Role type: Full Time; Fixed-Term for 24 Months
Faculty: Faculty of Science
Department/School: School of Mathematics and Statistics
Salary: Level A – AUD $87,266 - $118,416 (PhD Entry Level - $110,319) p.a. plus 17% super

Advance random matrix theory research.

Work with world-class mathematicians and physicists.

Investing in you - benefits package including salary packaging, health and wellbeing programs, discounted services, and professional development opportunities.

The University of Melbourne
We take pride in our people, who all contribute to our mission to benefit society through the transformative impact of education and research.

Your next career opportunity
You will have the opportunity to contribute to groundbreaking research in random matrix theory as part of an ARC Discovery Project. You'll develop and apply Harmonic Analysis tools on symmetric random matrix spaces, exploring new frontiers in mathematical research. You'll gain experience in advancing spherical transforms, finite free probability, and quantum information applications whilst working alongside leading experts in the field.

Your responsibilities will include:

Conduct Innovative Research: Develop and apply Harmonic Analysis tools on symmetric random matrix spaces, contributing to the advancement of spherical transforms, free probability, symmetric function theory and quantum information.

Publish and Present Findings: Contribute to high-quality academic papers and present research at conferences and seminars.

Collaborate and Mentor: Work effectively within the research group and assist in supervising postgraduate students.

Contribute to Funding Efforts: Assist in preparing research proposal submissions to external funding bodies.

You may be a great fit if:

You are a talented researcher with a PhD (or near completion) in random matrix theory or a related area, with a strong publication track record and excellent analytical skills.

You may also:

Have expertise in orthogonal polynomials, spherical transforms, free probability theory, or symmetric function theory.

Possess experience in Riemann-Hilbert problems, superanalysis, or quantum information theory.Demonstrate strong communication skills and the ability to work collaboratively.

Can contribute to grant applications and student supervision.

Thrive in a collaborative, multidisciplinary research environment.

Your new team – “School of Mathematics and Statistics”
The University of Melbourne's School of Mathematics and Statistics is one of Australia's leading mathematics and statistics schools. It has achieved this status through the high quality of its research and teaching programs. The school offers a wide range of subjects to undergraduate and postgraduate students and is involved in aspects of community life that impact the interests of the school and the discipline.

Science at Melbourne is a global leader across discovery and applied scientific research and education. Science begins with curiosity, and we are dedicated to understanding the universe from the level of sub-atomic particles to the solar system. We aim to be leaders who positively impact the community locally and globally, addressing major societal issues from climate change to disease. Our discoveries help build an understanding of the world around us.

Be Yourself
The University of Melbourne is an Equal Opportunity Employer and a child-safe organisation. We believe the diversity of our community enriches us all, and we are committed to creating an inclusive and fair workplace where everyone is valued, respected, and empowered to succeed. We welcome applicants from all backgrounds, identities, and experiences.

Please note: Visa sponsorship is available.

A Working with Children Check (WWCC) is required for all positions. If successful, we'll guide you through the WWCC application process during onboarding and reimburse the cost.

Applications close: 8 January 2026 at 11:55 PM; Melbourne time zone.