Mathematics PhD positions

The Mathematical Institute of Utrecht University is looking for a PhD candidate to join the project "Real and logarithmic counting invariants — new connections" on the real and logarithmic enumerative geometry of vector bundles, and related subjects.

Enumerative geometry is a field of algebraic geometry with a history dating back to Ancient Greece and with exciting modern developments due to deep connections with theoretical physics. Particularly important are invariants counting vector bundles (or sheaves) — central objects in modern geometry and physics. However, the theory is mostly developed over the complex numbers and in projective spaces severely limiting its scope. 

In this project, we address this by systematically developing real and logarithmic sheaf counting invariants across different dimensions. This Vici project is comprised of 2 PhD positions and 2 postdoc positions which will be filled during the period September 2026 - September 2031. You will join a collaborative research group that also includes PhD candidates and postdocs employed on an ERC Consolidator Grant.

You will be part of the Utrecht Geometry Centre, which encompasses all the research groups in pure mathematics within the Mathematical Institute of Utrecht University. Our expertise covers a broad spectrum of topics, ranging from algebraic and differential geometry to algebraic topology, logic, and number theory.

For more information and to apply: https://www.uu.nl/en/organisation/working-at-utrecht-university/jobs/phd-position-in-algebraic-geometry.