PhD position in Algebraic Geometry University of Amsterdam, Faculty of Science - Korteweg-de Vries Institute for Mathematics Netherlands

PhD position in Algebraic Geometry


Faculty of Science - Korteweg-de Vries Institute for Mathematics

 

Publication date 21 February 2019


Closing date 31 March 2019


Level of education Master's degree


Hours 38 hours per week


Salary indication €2,325 to €2,972 gross per month


Vacancy number 19-112

 

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.

 

Requirements

  • 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 contact:

  • Mingmin Shen

 

Appointment

The starting date of the appointment is flexible but should be no later than 1 September 2019.

The appointment will be on a temporary basis for a period of 18 months and after satisfactory evaluation it can be extended for a total duration of 4 years. The appointment should lead to a dissertation (PhD thesis).

Based on a full-time appointment (38 hours per week) the gross monthly salary will range from €2,325 (first year) up to a maximum of €2,972 (last year). The annual salary will be increased by 8% holiday allowance and 8,3% end-of-year bonus. The Collective Labour Agreement of Dutch Universities is applicable.

 

Job application

The UvA is an equal opportunity employer. We celebrate diversity and are committed to creating an inclusive environment for all employees. We value a spirit of enquiry and endurance, provide the space to keep asking questions and cherish a diverse atmosphere of curiosity and creativity.

The KdVI strives for a better gender balance in its staff. We therefore strongly encourage women to apply for this position.

 

You can apply no later than 31 March 2019 using the link below. Please upload the following information in a single PDF file:

  • cover letter/letter of motivation (at most 1 page);
  • curriculum vitae, including list of publications;
  • names and contact details of three referees.


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