*Dirk P. Kroese - The University of Queensland*

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...

*M. Ganesh - Colorado School of Mines, USA*

We consider electromagnetic wave propagation in three dimensional (3D) unbounded dielectric media governed by the Maxwell partial differential equations (PDE), radiation and interface conditions. The...

*Nicholas Cavenagh - University of Waikato*

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...

*William Dewar - Florida State University*

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-...

*José Vicente Pérez - University of Alicante, Spain*

The classical Motzkin theorem states that every (closed and convex) polyhedron is the Minkowski sum of a convex hull of finitely many points and a finitely generated cone. In this sense, similar...

*Dr Jonathan Kress - School of Mathematics and Statistics, UNSW SYDNEY*

Over that past two years, changes have been made to the assessment structure in MATH1031 Mathematics for Life Sciences. These changes reflected a desire to improve students' mathematical...

*Min Zhong - Southeast University, Nanjing, PR China*

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...

*Tim Trudgian - UNSW Canberra*

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...

*Wadim Zudilin - Radboud University Nijmegen (Netherlands) and the University of Newcastle (NSW, Australia)*

In 2003, Fernando Rodriguez-Villegas conjectured fourteen congruences modulo $p^3$ that relate hypergeometric sums truncated at $p-1$ to the Fourier coefficients $a(p)$ of weight 4 modular forms....

*Tim Trudgian - UNSW Canberra*

Very little is known about the distribution of primitive roots of a prime $p$. Grosswald conjectured that the least primitive root of a prime p is less than $\sqrt{p} - 2$ for all $p> 409$. While...