Snabbfakta
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- Villers-lès-Nancy
Ansök senast: 2024-06-09
Post-Doctoral Research Visit F/ M Postdoc Position / Representation of hyperbolic surfaces into R3
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
Rémunération
2788€ gross/month