Publications

Discovering PDEs equivariant under rigid motions

Francesco Ballerin, Erlend Grong

• Preprint
• Affiliated research

Monoidal Rips: stable multiparameter filtrations of directed networks

Nello Blaser, Morten Brun, Odin Hoff Gardaa, Lars M. Salbu

Journal of Applied and Computational Topology

• Affiliated research

The free tracial post-Lie-Rinehart algebra of planar aromatic trees for the design of divergence-free Lie-group methods

Adrien Busnot Laurent, Hans Munthe-Kaas, Venkatesh G. S

• Preprint
• Affiliated research

Some Classical Invariants, from Harmonic Quadruples to Triangle Groups

Giorgio Ottaviani; appendix by Vincenzo Galgano

• Preprint
• From our programme

The Wonderful Geometry of the Vandermonde map

Jose Acevedo, Grigoriy Blekherman, Sebastian Debus, Cordian Riener

Foundations of Computational Mathematics

• Affiliated research

A Semidefinite Programming Hierarchy for Covering Problems in Discrete Geometry

Cordian Riener, Jan Rolfes, Frank Vallentin

Numerical Algebra, Control and Optimization

• Affiliated research

Symmetric SAGE and SONC forms, exactness and quantitative gaps

Philippe Moustrou, Cordian Riener, Thorsten Theobald, Hugues Verdure

Journal of Symbolic Computation

• Affiliated research

Zero-curvature subconformal structures and dispersionless integrability in dimension five

Boris Kruglikov, Omid Makhmali

Journal of the London Mathematical Society

• Affiliated research

Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras

Gunnar Fløystad, Dominique Manchon

arXiv

• Preprint
• Affiliated research

The Universal Equivariance Properties of Exotic Aromatic B-series

Adrien Laurent, Hans Z. Munthe-Kaas

Foundations of Computational Mathematics

• Affiliated research

Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces

Hans Z. Munthe-Kaas, Jonatan Stava

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

• Affiliated research

Connectivity in Symmetric Semi-Algebraic Sets

Cordian Riener, Robin Schabert, Thi Xuan Vu

Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation

• Affiliated research

Geometric integration on symmetric spaces

Hans Munthe-Kaas

Journal of Computational Dynamics

• Affiliated research

Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion

Erlend Grong, Hans Z. Munthe-Kaas, Jonatan Stava

Journal of Lie Theory

• Affiliated research

Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials

Mahdi Jasim Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon, Hans Z. Munthe-Kaas

Journal of Noncommutative Geometry (2025 issue)

• Affiliated research

The Aromatic Bicomplex for the Description of Divergence-Free Aromatic Forms and Volume-Preserving Integrators

Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas, Olivier Verdier

Forum of Mathematics, Sigma

• Affiliated research