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We describe a general method for proving or disproving several prime decomposition theorems for 3-manifolds, classical and global knots, spatial graphs and  3-orbifolds. All proofs are based on a [...]

Leading mathematicians from over 13 countries have descended on the Australian Capital today for the launch of MathsFest 2016. Newly established by the Australian Mathematical Sciences Institute [...]

Call it fate, chance or coincidence; life is littered with random seemingly inexplicable occurrences from lottery wins, to terrorist attacks and chance meetings. Struck by Lightning: Curious [...]

When modelling consumer preference economist often model the demand relation as a solution to an optimisation problem which maximises some utility constrained to a given budget. In reality we are [...]

Have you ever wondered why Greyhounds can outrun Usain Bolt, Beagles can sniff out the faintest scent or Kelpies are such good workers? The Australian Mathematical Sciences Institute’s [...]

8 November 2016, The Australian, John Ross. AMSI Director, Geoff Prince has warned Australia’s mathematical capability is at risk with the Institute’s latest report on the health of [...]

Just as ARMA processes play a central role in the representation of stationary time series with discrete time parameter, Y_n, CARMA processes play an analogous role in the representation of [...]

Let ℘(t, x, y) be the heat kernel on the universal cover M’ of a closed Riemannian manifold of negative curvature. We show the local limit theorem for ℘ : limt→∞ t3/2 eλ0t ℘(t, x, y) = C(x, y), [...]

6 November 2016, The Australian, John Ross. The Australian Government has confirmed it will accept training reform recommendations outlined in the recent ACOLA report, including the expansion [...]