Université Côte d'Azur, Mathematics

Position ID:
3026-PHDALGEO [#24550]
Position Title:
Phd in Real algebraic geometry and polynomial optimization
Position Type:
Student programs
Position Location:
Nice, Provence-Alpes-Cote d'Azur 06100, France
Appl Deadline:
finished (2024/04/15, finished 2024/10/01, listed until 2024/10/15)
Position Description:
   

*** this position has been closed. ***

Position Description

The J. A. Dieudonné research unit at Université Côte d'Azur (Nice, France) is seeking a PhD candidate in real algebraic geometry and polynomial optimization

Many difficult optimization problems can be modeled as the optimization of a polynomial over a semi-algebraic set. This last problem has seen enormous progress over the last decades thanks to the progress in the theory of nonnegative polynomials (Positivstellensätze by Putinar, Schmüdgen, etc.) and the discovery of hierarchies of sums of squares (by Lasserre and Parrilo). A recruited PhD student will be trained in the field of real algebraic geometry under the supervision of Khazhgali Kozhasov (Chaire de Professeur Junior). One of the objectives is to enrich the state-of-the-art knowledge on the geometry of nonnegative polynomials (in particular sums of squares). ​The results obtained in the thesis will be applied to the study of the structural properties of polynomial optimization problems.

The J. A. Dieudonné unit and Université Côte d'Azur offer a vibrant research environment and this project takes place in very ambitious programs of the University.

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Contact: Khazhgali Kozhasov
Email: email address
Postal Mail:
Labo J. A. Dieudonné
Université Côte d'Azur
Parc Valrose
06108 Nice cedex
France
Web Page: http://univ-cotedazur.fr/english