Klas Modin

Chalmers University of Technology invites applications for a fully funded PhD position in Geometric Hydrodynamics, based in the Division of Applied Mathematics and Statistics at the Department of Mathematical Sciences. This opportunity is ideal for candidates interested in modern differential geometry, computational mathematics, and the modeling of fluid-like phenomena such as atmospheric or oceanic flows and plasma motion. The research project leverages advanced mathematical tools to deepen understanding of partial differential equations governing these natural systems. The Department of Mathematical Sciences at Chalmers is Sweden's largest mathematics department, with around 200 employees and a vibrant international research environment. The division of Applied Mathematics and Statistics is active in biomathematics, biostatistics, spatial modeling, differential equations, Bayesian inference, large-scale computational methods, bioinformatics, data science, machine learning, optimisation, and numerical methods. The department fosters a creative and supportive atmosphere, encouraging collaboration and knowledge exchange with global academic partners. The successful candidate will join Professor Klas Modin's research group, working closely with Dr. Irina Pettersson (head of unit). The project focuses on geometric hydrodynamics, an evolving field that applies differential geometry and computational mathematics to study PDEs describing fluid dynamics in nature. Applicants can explore the history and context of geometric mechanics through provided resources, including slides and blog posts from the group. Eligibility requirements include a Master's degree (120 credits) or a Master's degree (60 credits) in Mathematics with at least one course in differential geometry, or the expectation to complete such a degree by September 1, 2026. For international applicants, a 4-year Bachelor's degree is accepted. Additional qualifications that will strengthen your application include programming experience in Python and/or Julia, an MSc in geometric mechanics or geometric numerical integration, and knowledge of PDE theory. The position offers full funding, with standard Swedish doctoral support. Chalmers University of Technology is renowned for its research and education in technology and natural sciences, with a commitment to scientific excellence and sustainable solutions. The university provides a dynamic and innovative environment, supporting both academic and personal development. Applications must be submitted online via the Chalmers job portal before the deadline of February 23, 2026. For further details and to apply, visit the official application link. Explore more about the research group and project through the provided resources.