Peter Forrester received his Doctorate from the Australian National University in 1985, and held a postdoctoral position at Stony Brook before joining La Trobe University as a lecturer in 1987. In 1994 he was awarded a senior research fellowship by the ARC, which he took up at The University of Melbourne. Peter’s research interests are broadly in the area of mathematical physics, and more particularly in random matrix theory and related topics in statistical mechanics. This research and its applications motivated the writing of a large monograph Log-gases and Random Matrices (PUP, Princeton)which took place over a fifteen-year period. His research has been recognised by the award of the Medalof the Australian Mathematical Society in 1993, and election tothe Australian Academy of Science in 2004, in addition to several ARC personal fellowships. He was AustMS President from 2012 to 2014.
In 1859, the German mathematician Bernhard Riemann wrote a paper generating consequences that are still echoing almost 160 years later. ACEMS researchers are now adding to the legend by employing the Riemann zeta function in their quest to develop tools to analyse big data sets using analogies with physical systems.
Lattices are the span of linearly independent vectors over the integers. Lattice reduction seeks to find a basis of shortest vectors in the lattice. This objective has applications in cryptography, coding theory, the global positioning system, and statistical signal processing, among other examples.
Forrester, P., & Liu D.
(2016). Singular values for products of complex Ginibre matrices with a source: Hard edge limit and phase transition. Communications in Mathematical Physics. 344(1), 333-368. doi: 10.1007/s00220-015-2507-5
Forrester, P., & Mays A.
(2015). Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science. 471(2182), 20150436. doi: 10.1098/rspa.2015.0436
(2015). Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble. Journal of Physics A: Mathematical and Theoretical. 48(32), 324001. doi: 10.1088/1751-8113/48/32/324001