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Volume 4 • Number 1

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Chern-Cheeger-Simons Theory
In the early twentieth century, in different branches of mathematics, the notion of local product structure, i.e., fiber spaces and their generalisations appeared. Characteristics classes are the simplest global invariants which measure the deviation of a local product structure from a product structure.

Seifert Fibering
A bundle E consists of a base space B and a fiber F. Over each point of the base space, there is a fiber attached. In general E is not just the product BXF but it is "twisted".

On Some Non-Hermitian Ensembles of Random Gaussian Matrices
In the broadest sense, a random matrix is merely a matrix with random numbers in it. In practice these matrices often have some symmetry or unitarity conditions...

Rota's Conjecture
In 1970, Gian-Carlo Rota posed a beautiful conjecture that provides a combinatorial characterisation of linear dependence in vector spaces over any given finite field. Recently Jim Geelen, Bert Gerards and Geoff Whittle completed a 15-year project that culminated in a proof of Rota's conjecture.

Achievements of Kazuya Kato
The achievements of Kazuya Kato range over several branches of mathematics. It has inspired and will continue to inspire the whole mathematical community over many years.

Terence Tao Talks to Robert McLachlan
Terence Tao has just toured New Zealand as the inaugural Maclaurin Lecturer on behalf of the American Mathematical Society. He was interviewed by Robert McLachlan in Palmerston North, August 28, 2013.

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