Post-Doctoral Research Visit F/M Postdoc Position / Representation of hyperbolic surfaces into R3

Le descriptif de l’offre ci-dessous est en Anglais

Type de contrat : CDD

Contrat renouvelable : Oui

Niveau de diplôme exigé : Thèse ou équivalent

Fonction : Post-Doctorant

Contexte et atouts du poste

Team

Gamble, Centre Inria de l'Université de Lorraine, https://gamble.loria.fr/

Contacts

Vincent Despré (vincent.despre@loria.fr) and Marc Pouget (marc.pouget@inria.fr)

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 {\displaystyle S} of constant negative gaussian curvature {\displaystyle K} immersed in {\displaystyle \mathbb {R} ^{3}}. 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 {\displaystyle \mathbb {R} ^{3}}. 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