RESEARCH FIELDMathematics › Mathematical analysis
RESEARCHER PROFILEFirst Stage Researcher (R1)
APPLICATION DEADLINE01/08/2021 23:59 - Europe/Brussels
LOCATIONBelgium › Leuven
TYPE OF CONTRACTTo be defined
HOURS PER WEEK38
Non-Hermitian matrices have their eigenvalues in the complex plane. For random non-Hermitian matrices the typical behavior is that the complex eigenvalues behave like mutually repelling charged particles like electrons in a trap that accumulate on a region in the complex plane, known as the droplet. In the simplest cases the droplet is a disk.The doctoral project studies deformations which lead to more complicated droplets. The average characteristic polynomial in these models will be a polynomial with an orthogonality in the complex plane. The zeros of these polynomials typically accumulate along certain contours within the droplet, called a motherbody.
The aim of the project is to describe the topology of the droplets and their motherbodies, their evolution in terms of parameters and to study phase transitions. The goal is to analyse certain models in great detail with tools from integrable probability and asymptotic analysis.The project will be complemented by The University of Melbourne based project and the collaboration will ensure a successful completion of the project.
We offer a four year PhD scholarship with health insurance and mobility support.The scholarship is part of a collaboration with the University of Melbourne, Australia. The Ph.D. candidate will stay 12-24 months at the University of Melbourne.
- Master degree in mathematics, or equivalent, with a strong interest in research, as demonstrated by your master thesis. Master students who will obtain their master degree before the fall of 2021 can apply as well.
- Candidates should be fluent in English. Knowledge of the Dutch language is not required.
- The candidate will have to comply with the KU Leuven regulation on doctoral degrees (https://admin.kuleuven.be/rd/doctoraatsreglement/en/phdregulation-set) and with the regulations of University of Melbourne (https://study.unimelb.edu.au/find/courses/graduate/doctor-of-philosophy-...)
How to apply?You have to use the online application toolYou have to upload exactly three files: 1. A motivation letter2. CV, including the names of two references3. Transcripts of your bachelor and master studies
Evaluation of candidates will start in January 2021, and will continue until the position is filled.For more information please contact Prof. dr. Arno Kuijlaars, tel.: +32 16 32 70 52, mail: firstname.lastname@example.org.
You can apply for this job no later than 01/08/2021 via the online application tool
Web site for additional job details
EURAXESS offer ID: 580264
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