Job Description
Organisation/CompanyUNIVERSITY OF SYDNEY Research Field Mathematics Researcher Profile Leading Researcher (R4) Application Deadline 2 Sep *********:00 (UTC) Country Australia Type of Contract Other Job Status Full-time Is the job funded through the EU Research Framework Programme?
Not funded by a EU programme Is the Job related to staff position within a Research Infrastructure?
No
Offer Description
Full time, fixed term for 3 years, located on the Camperdown Campus
Contribute to research in dynamical systems and spectral stability
Base Salary, Academic Level A offering a base salary of $113,634 - $125,896 p.a. + 17% superannuation
About the opportunity
The School of Mathematics and Statistics of the University of Sydney is one of the largest in Australia.
It has 64 continuing academic staff to supervise research and teaching, 51 fixed term staff and postdocs, 97 postgraduate students and 2,288 equivalent full-time student-load undergraduate students.
To learn more about the School of Mathematics and Statistics click here
We are seeking a Postdoctoral Research Associate to contribute to the ARC-funded project "The Maslov index for non-Hamiltonian systems".
Working closely with Associate Professor Robert Marangell at the University of Sydney and Professor Jared Bronski at the University of Illinois, the successful candidate will help develop the generalised Maslov index into a practical tool for stability analysis.
The project will investigate connections between the Maslov index and the Evans function, develop methods for systems with multiple timescales, and apply these techniques to travelling-wave and spectral stability problems.




Potential applications include mathematical biology, superconductivity and nonlinear optics.
The position offers opportunities for international collaboration and for presenting research at major national and international conferences.
Your key responsibilities will be to:
undertake research on Maslov-index methods for non-Hamiltonian systems
develop connections between the Maslov index and the Evans function
investigate fast-slow decompositions using geometric and asymptotic methods
apply analytical and numerical methods to travelling-wave stability problems
develop independent research directions aligned with the project
publish and present research in leading journals and at major conferences
About you
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 Dynamical Systems and Stability Theory who has:
a Ph.D. (or near completion) in Mathematics or a related discipline
research experience in dynamical systems, including spectral or stability analysis of ODEs or PDEs
familiarity with the Maslov index, Evans function or related geometric methods
experience with quick-slow systems, asymptotic analysis or geometric singular perturbation theory
practical experience in numerical computation and scientific programming
a strong research record and excellent communication and collaboration skills
The University reserves the right not to proceed with any appointment.
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📌 Postdoctoral Research Associate In Dynamical Systems And Stability Theory (New South Wales)
🏢 EURAXESS Ireland
📍 New South Wales