The project aims to advance the theory of intersecting families in transitive permutation groups, with emphasis on intersection densities and the Erdős-Ko-Rado (EKR) property, and their interplay with symmetries in vertex-transitive graphs. Research directions include algebraic and combinatorial study of transitive permutation groups, development of computational tools (GAP/MAGMA) for analyzing derangement graphs, and applying these concepts to longstanding problems in algebraic graph theory.

We seek candidates with a strong background in algebraic combinatorics, finite group theory, or graph theory. Programming experience (e.g., GAP, MAGMA) is desirable.

Terms and Conditions

• The position is for 18 months.
• Applicants must possess (or expect to obtain shortly) a PhD in Mathematics or a related area, and show evidence of excellence in algebra, combinatorics, or algebraic graph theory.
• Relevant expertise in algebraic graph theory, permutation groups or computational algebra (e.g. GAP or MAGMA) is desirable.
• The postdoctoral researcher will have access to funding for travel, conferences, and visitors.
• The compensation is set according to the academic title by Slovenian law governing higher education and is expected to be 1800 - 1900 EUR / month after tax.

Deadline and Application process

• Applications will be assessed on a rolling basis until the position is filled, beginning August 2025. The starting date is flexible between October 2025 and October 2026.

To apply, please email the following documents to razpisi.famnitiam@upr.si with the subject line "University of Primorska Postdoc 2025 – Klavdija Kutnar":

• Curriculum Vitae,
• Publication List,
• Research Statement,
• Copies of at most three recent papers or preprints,
• Names and e-mail addresses of two or three persons who can be contacted for reference (and who have agreed to be contacted).

Informal inquiries may be directed by email to Prof. Dr. Klavdija Kutnar (klavdija.kutnar@upr.si).