Postdoc position in Permutation groups and graph symmetries
The Departments of Mathematics of the Faculty of Mathematics, Natural Sciences and Information Technologies (UP FAMNIT) and Andrej Marušič Institute (UP IAM) of the University of Primorska are seeking a top early-career researcher for a postdoctoral position in the area of algebraic graph theory and permutation groups, in connection with the research grant of Prof. dr. Klavdija Kutnar, "Extensions of Erdos-Ko-Rado theorem to transitive permutation groups", funded by the Slovenian Research and Innovation Agency.
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 send the following documents in electronic form to razpisi.famnitiam@upr.si with the subject line "University of Primorska Postdoc 2025 – Klavdija Kutnar" in the Subject field:
- 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 Klavdija Kutnar (klavdija.kutnar@upr.si).
Postdoc position in Galois Geometry and Group Actions
The Departments of Mathematics of the Faculty of Mathematics, Natural Sciences and Information Technologies (FAMNIT) and Andrej Marušič Institute (IAM) of the University of Primorska are seeking a top early-career researcher for a postdoctoral position in the area of Galois geometry and group actions, in connection with the research grant of Prof. dr. Michel Lavrauw, "High-Dimensional Actions of Classical Groups in Galois Geometry", funded by the Slovenian Research and Innovation Agency.
This project aims to investigate orbits of subspaces under classical group actions in Galois geometry, focusing on their interaction with algebraic varieties over finite fields. The study of non-standard group actions on Segre and Veronese varieties provides new insights into the structure of tensor decompositions, secant varieties, and geometric invariants relevant to combinatorics and algebraic geometry. A key objective is to examine the orbit structure of subspaces in the ambient space of these varieties, with particular emphasis on the ambient space of the Veronese varieties and their connection to linear systems of quadrics. Understanding these orbits has implications for tensor rank problems and secant varieties, contributing to the broader study of algebraic geometry over finite fields. By development new, and extending the known computational techniques (e.g. using the GAP-package FinInG) the projects aims to establish proof-of-concept results that support a deeper theoretical understanding of high-dimensional group actions. The outcomes will advance the knowledge in finite geometry, algebraic varieties, and their structural properties.
Terms and conditions
- The position is for one year.
- Applicants must possess (or expect to obtain shortly) a PhD in Mathematics or a related area, and show evidence of excellence in algebra, finite geometry, or algebraic geometry. Candidates who completed their PhD recently or will do so by next September are encouraged to apply.
- Relevant expertise in projective geometry, group theory, algebraic geometry over finite fields, or computational algebra (e.g. GAP) 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 about 1800 - 1900 EUR / month after tax.
Deadline and application process
Applications will be assessed on a rolling basis until the position is filled, beginning September 2025. The starting date is flexible, but preferably no later than October 2026.
To apply, please send the following documents in electronic form to razpisi.famnitiam@upr.si with the subject line "University of Primorska Postdoc 2025 - Michel Lavrauw" in the Subject field:
- 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 Michel Lavrauw (michel.lavrauw@upr.si).
