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. Discover more via our website. 

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. 

For further information please refer to the attached PD.  

What we offer you!  
We offer the opportunity to be part of a vibrant community and enjoy a comprehensive range of benefits to support your success and sense of fulfillment, including:  

• Supportive flexible work arrangements underpinned by our commitment to inclusion and well-being  
• Progressive, considerate leave provisions to empower your work-life balance  
• Salary packaging and access to a range of discounted services including Bupa health insurance  
• Health and well-being services including a leading Employee Assistance Program  

For more information check out our benefits page!  

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. Discover more about Diversity and Inclusion at UniMelb. 

We're committed to a barrier-free recruitment process and ongoing workplace support, providing reasonable adjustments throughout. We warmly encourage applications from people with disabilities. For assistance, please contact Kim Groizard on +61 3 9035 3218 or at hr-careers@unimelb.edu.au (subject: 'Recruitment Adjustments'). Contact details for other enquiries are located at the bottom of this page. 

Find more information for applicants requiring reasonable adjustments. 

Aboriginal and Torres Strait Islander Applicants  
We aspire to be the University of choice for Indigenous Australians. Our Indigenous strategy, Murmuk Djerring outlines our investment and support for Aboriginal and Torres Strait Islander staff and students.   
Indigenous applicants are encouraged to connect with our Indigenous Employment & Development team at oied-hr@unimelb.edu.au for further information and support.   

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. 

 
Join Us and unlock your career potential!  
If this role is right for you, please apply with the following documents:  

• Resume  
• Cover Letter outlining your interest and experience  
• The responses against the Selection Criteria^ (found in the Position Description)  
• Research Statement 
• Kindly ask three referees for letters of recommendation to send them directly to Faculties-TA@unimelb.edu.au. 

Learn more about the application process, including tips and FAQs. 

For recruitment queries, email Anna hr-careers@unimelb.edu.au. Include the Position Number and Job Title in the subject line. Please do not send applications to this email address. 

For job-specific queries, refer to the contact details in the Position Description. 

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

Position Description: JR-006746 Research Fellow in Random Matrix Theory_PD.pdf