Phd/doctoral Amsterdam, Netherlands Apply by
Faculty of Science, University of Amsterdam
Korteweg-de Vries Institute for Mathematics
Science Park 107
P.O. Box 94248
1090 GE Amsterdam

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’.

Project description

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.

Although the Hodge Conjecture in its general form is completely out of reach at this moment, there has recently been a lot of attention to the relation between specific instances of the IHC and various classical problems in algebraic geometry. In this project, we aim to understand the failure of the IHC in certain specific situations and try to relate it to the classical rationality problem.

The project is part of the NWO VIDI project ‘Algebraic cycles and the rationality problem’. You will also be involved in teaching in our Bachelor and/or Master programmes in Mathematics. An appropriate travel budget will be provided to attend conferences and present relevant publications.


  • A Master degree in Mathematics or related fieldwith 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.

Further information

For more information about the position, please see our webpage:

Application Instructions

Please send the following information in a single PDF file by using this link:

  • cover letter/letter of motivation (at most 1 page); refer to vacancy number 19-112. 
  • curriculum vitae, including list of publications;
  • names and contact details of three referees


No agencies please

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Contact Person
Dr. Mingmin Shen