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). 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. 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 . 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 [email protected] 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.