collaboration

Mathematical research entails both individual and collaborative work. I enjoy a large network of collaborators: 36 co-authors from 23 universities in 9 countries so far (see publications).

research team

At our Department we have a Geometry and Numerics team. In addition to myself, the current members are:

• Eugen Bronasco (Post-Doc, since 2025) is working on backward error analysis within matrix hydrodynamics.

• Sagy Ephrati (Post-Doc, since 2023) is working on geophysical fluid dynamics (GFD), with an emphasis on methods from matrix hydrodynamics and stochastics.

• Michael Roop (PhD student, since 2021) is working with Zeitlin’s model of 2-D hydrodynamics. The aim is to extend the approach, including the accompanying time discretization, to magneto-hydrodynamics (MHD) and other fluid models from physics. In February 2024 he defended his licentiate thesis titled Geometric discretization for incompressible magnetohydrodynamics on the sphere.

previous members

• Erik Jansson (PhD student, 2020–2025) worked on geometric hydrodynamics and deep learning in a project supported by the WASP program. In May 2025 he defended his thesis titled Geometric Numerical Methods: From Random Fields to Shape Matching. He is doing a post-doc at the University of Cambridge.

• Théo Dumont (Internship, summer 2023) visited us from École des Mines de Paris to work on gradient flow problems residing in the connection between optimal transport and geometric hydrodynamics. He is currently a PhD student in optimal transport at the Université Gustave Eiffel.

• Milo Viviani (PhD student, 2015–2020) defended his thesis Symplectic methods for isospectral flows and 2D ideal hydrodynamics in June 2020. For it he recieved the SciCADE New Talent Award. He is currently Assistant Professor at Scuola Normale Superiore in Pisa, Italy.

• Geir Bogfjellmo (Post-Doc, 2015–2017) worked on the construction and analysis of splines on symmetric spaces. He is currently Associate Professor at the Norwegian University of Life Sciences.