PhD Candidate for Mathematics KU Leuven, Analysis Section of the Departement of Mathematics

PHD CANDIDATE FOR MATHEMATICS

(Ref. BAP-2017-547)

 

Employment: Full time

Duration: Certain duration

City: Leuven

Apply until: 30/10/2017

 

The Analysis Section of the Departement of Mathematics and the Departement of Mathematics of Radboud University in The Netherlands are seeking an outstanding, highly motivated PhD candidate to work on a project called `Matrix-valued Special Functions and Applications in Physics’. The project concerns the area of analysis, more particularly special functions, with applications in physics. The project is funded by Radboud University and KU Leuven; you will work at each of these two universities for two years. The project is part of a larger programme strengthening the ties between Radboud University and KU Leuven and is supervised by Prof. Erik Koelink (Radboud University) and Prof. Walter Van Assche (KU Leuven). Upon successful completion, you will be awarded a PhD from both Radboud University and KU Leuven. You will be encouraged to attend and contribute to international scientific meetings. You will have a light teaching load and, if necessary, you will be required to perform your teaching duties in English.

 

PHD CANDIDATE FOR MATHEMATICS

 

 

You will be based at the Department of Mathematics at Radboud University during the first two years. The Department of Mathematics is part of the Institute for Mathematics, Astrophysics and Particle Physics (IMAPP). IMAPP has a friendly and open atmosphere, and a strong expertise in mathematical physics and analysis. This year, for the third time in the past five years, our mathematics programme received the highest undergraduate student ratings in a national student survey. 
 

You will be based at the Department of Mathematics at KU Leuven during the last two years of the project. The Department of Mathematics is part of the Faculty of Sciences at KU Leuven. You will work in the Section of Analysis, which has two research groups, one in Classical Analysis (CA) and one in Functional Analysis (FA), with many national and international researchers at the graduate and postdoctoral levels. 

 

 

Project

The research project is called 'Matrix-valued Special Functions and Applications in Physics' and concerns the area of analysis, more particularly special functions, with applications in physics. 

 

The main work packages in the project are:

  • Using explicit families and deformation strategies to find solutions to matrix Toda lattices and related hierarchies, including Lax pair formulations and boundary conditions. We start using recently established sets of matrix-valued orthogonal polynomials, using the fact that we can introduce the time dependence in different ways using the non-commutativity.
  • Study the asymptotic behaviour of the deformed polynomials and the recursion coefficients using the Riemann-Hilbert approach extension to matrix-valued orthogonal polynomials. Establish a connection to inverse scattering.
  • Relate to solutions of matrix Painlevé equations using the previous results and determine the corresponding Bäcklund transformations. Investigate the corresponding symmetries.

 

 

 

Profile

What we expect from you

  • you have an excellent background in mathematics and an interest in physics;
  • you should hold an MSc in Mathematics, preferably with a strong component in physics, or expect to have obtained your MSc by the starting date;
  • you may also apply if you hold an MSc in a related discipline with a very strong mathematical component;
  • a background in analysis would be an advantage, but high mathematical maturity and motivation are of greater importance;
  • proficiency in English is essential.

 

 

 

Offer

What we have to offer

  • employment: 1.0 FTE, two yaers at Radboud University (The Netherlands) and two years at KU Leuven (Belgium).
  • a maximum gross monthly salary of € 2,840 based on a 38-hour working week;
  • in addition to the salary: an holiday allowance and an end-of-year bonus;
  • you will be appointed for an initial period of 18 months, after which your performance will be evaluated. If the evaluation is positive, the contract will be extended by 2.5 years;
  • you will be classified as a PhD candidate in the Dutch university job-ranking system (UFO) and as a PhD candidate in the Arenber Doctoral School of KU Leuven.

 

Upon successful completion, you will be awarded a PhD from both Radboud University and KU Leuven. You will be encouraged to attend and contribute to international scientific meetings. You will have a light teaching load and, if necessary, you will be required to perform your teaching duties in English.

 

 

 

Interested?

Your application should include (and be limited to) the following attachment(s):
-Motivation letter
-CV
-Detailed transcript and explanation of the grades you obtained for you Bachelor's and Master's degree courses


For more information please contact Prof. dr. Walter Van Assche, tel.: +32 16 32 70 51, mail: walter.vanassche@kuleuven.be and/or Prof. dr. Erik Koelink, tel. +31 24 3652597, mail: e.koelink@math.ru.nl

 

 

You can apply for this job no later than October 30, 2017 via the 


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