20 Oct 2023Job Information
University of Warsaw: Faculty of Mathematics, Informatics and Mechanics
Recognised Researcher (R2)
23 Nov 2023 - 23:59 (Europe/Warsaw)
Type of Contract
Hours Per Week
Offer Starting Date
1 Feb 2024
Is the job funded through the EU Research Framework Programme?
Not funded by an EU programme
Is the Job related to staff position within a Research Infrastructure?
Principal Investigator: Bartosz Bieganowski
The National Science Center project „Variational Problems with Singularities Arising from Mathematical Physics”, led by dr Bartosz Bieganowski, is offering one postdoctoral research position in the Institute of Applied Mathematics at the Faculty of Mathematics, Informatics, and Mechanics of the University of Warsaw.
Terms of employment Selected candidate will be employed as full-time researcher (adiunkt). The duration of employment is twenty four months. The starting date will be agreed upon with the selected candidate, between February 1st and April 1st, 2024. The offered salary is approximately 8,500 PLN per month before taxes. The position includes a travel budget and no teaching obligations. Selected candidate will conduct research in the field of quantitative and qualitative analysis of variational problems with emerging peculiarities in mathematical physics.
Description of the project The project takes into account two types of variational problems with singularities. The first one in the Einstein scalar field equation of Lichnerowicz type. It is an equation from the Einstein theory with a variational structure on a Riemannian manifold. However, it has been studied by means of variational methods only for compact manifolds. We plan to extend these methods and results to noncompact manifolds. We will study also more general equations - with a general right hand side, and (as a byproduct) we plan to obtain also results for Schrodinger and Helmholz equations on manifolds. We would also like to study the normalized problem, i.e. with prescribed L2- norm. The second problem is the Schrodinger equation with critical Hardy potential (inverse-square potential). The subcritical Hardy potential has been already studied and is well-understood. In the case of a critical Hardy potential, additional difficulties arise. The quadratic part of the variational functional does not generate a complete norm on the H1 space and one needs to work in a larger space X1. The application of Lions' lemma seems to be cumbersome, because the translated limit point of the minimizing sequence lie in X1 and it is not clear whether it is a solution to the "limiting" equation. Moreover, we plan to study this equation with and without an external potential V. We expect than obtained results, connected with recent works on the curl-curl equation, will allow us to show also an existence-type result for the curl-curl equation with a singular potential.
Requirements For employment in the project, we require candidates to hold a PhD degree in computer science, mathematics, or bioinformatics. The degree must have been obtained no earlier than 7 years prior to the year of employment. Additionally, candidates must possess a strong background in one or more of the following fields within their discipline: Mathematical analysis Variational, topological and geometric methods
Nonlinear partial differential equations
In addition, we expect: Teamwork skills Willingness to cooperate with both doctoral students and students, as well as experienced researchers Ability to communicate freely in English. The competition may be entered by candidates who meet the conditions set out in art. 113 of the Law on Higher Education and Science of July 20, 2018 (Journal of Laws of 2023, item 742, as amended).
An application should include Curriculum Vitae that: presents an overview of the background and scientific achievements of the candidate; lists all the candidate's research works (including not yet published manuscripts); gives a name of a researcher who may serve as references for the candidate. In addition, there should be a signed cover letter addressed to the Dean of the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw together with the personal data clause (attached). No research statements are required. On the day of submitting the application, the candidate does not have to hold a PhD degree.
Applications, as well as further questions on both the scientific topic of the project and formal details of the call procedure should be directed to dr Bartosz Bieganowski:[email protected]
In order to apply for the position, candidates should send an e-mail and submit the documents as attached .pdf files. Application deadline: 23 November 2023 Applications which do not satisfy the above requirements or are submitted after the deadline will not be considered for the position. The applications will be evaluated by a selection committee appointed by the Dean of the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw. The committee may invite candidate to a meeting, which will be conducted remotely. The results of the competition will be sent to candidates electronically on 8 December 2023 at the latest. The competition is the first stage of the recruitment process as described in the Statute of the University of Warsaw, the recommendation by the selection committee being a basis for its subsequent stages.Requirements
PhD or equivalent
PhD or equivalent
Internal Application form(s) needed
(803.59 KB - PDF)
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Number of offers available
Faculty of Mathematics, Informatics and Mechanics, University of Warsaw
GeofieldWhere to apply
https:// www. mimuw.edu.pl
Krakowskie Przedmieście 26/28