Hans Z. Munthe-KaasView profile
Professor
Hans Z. Munthe-Kaas is a Professor in the Department of Mathematics at the University of Bergen. He holds several prominent academic leadership roles, including Chair of the Abel Prize Committee, Editor-in-Chief of Foundations of Computational Mathematics , President of the Norwegian Mathematical Society, and Project Leader of the RCN-Fripro project CODYSMA and the Lie–Størmer Center. His research lies at the intersection of pure and applied mathematics and computer science, with a focus on the Foundations of Computational Mathematics . Key areas include geometric integration, Lie group integrators, Lie–Butcher theory, structure-preserving algorithms for differential equations, multivariate Chebyshev polynomials, and computational algebra. He has pioneered coordinate-free algorithm design through the SOPHUS project and developed the DiffMan MATLAB toolbox for solving differential equations on manifolds. The recent publications show a strong trend in algebraic and geometric structures in numerical analysis, particularly in Lie–Butcher series , B-series , post-Lie algebras , and aromatic trees , with applications to integration on manifolds and homogeneous spaces. These works combine deep theoretical insights with practical computational implications. His scientific honors include the Esso Prize (1999) for his PhD work on numerical linear algebra and parallel algorithms. He has also led major research initiatives and collaborative projects, securing funding from the Research Council of Norway. Munthe-Kaas has advised students at the master’s level and welcomes new thesis projects. He has been active in teaching at all levels, including international courses at AIMS South Africa, CIMPA Brazil, and Morningside Center Beijing. He is also involved in public outreach through programs like 'Mattesirkelen' for high school students. He leads the Lie–Størmer Center and has developed software such as the SOPHUS C++ library and DiffMan toolbox, reflecting his commitment to bridging theoretical mathematics with computational practice.







.jpg)

