Korteweg-de Vries Institute for Mathematics PhD Positions in Analysis PhD Positions in Analysis, Netherlands

Publish Date: Mar 01, 2016

Deadline: Mar 31, 2016

Korteweg-de Vries Institute for Mathematics PhD Positions in Analysis

The Korteweg-de Vries Instituut voor Wiskunde (KdV Institute) is the mathematical research institute of the Faculty of Science of the Universiteit van Amsterdam. The KdV Institute offers a stimulating scientific environment in which research focuses mainly within the research programmes:

  1. Algebra, Geometry and Mathematical Physics;
  2. Pure, Applied and Numerical Analysis, and
  3. Stochastics.

It also provides the lecturers and instructors for the mathematics teaching within the Science faculty. The KdV Institute participates in the NWO research clusters GQT, STAR, NDNS+ and DIAMANT and in the Gravity programme NETWORKS. There is formal (and informal) cooperation with the Centrum Wiskunde & Informatica (CWI), the VU University, and with Eurandom in Eindhoven. KdVI counts about 30 staff members and 40 postdoctoral researchers and PhD candidates.

Project description

The KdV Institute offers two new PhD positions in analysis, under supervision of prof. Ale Jan Homburg and dr. Han Peters. The research concerns low dimensional real and complex dynamical systems, with an emphasis on skew products and iterated function systems. 

Project I, funded by an NWO Top grant, concerns the stability set for two-dimensional complex dynamical systems. The existence of wandering domains has long been an open question in this setting, but recently the existence of such domains have been shown for parabolic polynomial skew products. One goal of this project is to determine for which other classes of maps such wandering domains can occur, and to describe the properties of these domains.

Project II is funded by a grant from the NWO cluster for Non-linear Dynamics and Natural Systems. The PhD candidate will investigate intermittency and intermingled basins for low-dimensional systems, such as skew products in both the real and complex setting. Possible goals include a description of attractors and the investigation of fiber-wise stability. 

Candidates can apply to either one or both projects. When applying for both projects, the candidates should mention whether there is a preference for one of the projects.

The starting date of project is no later than 1 September 2016 for project  I and no later than 1 August 2016 for project II.

Requirements

For both positions the candidates are expected to hold a MSc degree in mathematics. A strong background in analysis, and in particular in dynamical systems and/or complex analysis, is a plus.

Further information

For additional information, please contact:

Appointment

The appointment will be on a temporary basis for a period of 4 years (initial appointment will be for a period of 18 months and after satisfactory evaluation it can be extended for a total duration of 4 years) and should lead to a dissertation (PhD thesis). An educational plan will be drafted that includes attendance of courses and (international) meetings. The PhD candidate is also expected to assist in teaching of undergraduates.

Based on a full-time appointment (38 hours per week) the gross monthly salary will range from €2,174 in the first year to €2,779 in the last year. The Collective Labour Agreement for Dutch Universities is applicable.

Job application

Applications should be submitted to application-science@uva.nl.

Candidates can apply to either one or both projects. When applying for one of the projects, please mention the project of interest. When applying for both projects, the candidates should mention whether there is a preference for one of the projects.

The application should include:

  • a letter of motivation;
  • a CV;
  • a list of taken courses with grades;
  • copies of the bachelor and master theses (or drafts of it) as well as any other possible research-style outputs.

Please make sure all your material is attached in only one pdf.

Letters of recommendations (two per applicant) can be sent directly to application-science@uva.nl. In the subject line should be written: 'Letter of recommendation for ...' and the name of the applicant.

Completed applications should be submitted by 31 March 2016 via application-science@uva.nl and should state your name and vacancy number 16-056 in the subject field. The committee cannot guarantee that late or incomplete applications will be considered.


This opportunity has expired. It was originally published here:

http://www.uva.nl/en/research/phd/phd-vacancies/item/16-056_2-phd-candidates-in-analysis.html

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Disciplines

Mathematics

Study Levels

PhD

Opportunity Types

Fellowships

Eligible Countries

International

Host Countries

Netherlands