REFERENCE NO. 1169/0712

Applications are sought for a Postdoctoral Research Associate position in Stochastic Partial Differential Equations. This position is funded by an Australian Research Council (ARC) Discovery Project Grant “Mathematics of novel magnetic memory materials” held by Ben Goldys, Joseph Grotowski and Thanh Tran

The technology of magnetic memories is grounded in the theory of the Landau-Lifschitz-Gilbert equation coupled with the Maxwell equation. The first of these equations is a strongly nonlinear partial differential equation closely related to the nonlinear Schrodinger equation and to the so-called heat flow of sphere-valued harmonic maps. Solutions of such a system of equations develop singularities and vortex type solutions that are expected to lead to new types of magnetic memories operating in nano-scales. In such scales random fluctuations can modify behaviour of solutions hence the aforementioned equations must be modified to include random terms.

The aim of this project is to develop innovative mathematical theory and numerical algorithms for solutions of stochastic partial differential equations that describe time evolution of magnetization in ferromagnetic materials. The mathematical toolset will include analytical methods from stochastic analysis, partial differential equations, multiscale analysis and the theory of dynamical systems.

This is an opportunity to conduct research in a collaborative research team based at the Schools of Mathematics and Statistics at the University of Sydney, the University of New South Wales, the University of Queensland and the University of York, UK. Teaching is not a requirement however opportunities to teach may be available if desired. You must have expertise either in stochastic analysis or partial differential equation, ideally in both. You will be familiar with one of these disciplines and be willing to learn the relevant parts of the other one.

Specifically you will have:
• PhD degree in Mathematics or close to completing one
• expertise in either Stochastic Differential Equations or Partial Differential Equations, ideally in both
• demonstrated ability to conduct high-quality research either independently or as part of a research team
• published research as sole author or in collaboration
• excellent written and verbal communication skills.

Desirable are: research record in strongly nonlinear partial differential equations; research record in stochastic partial differential equations; knowledge of numerical methods for partial differential equations (deterministic or stochastic); ability to supervise students at undergraduate level.

The position is full-time fixed-term for two years subject to completion of a satisfactory probation and confirmation period for new appointees. Further offers may be available subject to funding, need and performance. Membership of a University approved superannuation scheme is a condition of appointment.

Remuneration package: $92K p.a. including $78K p.a. base salary, leave loading and up to 17% superannuation. Some support towards relocation and visa sponsorship will be available for the successful appointee if required.

All applications must be submitted via the University of Sydney careers website. Visit and search by the reference number for more information and to apply.

CLOSING DATE: 5 September 2012 (Sydney time 11:30PM)

The University is an Equal Opportunity employer committed to equity, diversity and social inclusion. Applications from equity target groups and women are encouraged as they are underrepresented in this field.

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