Post-Doctoral Research Visit F/M Geometric numerical integration of stochastic evolutionary problems - intrinsic methods on Riemannian manifolds, algebraic combinatorics, and multiscale analysis

The Inria Centre at the University of Rennes is one of Inria’s nine centres and is home to more than thirty research teams. It is a major and well-recognized player in the field of digital science. The centre is at the heart of a rich ecosystem of R&D and innovation, involving highly innovative SMEs, large industrial groups, competitiveness clusters, research and higher education institutions, excellence laboratories, and a technological research institute.

Objective :
The aim of the postdoc is the design and study of novel approaches for the development of stochastic geometric numerical integration. Depending on the background of the recruited person, the project will focus on the creation of new stochastic integrators on manifolds, the study of the algebraic and geometric structures underlying stochastic numerics, or the design of robust methods for solving multiscale stochastic dynamics.

Funding :
The postdoc is fully funded by the ANR MaStoC (ANR-25-CE40-2862). It includes the necessary funding for conferences, computer equipment, and the organisation of events. Additional funding is provided by the local budget of the MINGuS team

Assignments :
With the help of the ANR MaStoC funding, the recruited person will create new approaches for the geometric integration of stochastic dynamics on manifolds and will present their work in international conferences. It is expected that the candidate learns to conduct their own research independently during the postdoc.

For a better knowledge of the proposed research subject :
A state of the art, bibliography and scientific references are available at the following URL: https://anr.fr/Project-ANR-25-CE40-2862. See also the updates on the project: https://adrienlaurent.net/MaStoC.html.

Collaboration :
The recruited person will be in connection with the Inria MINGuS team members and the members of the ANR MaStoC. The recruited person will have access to the excellent research facilities of Inria, the Mathematics department of Rennes (IRMAR), and the ENS Rennes.

The recruited person will perform the standard research activities: publication of academic papers, organisation and participation in discussions, bibliography, help in the organisation of local research events,... Depending on the background of the recruited person, they may write an accessible software and use it as a mean to present the newly developed methods to the research community. The initiative for local collaborations with the members of the ANR is expected.

The recruited person may invest a minor part of their working time in the life of the mathematics department, including teaching or outreach activities.

Required knowledge and skills in some of the mathematics of the project: stochastic numerics, multiscale analysis, geometric integration, differential geometry, combinatorial algebra. As the project relies on diverse fields of mathematics, it is mandatory that the recruited person shows curiosity, a desire to learn new mathematics, and to communicate on their research.

Languages: fluent english skills.

Relational skills: ability to present their research to a diverse audience, initiative, independence, and ability to initiate and conduct a research project.

Other valued appreciated: Good programming skills (Julia/Python), diversity criteria will be taken into account.

• 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

Monthly gross salary from 2 788 euros.