The Department of Mathematics and Mathematical Statistics is offering a postdoctoral scholarship in mathematics focusing on complex geometry and optimal transport. The scholarship is full-time for two years commencing 1 September 2024 or by agreement. The last day to apply is 10 June 2024.

The scholarship is part of a significant expansion of the newly formed research group in Geometry. The postdoctoral researcher will become part of a team consisting of Jakob Hultgren and one PhD student (currently being recruited) working on complex geometry and optimal transport. Apart from this recruitment, the current expansion of the group in Geometry involves the recruitment of one postdoc working on structural rigidity and kinematics, one PhD student and one postdoc working on geometric deep learning and one PhD student working in extremal combinatorics. More broadly, the group in Geometry conduct research in complex differential geometry, combinatorial geometry, geometry and symmetries of differential equations, geometric deep learning, finite geometry and incidence geometry.

We also form part of the strong research group Mathematical Modelling and Analysis at Umeå University which covers a wide range of areas: partial differential equations, complex variables, complex analysis, operator theory, mathematical ecology and financial mathematics. The department provides a very international environment. It has approximately 80 employees, among which 50 % received their undergraduate and/or graduate education outside Sweden. Among postdocs, 88 % of members received their undergraduate and/or graduate education outside Sweden.

Project description:
The project is concerned with differential geometric aspects of mirror symmetry in complex geometry, for example the SYZ-conjecture and connections to real Monge-Ampère equations and related optimal transport problems. One possible direction is to explore the relationship between existence and properties of special Lagrangian torus fibrations in Calabi-Yau manifolds on the one hand and related optimal transport problems on the other. This would include combining perspectives from partial differential equations, symplectic, algebraic and differential geometry as well as variational calculus and computational optimal transport.

The appointed candidate is expected to carry out collaborative research according to a mutually agreed research plan. They will also get the opportunity to present their research at international conferences and actively participate in joint workshops and seminars.

The scholarship holder will be based at the Department of Mathematics and Mathematical Statistics at Umeå University. The postdoctoral scholarship is funded and administered by the Kempe Foundation. The stipend will be 737 000 SEK for two years.

Umeå offers excellent working and living conditions. The city is young and located right next to a large river. It is surrounded by forests and lakes and lies close by the sea. In the vicinity there are plenty of opportunities for both indoor and outdoor activities.

For further information and instructions on how to apply, see:
https://www.umu.se/en/work-with-us/postdoctoral-scholarships/6-964-24/