PhD Scholarship in Diophantine approximation
La Trobe University

Department of Mathematics and Statistics

Closing date: 30th June 2017

We have an opportunity for a suitably skilled candidate to work on a PhD with Dr Mumtaz Hussain on interconnected topics of Diophantine approximation and dynamical systems.

Diophantine approximation and dynamical systems are broad and topical areas of research in mathematics. Working on problems in these areas requires strong understanding and skills in number theory, measure theory and analysis. Diophantine approximation searches for answers to a simple question: how well is it possible to approximate an irrational number with rational numbers? Finding quantitative answer to this question in reasonable generality and in various settings will be the aim of this PhD project. In particular, the candidate will be working on several problems arising in metric Diophantine approximation and its connections with shrinking target problems in dynamical systems.

Benefits of the scholarship include:

  • a La Trobe research scholarship for three years, with a value of A$26,682.00 per annum, to support your living costs (2017 rate)
  • a full fee-relief scholarship (LTUFFRS) for four years to undertake a PhD at La Trobe University (international applicants only)
  • opportunities to work with La Trobe‚Äôs outstanding researchers, and have access to our suite of professional development programs.

This prestigious scholarship will be awarded to an outstanding applicant (Australian or international) interested in working on problems in Diophantine approximation and dynamical systems.

Contact Dr Mumtaz Hussain at, to informally discuss the research problems. Ensure you attach your latest CV and transcript of your academic record, or copy of your Master's dissertation.

For further information and how to apply, please visit

**Mention you saw it on the AustMS website**