Massey University is offering a full scholarship to undertake PhD studies in Mathematics at the School of Fundamental Sciences
The thesis topic is to investigate the symmetries and properties of higher-dimensional extensions to the six Painlevé equations which are a current frontier of research into integrable systems and particular classes of solutions to these equations motivated by key applications. These are the classes relevant, for example, to the distribution of singular values of products of random matrices, to the density matrix of systems of impenetrable bosons confined in one-dimensional traps, and to the spin-spin correlations of the two-dimensional Ising model.
The candidate should have a strong background in classical and functional analysis, and probability theory. An added bonus would be knowledge of basic representation theory and enumerative combinatorics. A background in physics would be very useful, but not essential.
The location is on the Manawatu Campus in the regional city of Palmerston North, some 2 hours by road north of the capital, Wellington, in the lower North Island of New Zealand.
The scholarship is $NZ 25,000 per annum and tax-free, with all fees waived and the duration is for 3 years.
The Mathematics and Mathematical Physics group in the School of Fundamental Sciences has an active cohort of post-graduate students in applied mathematics, computational bio-statistics, evolutionary and phylogenetic theory and algebra. There is a lively seminar program featuring international visitors and is conducted in a robust atmosphere. Most if not all students have trained outside of New Zealand. There are additional opportunities for development and training in a number of ways: the annual summer school run under the auspices of the New Zealand Mathematical Research Institute with leading international lecturers; the annual mathematics and statistics students conference; the annual NZ Mathematical Society's colloquium and numerous focused special interest workshops in approximation theory, probability & stochastic processes, computational biostatistics and mathematical physics (ANZMP).
Start & duration.
Starting date is June 2019, so please apply now. Please apply with full details of your undergraduate transcripts and a recommendation letter from an academic supervisor or mentor.
Please apply with full details of your undergraduate transcripts and a recommendation letter from an academic supervisor or mentor.