Connections
How does geometry guide computation on manifolds?
Research
Fundamental structures in computational and pure mathematics.
Our six research themes study local and global structures, symmetry and order, and relationships between continuous and discrete mathematics.
Shared questions
- What are the underlying foundations of structured and efficient computations in mathematics?
- How does symmetry, respectively order, facilitate and structure computational processes?
- Which modern algebraic structures build new bridges between the continuous and the discrete?
Research themes
The six themes overlap: methods and questions from one area often turn out to be useful in another.
Deformations
How can mathematical structures vary while preserving their essential properties?
Compositions
What can we learn from the ways mathematical objects compose?
Representations
How can linear algebra make symmetry explicit?
Linearization
How can nonlinear problems become tractable through linear methods?
Polynomials
What do polynomial systems reveal about algebra, geometry and computation?
Research in collaboration
All projectsINCP2: Indo-Norwegian Cooperation in Mathematics
Norwegian and Indian researchers connect algebraic coding theory, polynomial optimization and real algebraic geometry to questions of data transmission and encryption.
Explore the projectStability, Hyperbolicity, and the geometry of zeros of polynomials
A collaboration between UiT and the University of California, Berkeley studying stability, hyperbolicity and the geometry of polynomial zeros.
Explore the projectRecent publications
Discovering PDEs equivariant under rigid motions
- Preprint
- Affiliated research
Monoidal Rips: stable multiparameter filtrations of directed networks
- Affiliated research
The free tracial post-Lie-Rinehart algebra of planar aromatic trees for the design of divergence-free Lie-group methods
- Preprint
- Affiliated research
The book series
Our Springer book series covers fundamental structures in computational and pure mathematics, with collections of papers, surveys, lecture notes and monographs.
Our book series