About the Position
This position is for a Postdoctoral Research Associate to work on an ARC Discovery Research
Project (DP190102545) to examine the interaction of planar patterns in reaction-diffusion equations.
The position will be hosted at Queensland University of Technology, Australia, within the
School of Mathematical Sciences in the discipline of Applied and Computational Mathematics. The
Postdoctoral Research Associate will work under the direct supervision of the grant chief investigator
Dr. Peter van Heijster. Additional supervision will be provided by the grant's international
principal investigators Prof. Björn Sandstede from Brown University, PI, US, and Prof. Dr. Arjen
Doelman from Leiden University, the Netherlands.
The focus of the research will be on developing and extending state-of-the-art mathematical
techniques, such as the Renormalization Group method for PDEs, to formally and rigorously analyse
the interaction of fundamental two-dimensional, or planar, patterns such as spots and stripes.
First, in a paradigmatic reaction-diffusion equation and, second, in more general reaction-diffusion
equations. These fundamental planar structures form the backbone of more complex patterns and
are, for example, observed in models that describe the propagation of impulses in nerve axons and
the formation of vegetation patterns.
The position will report primarily to Dr. Peter van Heijster for supervision, workload management
and for Performance Planning and Review (PPR). This position has the opportunity to
publish papers in top-tier refereed journals as well as work with leading scholars in their field both
at QUT and internationally.
Key responsibilities include
The Postdoctorate Research Associate will work on the more rigorous aspect of the project. Specifically:
- Develop new mathematical techniques to prove the validity of interaction equations describing
the dynamics of fundamental planar localised structures in a paradigmatic model.
- Assist with the generalisation of these results to hold for a general class of systems of planar
- Derivation of interaction equations describing curvature driven dynamics for non-perfect planar
patterns for a paradigmatic model and for a general class of systems of planar reaction diffusion equations.
- Write papers related to the above mentioned research.
- Undertaking administrative activities in relation to the research project, with possible involvement
in HDR supervision.
- Visit principal investigator Prof. Arjen Doelman at Leiden University for an extended time
to work on part of the the project related to the Renormalization Group Method for planar
- Attend and present at (inter)national conferences. While some funds are available for this in
the budget, the postdoctoral research associate is also required to apply for their own travel
Type of appointment
This appointment will be offered on a fixed-term, full-time basis for 24 months (with a probation
period of 3 months), with an opportunity for extension up to 30 months pending funding.
The classification for this position is Academic Level B1 (Research Associate) which has an annual
salary of $95,179.71AUD per annum. Note that this does not include the additional 17%
superannuation and 17.5% recreation leave loading.
How to Apply
The position is open to all applicants who have completed, or nearly completed, a PhD in Pure or
Applied Mathematics with a significant level of (applied) PDE analysis and/or dynamical systems.
For further information about the position, please contact Dr. Peter van Heijster on 07 3138 1671
or email: firstname.lastname@example.org.
To express your interest in this position we encourage you to email Dr. Peter van Heijster.
When applying for this position your application must include the following:
- Cover Letter,
- CV, and
- Copy of PhD thesis and/or 2 recent significant journal publications.
Your application should be send directly to Dr. Peter van Heijster.
The application closes on 30 April 2019