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Villers-lès-Nancy

    Post-Doctoral Research Visit F/M Postdoc Position - Villers-lès-Nancy, France - INRIA

    INRIA
    INRIA Villers-lès-Nancy, France

    il y a 3 semaines

    Default job background
    CDD
    Description

    Contexte et atouts du poste

    Team

    Gamble, Centre Inria de l'Université de Lorraine, Contacts

    Vincent Despré () and Marc Pouget ()

    Mission confiée

    Context

    This position in a subproject in the team Gamble. The central theme of this project is the study, from an algorithmic point of view, of geometric and combinatorial structures related to hyperbolic surfaces and their moduli, i.e. the set of all hyperbolic metrics on a fixed surface. The needs for hyperbolic geometries are arising, e.g., in crystallography, in geometric modeling, neuromathematics, or physics. The generic needs regarding computer science in all those examples is clearly stated in a very recent paper in Nature Communications: "Spaces with negative curvature are difficult to realize and investigate experimentally". In order to solve this issue, our goal is to develop the study of hyperbolic surfaces in computational geometry and make our results readily available for users. We intend to design efficient algorithms with precise data structures to compute geometrical characteristics of hyperbolic surfaces such as the systole (the smallest noncontractible curve), the diameter, or an optimal pants decomposition.

    Principales activités

    Project Description

    We want to represent hyperbolic surfaces in a comfortable way to help people understand their structure. By Hilbert's theorem, we know that there exists no complete regular surface of constant negative gaussian curvature immersed in . The goal of this postdoc is to explore the different ways that we can relax the hypotheses of Hilbert theorem to obtain representation of hyperbolic surfaces into . We are interesting by both theoretical and practical results on the subject.

    Compétences

    Required qualifications

    MSc in computer science or mathematics.

    Language

    French or English

    Avantages

  • 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 (after 6 months of employment) and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage

    • Rémunération

    2788€ gross/month

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