Geometria Complessa e Geometria Differenziale
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Arctic MSCA-IF program 2018

created by moreno on 12 Jan 2018

Deadline: 2 feb 2018

UiT The Arctic University of Norway has established «The Arctic MSCA-IF program» to select excellent young researchers planning to submit applications for a Marie Skƚodowska Curie individual fellowship (MSCA-IF) in order to pursue a research career. We invite applications from promising young researchers within the field of Application of Symmetry in Geometry and Physics. The selected candidate will write a proposal for a 24-month MSCA-IF at UiT together with Prof. Boris Kruglikov. This is an opportunity to accelerate your research career while living in the urban research city of Tromsø, uniquely located at the top of the world surrounded by some of Europe’s last pristine wild nature.

This call is one of 31 from pre-selected supervisors at UiT The Arctic University of Norway through the “Arctic MSCA-IF program”. Successful postdoc candidates will be invited to Tromsø (travel and accommodation expenses covered) for a two-day MSCA-IF symposium on May 30-31, 2018. At this event, the candidates will present their past research achievements, discuss future plans with their potential supervisor and learn how to write a successful MSCA-IF application. Together with the supervisor, the selected candidates will start developing their MSCA-IF application towards the MSCA-IF deadline of September 12th 2018.

In this call we search for talented, young researchers within the field of Mathematics as presented by Prof. Kruglikov:

The project aims at further applications of symmetry in geometry and physics. Many advances in the natural sciences are related to exploiting the concept of symmetry. This simplifies the form of solutions of fundamental equations and provides important models in the natural sciences. The first part of the project is related to the investigation of dispersionless partial differential equations that are integrable by the method of hydrodynamic reductions, existence of Lax representations or via twistor methods. Examples of such equations are the dispersionless Kadomtsev-Petviashvilli equation and the self-dual vacuum Einstein equation important in mathematical physics. For those equations, one can compute a sequence of explicit global solutions. A new geometric approach to integrability and classification will be developed in this project. The second part of the project concerns the investigation of the symmetry breaking mechanism, similar to the celebrated Higgs mechanism in the particle physics. Following the ideas of the supervisors’ earlier work, the obstruction controlling the symmetry dimension is the curvature of the geometry in question. This was elaborated for parabolic geometries and has to be understood for other theories, including non-classical Lagrangians and super-symmetric gauge fields. The prospective researcher shall be knowledgeable in the area of the geometry of differential equations and Cartan geometry. A collaboration with two supervisors (Kruglikov and Dennis The) is expected.

Please send your CV (max 3 pages) and describe a research project that will strengthen and complement the presented research (max 2 pages) to by Feb 2rd 2018. Mark your Application "Boris Kruglikov".

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