PhD position in Complex dynamical systems
Job Location:
Amsterdam - Netherlands
Monthly Salary:
Posted:
Application Deadline:
Vacancies:
Job Summary
Are you a highly-motivated researcher looking for a PhD position in complex dynamical systems and want to make some impact If yes the analysis group of the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam is looking for you!
In complex dynamical systems we study complicated phenomena that arise when iterating seemingly simple functions over the complex numbers. Examples of such functions include polynomials rational functions trigonometric functions and many others. Core results in the field typically rely on techniques from complex analysis and dynamical systems but the field is broad and is related to many other areas of mathematics including measure theory number theory and algebraic and complex geometry.
As a PhD student in this project you will start working in this area of research under the supervision of Prof. Han Peters. A possible first research question concerns the existence of invariant measures that capture all the chaotic behavior of transcendental dynamical systems. Such measures are known to exist for any rational function but for entire functions in the complex plane the question is wide open.
You will be embedded in the analysis group of the Korteweg-de Vries Institute for Mathematics allowing you the opportunity to benefit from many other mathematicians in the institute. This includes Prof. Ale Jan Homburg and Dr. Maximilian Engel both experts on dynamical systems and ergodic theory postdoctoral researchers Josias Reppekus and Misha Hlushchanka both active in different areas of complex dynamical systems. PhD students and postdoctoral reseachers in the KdV Institute are represented by their council who strive for a socially active and supportive environment.
You will work in the active and exciting research area called complex dynamical systems. Under the supervision of Prof. Han Peters your goal is to find a measure theoretic description of the chaotic behaviour arising in these dynamical systems. While the wider research area is more than a century old this particular project one of many examples of new research directions that are wide open. While working in this area of research you will interact with likeminded colleagues both locally and internationally and you will use your creativity and mathematical talents to obtain new results that may inspire others.
As a PhD student you will at times work individually but as a modern scientist you will also brainstorm and work together with others. During your PhD trajectory you will further develop your collaborative skills. You will meet regularly with your supervisor and attend and lectures in local seminars and colloquia where occasionally you will also lecture on your ongoing project.
With the PhD position there are funds available to travel to national and international conferences on complex dynamical systems and related areas of mathematics.
Besides your main research activities you will teach one course per semester for most semesters while you are employed at the KdVI. There will also be the expectation and opportunity to supervise Bachelor and Master students in their final project under the responsibility of your supervisor.
As a PhD student You are highly motivated to dive further into mathematical research. You are both able to work individually and to collaborate in a team.
Your experience and profile:
- MSc in Mathematics or comparable;
- Flexible readiness to interact and/or collaborate with other researchers;
- An open mind regarding mathematical projects;
- Professional command of English and the willingness to learn Dutch;
A willingness and some experience with programming and/or scientific computer software is considered a plus.
A temporary contract for 38 hours per week for the duration of 4 years (the initial contract will be for a period of 18 months and after satisfactory evaluation it will be extended for a total duration of 4 years). The preferred starting date is to be discussed November 1st 2026 is an indicative date. This should lead to a dissertation (PhD thesis). We will draft an educational plan that includes attendance of courses and (international) meetings. We also expect you to assist in teaching undergraduates and master students.
The gross monthly salary based on 38 hours per week and dependent on relevant experience ranges between3204 to 4051 (scale P).This does not include 8% holiday allowance and 83% year-end allowance. A favourable tax agreement the 30% ruling may apply to non-Dutch applicants.TheCollective Labour Agreement of Universities of the Netherlands is applicable.
Curious about our extensivesecondarybenefitspackage You can read more about ithere.
You will be working in the research group of Prof. Han Peters.
Want to know more about our organisation Read more aboutworking at the University of Amsterdam.
If you feel the profile fits you and you are interested in the job we look forward to receiving your application. You can apply online via the button. We accept applications until and including 16th of September
If you have any questions or do you require additional information Please contact:
- Prof. Han Peters T: 31 (0)
Applications should include the following information (all files besides your cv should be submitted in one single pdf file):
- a detailed CV including the months (not just years) when referring to your education and work experience;
- a letter of motivation;
- a list of publications;
- the names and email addresses of two references who can provide letters of recommendation.
