PhD position in Algebraic Geometry
The Korteweg-de Vries Institute for Mathematics (KdVI) at the University of Amsterdam (UvA) invites you to apply for a PhD position on the project entitled ‘Algebraic cycles and the rationality problem’.
This project revolves around the central topic of algebraic cycles. In geometry it is often crucial to be able to decide when a topologically given object can be defined by algebraic equations, since this allows one to study the object using powerful tools of algebraic geometry. The famous Hodge Conjecture gives a conjectural criterion for such algebraicity. In 1962 Atiyah and Hirzebruch showed that the stronger Intergral Hodge Conjecture (IHC) is false, however the reason why the IHC should fail is still far from being understood. This boils down to a lack of satisfactory obstruction theory to algebraicity. If such a theory were established and the obstruction to the IHC is always torsion, then one proves the Hodge Conjecture.
- A Master degree in Mathematics or related field with a firm background in algebraic geometry. Knowledge on
algebraic cycles is desirable;
- fluency in English, both written and spoken.
Experience in teaching is a plus.
Webpage for further information and application, see the link below.