Lie-Størmer Center

Research at the Lie-Størmer Center (LSC) aims to explore uncharted territory at the interface of computational and pure mathematics, targeting foundational mathematical challenges relevant to the modern information society and geometric dynamical control in engineering. This project builds bridges between pure and computational mathematics, among
Mathematics departments in Tromsø, Bergen, and across Norway, and between high-level research and education within the ERCOM network of European mathematical research centers.
Computational mathematics is a cornerstone of modern science. Its methods are reshaping the foundations of pure mathematics, while abstract mathematical concepts generate fresh insights into algorithms and discretization techniques – critical for numerical computations and simulations. This convergence signifies a pivotal phase in the mathematical sciences, where the divide between pure and applied mathematics is narrowing. Advancing this integration demands collaboration across these fields, which the Lie-Størmer Center will champion.

Our objective is to unite experts to uncover and harness the fundamental structures of mathematical computation and examine its algebraic nature. We aim to establish a comprehensive theory of the underlying mathematical structures that drive computation, focusing on symmetry, order, and structural coherence. Additionally, we will develop structure-preserving algorithms for applications in geometry, probability theory, and dynamical systems. The Lie–Størmer Center will lead these efforts, connecting the global mathematical community to lay a new foundation enriched by significant contributions in geometry, topology, algebra, combinatorics, and applied fields.