Enumerative geometry is the field of algebraic geometry dealing with counting geometric objects satisfying constraints. So far, enumerative geometry largely concerned curve counting. This 2-year postdoctoral position is funded by the ERC Consolidator Grant “Surfaces on fourfolds”
on the enumerative geometry of surfaces on Calabi-Yau fourfolds and related subjects. This new field has unexpected connections with various areas of mathematics and physics, such as Hodge theory, singularity theory, representation theory, and string theory.
This ERC project is comprised of two PhD positions and two postdoctoral positions which will be filled during the period September 2023-September 2028.
You can contribute to the ERC project, but you will also have ample freedom to carry out your own research line. You will be part of the research team of Dr. Martijn Kool.
You will be part of the algebraic geometry group and, more generally, 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.
Teaching is not a regular part of this position. If you do like to take on teaching duties, we are open to discussing the possibilities.