# 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...