Post-Doctoral Research Visit F/M [Campagne Post-Doc] - Novel algorithms for polynomial system solving

Contract type : Fixed-term contract

Level of qualifications required : PhD or equivalent

Fonction : Post-Doctoral Research Visit

Context

The selected candidate will do her/his research at the OURAGAN team which is a joint team of Inria Paris and IMJ-PRG Sorbonne Université. She/he will be located at Sorbonne Université and will (mainly) work with Elias Tsigaridas.

Assignment

Polynomial systems solving is one of the central problems in computational algebra with applications in the whole range of science and engineering. Nevetheless, it is a hard problem and efficient algorithms take into account  the structure and the geometry of input polynomials to compute the solutions efficiently and accurately. A recent trend, of particular importance and with quite promising intial results, relies on the rather recent field of tropical geometry to develop algorithm for polynomial system solving. This approach enhaces tranditional techniques based on symbolic methods, like resultant and Groebner basis, or numerical algorithms, like homotopy continuation.

Main activities

We seek for a postdoctoral researtcher to work on efficient algorithms for polynomial systems solving based on resultant computations and tropical geometry. The focus will be on structured polynomial systems and their applications in control theory.

Skills

The candidate is expected to hold a research phd in mathematics, applied mathematics or computer science.

Benefits package

  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
  • Possibility of teleworking
  • Flexible organization of working hours (after 12 months of employment) 
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training

Remuneration

Monthly gross salary : 2746 €