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Research Fellow in Fractional Edge Decompositions of Graphs

Job No.: 687653

Location: Clayton campus

Employment Type: Full-time 

Duration: 2-year fixed-term appointment

Remuneration: $83,280 - $113,025 pa Level A (plus 17% employer superannuation)

  • Amplify your impact at a world top 50 University
  • Join our inclusive, collaborative community
  • Be surrounded by extraordinary ideas - and the people who discover them

The Opportunity

The Research Fellow will contribute to the School's research efforts in combinatorics. This role involves working on a project concerning fractional edge decompositions of graphs, addressing well-studied open problems, and exploring related variants and special cases. The project is led by Daniel Horsley (Monash University), Darryn Bryant, Barbara Maenhaut (University of Queensland), and Peter Dukes (University of Victoria).

Key Responsibilities:

  • Conduct independent and collaborative research in edge decomposition of graphs, fractional structures in graphs

  • Work on well-studied open problems, investigate variants or special cases, and explore new related research directions

  • Contribute to the publication of research findings in peer-reviewed journals and conference proceedings

  • Participate in seminars, workshops, and conferences related to combinatorics and graph theory

The successful candidate will hold a PhD in Mathematics or a closely related discipline, with a strong background in edge decomposition of graphs or fractional structures in graphs. You will have the ability to solve complex mathematical problems.

If you are excited about contributing to cutting-edge research on fractional edge decompositions of graphs and believe you have the skills and passion to thrive in this collaborative rich environment, then we would very much like to hear from you. Don’t miss this chance to join a dynamic team working on fundamental open problems in graph theory — apply today!

About Monash University

At Monash, work feels different. There’s a sense of belonging, from contributing to something groundbreaking – a place where great things happen.

We value difference and diversity, and welcome and celebrate everyone's contributions, lived experience and expertise. That’s why we champion an inclusive and respectful workplace culture where everyone is supported to succeed.

Some 20,000 staff work for Monash around the world. We have 95,000 students, four Australian campuses, and campuses in Malaysia and Indonesia. We also have a major presence in India and China, and a significant centre and research foundation in Italy.

In our short history, we have skyrocketed through global university rankings and established ourselves consistently among the world's best tertiary institutions. We rank in the world’s top-50 universities in rankings including the QS World University Rankings 2026.

Together with our commitment to academic freedom, you will have access to quality research facilities, infrastructure, world class teaching spaces, and international collaboration opportunities. 

Learn more about Monash.

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Monash supports flexible and hybrid working arrangements. We have a range of policies in place enabling staff to combine work and personal commitments. This includes supporting parents

To Apply

For instructions on how to apply, please refer to 'How to apply for Monash Jobs'.

Diversity is one of our greatest strengths at Monash. We encourage applications from Aboriginal and Torres Strait Islander people, culturally and linguistically diverse people, people with disabilities, neurodivergent people, and people of all genders, sexualities, and age groups.

We are committed to fostering an inclusive and accessible recruitment process at Monash. If you need any reasonable adjustments, please contact us at hr-recruitment@monash.edu in an email titled 'Reasonable Adjustments Request' for a confidential discussion.

Your employment is contingent upon the satisfactory completion of all pre-employment and/or background checks required for the role, as determined by the University.

Enquiries: Associate Professor Daniel Horsley, School of Mathematics, daniel.horsley@monash.edu 

Position Description: Research Fellow

Applications Close: Friday 9 January 2026, 11:55pm AEDT

Please note: Monash University will be closed from Wednesday 24 December 2025 until Friday 2 January 2026 inclusive

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Monash University recognises that its Australian campuses are located on the unceded lands of the people of the Kulin nations, and pays its respects to their elders, past and present.