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PhD position in discrete mathematics

Faculty of Science - Korteweg-de Vries Institute for Mathematics

PhD position in discrete mathematics
Publication date 5 March 2019
Closing date 14 April 2019
Level of education Master's degree
Hours 38 hours per week
Salary indication €2,325 to €2,972 gross per month
Vacancy number 19-138

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 Algorithmic and Combinatorial Aspects of Partition Functions.

Project description

This project concerns the study of various aspects of partition functions and graph polynomials. This is a very active area of research and lies at the interface of combinatorics, probability, theoretical computer science, and statistical physics. The partition function of the Potts model and the hardcore model, also known as the Tutte polynomial and the independence polynomial respectively are prototypical examples. Evaluating these polynomials at certain points gives a lot of information about the graphs, e.g. the number of independent sets, the number of spanning trees, the number of proper q-colourings of a graph, etc. Some of the fundamental questions in this area include: What sort of network structure allows for efficient computation of the partition function? Which network structures maximizes/minimizes the partition function? How does the partition function of a random network behave? Recent developments have shown strong connections between phase transitions in statistical physics and answers to these type of questions.

The position is funded by Networks, a 10 year nationwide collaborative project to investigate stochastic and algorithmic aspects of networks. You will have an opportunity to participate in activities related to this project, which include training weeks and opportunities to collaborate with other members of the project.

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 field;
  • fluency in English, both written and spoken.

Further information

For more information about the position, please contact:

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 may be extended for a total duration of 4 years. The appointment should lead to a dissertation (PhD thesis). An educational plan will be drafted that includes attendance of courses and (international) meetings. The PhD student is also expected to assist in teaching of bachelor and master students.

The gross monthly salary will range from €2,325 (first year) up to a maximum of €2,972 (last year). The salary is based on a full-time appointment (38 hours a week). The total salary includes an additional 8% holiday allowance and 8,3% end-of-year bonus, under the Collective Labour Agreement of Dutch Universities. A favourable tax agreement, the ‘30% ruling’, may apply to non-Dutch applicants.

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 may send in your application no later than 14 April 2019  using the link below.

Please upload the following information in a single PDF file.

  • a detailed curriculum vitae, including a list of your degree courses and grades;
  • a motivation letter (at most 1 page);
  • a copy of your master thesis (if available);
  • names and contact details of two referees.

This vacancy will not be filled up if a suitable Postdoctoral researcher has been selected first (see: vacancy 19-139). #LI-DNP

No agencies please

Apply now