Phd Position F/m Triangulating Stratified Spaces

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

**Type de contrat**: CDD

**Niveau de diplôme exigé**: Bac + 5 ou équivalent

**Fonction**: Doctorant

**A propos du centre ou de la direction fonctionnelle**:
The Inria centre at Université Côte d'Azur includes 42 research teams and 9 support services. The centre's staff (about 500 people) is made up of scientists of different nationalities, engineers, technicians and administrative staff. The teams are mainly located on the university campuses of Sophia Antipolis and Nice as well as Montpellier, in close collaboration with research and higher education laboratories and establishments (Université Côte d'Azur, CNRS, INRAE, INSERM...), but also with the regiona economic players.

With a presence in the fields of computational neuroscience and biology, data science and modeling, software engineering and certification, as well as collaborative robotics, the Inria Centre at Université Côte d'Azur is a major player in terms of scientific excellence through its results and collaborations at both European and international levels.

**Contexte et atouts du poste**:
PhD-opening in the ANR StratMesh project

OVERVIEW AND CONTEXT:
CONTACT:
If you are interested in the position please contact me at mathijs.wintraecken ''at'' inria.fr

STARTING DATE:
The starting date is negotiable, and preferably before 1st of March 2026. However, I hope to conduct the first round of interviews before summer 2025.

**Mission confiée**:
KEYWORDS:
Stratified spaces, Triangulating/Meshing, Manifold and stratification learning, Shape learning, Persistent homology/topological data analysis

SCIENTIFIC GOALS:
Manifolds are the generalizations of surfaces to arbitrary dimension, while stratified spaces consist of manifold pieces but can contain non-smooth ridges and singularities. These spaces occur naturally in many different fields ranging from mechanical engineering and numerical hydrodynamics to algebraic geometry. Moreover, triangulations or meshes (that is combinations of vertices, edges, triangles, etc. that correctly represent underlying space) of these spaces are needed for computations. In spite of the fact that stratified spaces are ubiquitous in physics, engineering and (applied) mathematics, little progress has been made on triangulations of these spaces beyond 3D and even in 3D many challenges remain.

The goal of the StratMesh project and this PhD-project is to triangulate a specific type of stratified spaces, namely those that are given by equations but in arbitrary dimension and codimension.

This is strongly connected with manifold learning or stratification learning, because triangulations allow us to represent a learned shape efficiently and in a way that is relatively straightforward to manipulate.

REFERENCES:
**Principales activités**:
Conduct research in the context of the PhD project, follow the literature and communicate the results of the research both in France and internationally.

**Compétences**:

- Computational geometry, in particular meshing
- Differential geometry
- Computational topology
- Whitney stratified spaces
- Programming in C++
- (Differential) topology

**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**:
Duration: 36 months
Location: Sophia Antipolis, France
Gross Salary per month: 2200€ (2025)

**Informations générales**:

- **Thème/Domaine**: Algorithmique, calcul formel et cryptologie
Calcul Scientifique (BAP E)
- **Ville**: Sophia Antipolis
- **Centre Inria**: Centre Inria d'Université Côte d'Azur
- **Date de prise de fonction souhaitée**: 2025-09-01
- **Durée de contrat**: 3 ans
- **Date limite pour postuler**: 2025-05-16

**Consignes pour postuler**:
**Sécurité défense**:
Ce poste est susceptible d’être affecté dans une zone à régime restrictif (ZRR), telle que définie dans le décret n°2011-1425 relatif à la protection du potentiel scientifique et technique de la nation (PPST). L’autorisation d’accès à une zone est délivrée par le chef d’établissement, après avis ministériel favorable, tel que défini dans l’arrêté du 03 juillet 2012, relatif à la PPST. Un avis ministériel défavorable pour un poste affecté dans une ZRR aurait pour conséquence l’annulation du recrutement.

**Politique de recrutement**:
Dans le cadre de sa politique diversité, tous les postes Inria sont accessibles aux personnes en situation de handicap.

**Contacts**:

- **Équipe Inria**: DATASHAPE
- **Directeur de thèse**:
**L'essentiel pour réussir**:
**REQ