PhD Studentship in Geometry and Conditioning in Structured Conic Problems
RMIT University

Closing date: 30th January 2015

You will work under the supervision of Dr. Vera Roshchina and Prof. Andrew Eberhard at the School of Mathematical and Geospatial Sciences, RMIT University. The research project is focussed on the structural properties of convex conic problems and their implications in computational complexity.

Conic programming allows one to model and solve large industrial problems via modern optimisation methods, such as interior-point algorithms. These methods are efficient and reliable in solving a vast number of problems, however, fail on a relatively small but significant set of ill-posed instances, thus affecting the overall reliability of the technique. The reason for such behaviour is profound and constitutes one of the major unsolved problems in real complexity: there is no known algorithm that solves conic problems with real data in polynomial time. The goal of this project is to develop a deep understanding of the geometry of conic problems, aiming for the resolution of this fundamental problem in computational theory.

To apply, you should be passionate about mathematics and have an honours or masterís degree (or equivalent) in mathematics or a related discipline with a strong mathematical underpinning. Ambition, creativity and strong IT skills are highly desirable. Please note that this application is open to both Australian and overseas candidates.

Tuition fees will be waived, and the successful applicant will receive a tax free stipend for the duration of three years. The standard RMIT stipend is 28,849p.a.

Please send your application by e-mail to vera.roshchina@unimelb.edu.au. Please attach your academic transcript (a scan of the original and an English translation if necessary) and a detailed note explaining why you are interested in this PhD position and what makes you a good candidate for this project. Apart from your academic performance we also consider important your drive to do research in mathematics and your interest in solving hard problems. Please provide as much evidence as possible on your achievements and interest in mathematics: this may include your publications, successful participation in maths competitions, conferences, workshops and research projects. Please also provide contact details of 2-3 referees: they can be your teachers, academic advisors or other maths-related professionals who can comment on your achievements and research potential.

If you have questions regarding this PhD project and/or the application process, please e-mail vera.roshchina@unimelb.edu.au.



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