The position is funded through a prestigious Australian Research Council (ARC) Discovery Project, focusing on a complex and cutting-edge area: perfect codes in Cayley graphs and their interplay with algebraic group theory. This research not only deepens our understanding of mathematical structures but also contributes significantly to the broader fields of combinatorics, information theory and symmetry analysis. As a Research Fellow, you’ll be part of a mission-driven academic project that goes beyond routine teaching and publication – it’s about advancing global knowledge and exploring uncharted territory in mathematics.
The project’s unique angle, its solid funding and institutional backing make it a fertile ground for impactful discoveries.
Moreover, the University of Melbourne’s commitment to international research collaboration is evident in its willingness to sponsor visas for eligible candidates from around the globe. This ensures that brilliant minds, regardless of geographical boundaries, have access to world-class research platforms. If you’re an international applicant with a PhD (or are nearing its completion) in graph theory, group theory or a related field, this could be your gateway to a thriving academic career in Australia.
The university’s provision of visa sponsorship, along with its comprehensive onboarding process – including guidance with compliance requirements like the Working with Children Check – creates a seamless transition into Australian academic life.
Beyond the prestige and research potential, this role comes with an attractive benefits package designed to support both your professional and personal well-being. With a competitive salary ranging between AUD $83,468 and $113,262 annually, plus an additional 17% superannuation, your financial growth is assured. Add to that the university’s flexible working arrangements, extensive health and wellness support, salary packaging options and discounts on services like Bupa health insurance – you’re not just joining a workplace, you’re becoming part of a holistic academic community that values your contributions and supports your growth.
In essence, the University of Melbourne isn’t just hiring a Research Fellow – it’s investing in future thought leaders, innovative researchers and passionate mathematicians. Whether you’re a local scholar or an international academic looking for visa-sponsored positions in Australia, this opportunity positions you at the intersection of theory and application, research and mentorship, innovation and tradition.
With the support of an award-winning team, a globally ranked faculty and an inclusive academic environment, your next big breakthrough could begin right here, right now.
Salary Range
AUD $83,468 to $113,262 per year, plus 17% superannuation
Employment Type
Full-time, Fixed-Term Contract (24 months)
Location
Parkville VIC 3010, Australia
This is your opportunity to become part of a world-class research project at the University of Melbourne. If you have a strong background in algebraic graph theory, group theory or related mathematical areas and are passionate about academic discovery, this full-time research fellow role might be the perfect next step for you.
As a Research Fellow in Algebraic Graph Theory, you’ll actively contribute to a major Australian Research Council (ARC)-funded Discovery Project. The project zeroes in on perfect codes in Cayley graphs and their intricate relationships with group structures, offering you a chance to be at the forefront of advanced mathematical research.
What This Position Offers
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Attractive Remuneration: With a salary range between AUD $83,468 and $113,262 annually, plus an added 17% super contribution, this role ensures competitive compensation for your expertise.
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Visa Sponsorship Support: International applicants are welcome – visa sponsorship is offered for eligible candidates.
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Health and Wellbeing: Access a comprehensive Employee Assistance Program (EAP), health insurance discounts and tailored wellbeing support.
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Salary Packaging Options: Maximize your take-home pay through flexible packaging options.
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Professional Growth: Get access to continuous professional development, training programs and internal career pathways.
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Work-Life Balance: Flexible work options and generous leave arrangements are embedded in university culture.
Role Overview – What You’ll Be Doing
Key Responsibilities
As part of the School of Mathematics and Statistics, your work will directly contribute to advancing mathematical research in Australia and beyond. You will:
1. Lead Innovative Research
You will carry out original research in the field of algebraic graph theory, focusing particularly on perfect codes in Cayley graphs and how these intersect with the properties of groups. This research will form a critical part of the ARC-funded project’s goals.
2. Publish and Share Findings
You will actively publish in reputable peer-reviewed journals, contributing to the university’s global academic profile. Furthermore, you’ll have the opportunity to present your research at international conferences, symposiums and workshops.
3. Collaborate and Supervise
You’ll collaborate with senior mathematics researchers and faculty members. You’ll also assist in supervising undergraduate or honours research students, offering mentorship and guidance in research methodology and theoretical problem-solving.
4. Assist in Grant Applications
You’ll contribute to writing and developing research grant proposals, supporting the team’s efforts in securing funding from both internal and external sources.
What We’re Looking For
Essential Qualifications and Experience
You’re an ideal candidate if you bring a strong academic record and collaborative attitude to the table. The following qualifications are required:
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A PhD or near completion in algebraic graph theory, combinatorics, group theory or a closely related field.
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Expertise in group actions, graph symmetry or combinatorial structures.
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Proven ability to carry out independent research.
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A solid track record of academic publications in relevant mathematical journals.
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Demonstrated strong communication skills – both written and verbal.
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Capacity to work in interdisciplinary teams and contribute meaningfully to collective goals.
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Passion or prior experience in mentoring undergraduate students is also highly desirable.
Meet Your Future Team – School of Mathematics and Statistics
The School of Mathematics and Statistics at the University of Melbourne is among Australia’s most prestigious academic institutions in mathematics. The school thrives on a rich history of excellence in research, teaching and academic outreach. It offers both breadth and depth in mathematical and statistical education and research.
Key Highlights of the School:
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Staff Strength: Over 90 academic teaching and research staff, with an additional 37 research-only personnel and consultants.
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Specialists and Support: 19 academic specialists and 16 administrative staff members support research and teaching functions.
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Student Engagement: In 2023, the school supported 143 Research Higher Degree students and 189 students enrolled in the Master of Science coursework program.
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Recognition: Ten staff members have been honoured as Fellows of the Academy of Science for their contribution to the field.
Working in this department means you’ll be part of a supportive academic community, regularly engaging with brilliant minds and passionate educators.
The University of Melbourne – Committed to Your Success
Being a part of the University of Melbourne means you are surrounded by a culture of excellence, inclusion and professional growth. The university is deeply invested in the wellbeing and career development of its staff.
Work Perks at a Glance:
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Flexible working arrangements tailored to your lifestyle.
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Progressive leave options including family, carers and personal leave.
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Salary packaging options that optimize your earnings.
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Comprehensive Employee Assistance Program (EAP) for mental health support.
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Professional development opportunities, including a 25% fee discount on graduate programs for eligible immediate family members.
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Bupa health insurance discounts and other university-wide partner perks.
The University of Melbourne is dedicated to fostering an environment of equity, inclusiveness and diversity. It is a workplace where First Nations peoples, LGBTQIA+ communities, parents and carers, people of all ages, genders, ethnicities, nationalities, faiths and abilities are welcomed and celebrated.
If you have accessibility needs or require reasonable adjustments at any stage of the recruitment process, you are encouraged to reach out confidentially by emailing the contact listed in the official application link (detailed below).
For Aboriginal and Torres Strait Islander Applicants
As part of the University’s commitment to Reconciliation, there is an explicit focus on supporting Aboriginal and Torres Strait Islander students and staff. The university’s Murmuk Djerring strategy (2023–2027) outlines initiatives aimed at boosting opportunities, mentorship and success across campus.
For more information, visit: https://about.unimelb.edu.au/reconciliation/murmuk-djerring
Important Compliance Requirements
This role requires the successful applicant to obtain a Working with Children Check (WWCC). If you do not currently hold one, the university will guide and support you through the application process during onboarding.
How to Apply – Start Your Next Chapter
To submit your application for this exciting opportunity, you will need to prepare the following:
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Updated Resume (CV)
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Cover Letter outlining your interest in the role and relevant experience.
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Response to Selection Criteria, detailing how your background aligns with the job requirements.
For tips on how to address selection criteria, visit:
http://about.unimelb.edu.au/careers/selection-criteria
For recruitment queries, contact:
Oliver Bukasa – hr-careers@unimelb.edu.au
(Please include the Position Number: 0065152 and Job Title in your email subject.)
Important Dates
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Job Advertised: 24 February 2025 (AUS Eastern Daylight Time)
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Application Deadline: 21 April 2025, 11:55 PM (AUS Eastern Standard Time)