Postdoctoral Research Associate in Stochastic PDEs @USydney

Location: School of Mathematics and Statistics, The University of Sydney
Employment Type: Full time 2-year fixed term
Duration: Full time, fixed term position until 6th June 2026, with a possibility on extension.
Remuneration: Base Salary Level A $105,350-$112,462 p.a. +17% superannuation
Closing Date: 28 April 2024
Reference: 0116589

The Faculty of Science is currently seeking a Postdoctoral Research Associate in Stochastic Partial Differential Equations to join the research team based at the Schools of Mathematics and Statistics at the University of Sydney. The incumbent will have expertise either in stochastic analysis or partial differential equation, ideally in both.

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

The technology of magnetic memories is grounded in the theory of strongly nonlinear systems of partial differential equations closely related to the nonlinear Schrödinger equation and to the so-called heat flow for sphere-valued harmonic maps. Solutions of such a system of equations develop singularities such as vortices, skyrmions and hopfions 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.

Your key responsibilities will be to:

• work closely with the research team to realise the aims of the ARC Discovery Project “Mathematics for future magnetic devices’’
• conduct research on stochastic PDEs and their singularities, and their dynamics and stability under the influence of noise
• participate in supervision of PhD students working on topics related to the project
• present findings of the group at local and international meetings and at research seminars
• contribute to preparation of research publications.

The University values courage and creativity; openness and engagement; inclusion and diversity; and respect and integrity. As such, we see the importance of recruiting talent aligned to these values and are looking for a Postdoctoral Research Associate in Stochastic Partial Differential Equations who has:

• a PHD in Mathematics (or close to completing)
• demonstrated 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
• the ability to supervise students at undergraduate level.

To keep our community safe, please be aware of our COVID safety precautions which form our conditions of entry for all staff, students and visitors coming to campus.

Your employment is conditional upon the completion of all roles required pre-employment or background checks in terms satisfactory to the University. Similarly, your ongoing employment is conditional upon the satisfactory maintenance of all relevant clearances and background check requirements. If you do not meet these conditions, the University may take any necessary step, including the termination of your employment.

At the University of Sydney, our shared values include diversity and inclusion and we strive to be a place where everyone can thrive. We are committed to creating a University community which reflects the wider community that we serve. We deliver on this commitment through our people and culture programs, as well as key strategies to increase participation and support the careers of Aboriginal and Torres Strait Islander People, women, people living with a disability, people from culturally and linguistically diverse backgrounds, and those who identify as LGBTIQ. We welcome applications from candidates from all backgrounds.

Learn more about this position and apply: https://usyd.wd3.myworkdayjobs.com/USYD_EXTERNAL_CAREER_SITE/job/Camperdown-Campus/Postdoctoral-Research-Associate-in-Stochastic-Partial-Differential-Equations_0116589-1 .