Ph.D. position in polynomial optimization for calculus of variations

Applications are open for PhD candidates to join a newly established research group led by Prof. Didier Henrion (https://homepages.laas.fr/henion/) at the Czech Technical University in Prague.  These positions are supported by the program OP JAK Roboprox of the Czech Ministry of Education and the European Union.

Our research group which consists of Prof. Martin Kružík (https://staff.utia.cas.cz/kruzik/) and Dr. Milan Korda (https://homepages.laas.fr/mkorda/) is dedicated to exploring polynomial optimization techniques in applied calculus of variations, in particular in continuum mechanics of solids. Variational methods represent a powerful tool for analysis and numerics of problems in elasticity, plasticity, or viscoelasticity where the notion of energy plays a key role. Their analysis often leads to the global minimization  of nonconvex objective functions, a challenging task.

As a researcher in our team, you will play a pivotal role in developing a novel, mathematically rigorous approach to modeling and analysis in nonlinear mechanics of solids.  Beyond these foundational research goals, there is room for tailoring your focus based on your research interests. Potential avenues of exploration include: dynamical/time-dependent problems in the mechanics of solids, minimizing movements and spatial/temporal discretization. Numerical approaches to minimizing movements play a significant role in these topics because the existence-of-solutions proofs are usually done via semidiscretization in time. This, together with spatial discretization, leads to large-scale but highly structured polynomial optimization problems.  Alternative, mesh-free numerical methods based on semidefinite optimization and the moment–sums of squares hierarchy, are also to be investigated and developed. We expect close cooperation with the Polynomial optimization group at  LAAS-CNRS in Toulouse on theoretical and numerical aspects of polynomial optimization..

Why Prague

• Prague regularly ranks among the top five European cities to live in (cf. the most recent Time Out Magazine index)
• Beautiful mountain landscapes and historic cities nearby
• Numerous exquisite European destinations can be reached from Prague without border restrictions or delays, because of Czechia’s Schengen-area membership
• CTU’s Dejvice Campus features a range of student amenities, such as the National Library of Technology, and a laid-back atmosphere with cafes and other social hangout places.
• CTU’s International Student Club provides assistance with study affairs and organizes leisure time and social activities
• CTU is committed to the principles of inclusiveness and gender equity in accordance with its Gender Equality Plan