Missions

The recruited members will participate to the research project "spin curves enumeration" funded by the ERC starting grant 101164820. Three direction of research will be explored:
1 - The computation of tautological relation via the spin GW theory of P1.
2 - The description of the potential of the type B-Frobenius variety, in particular the meromorphic part of the potential at the origin.
3- Local invariants of spin curves

Activités

The position will be centered around the research activities, and primarily the development of theoretical solutions to the main problems and the writing of scientific articles to diffuse the associated fundamental progress. Besides, we will expect the recruited candidate to participate in some of the auxiliary scientific activities including:
- Development of new functions in the admcycles package to allow for new experiments to attack general problems of enumerative geometry.
- Putting in place reading groups on recent scientific developments at the institut mathématiques de toulouse.
- The co-organisation of international conferences and seminars.

Depending on the choice of the candidate and the availability of teaching hours in maths in Toulouse III, some complementary activities of teaching could be put in place.

Compétences

We expect the candidate to have a strong background in enumerative geometry, in particular prior experience with some of the following concepts and techniques : moduli spaces of spin structures, Gromov-Witten theory, moduli spaces of differentials, CohFTs and Frobenius varieties, virtual torus localisation and co-section localisation.

Contexte de travail

The post-doc will be based in Toulouse, at the IMT. The supervision will include a weekly individual meeting to discuss the progress of the project. On top of these individual meetings, collective ones especially around reading groups and seminars will be held on a weekly basis. Ressources will be available for the recruited researchers to participate scientific events in France and abroad.