Research Themes
Six collaborative themes connecting pure mathematics with computational applications
As a collaborative initiative between the Universities of Tromsø and Bergen, the center serves as a national nucleus for mathematicians throughout Norway. We organize research into six interrelated themes addressing fundamental mathematical structures: CONnections, DEFormations, COMpositions, REPresentations, LINearization, and POLynomials.
These themes emphasize local-versus-global perspectives and algebraic bridges between continuous and discrete representations. With two core center members leading each theme, we coordinate joint work and collaboration across all research themes present at the LSC.
The themes reflect our basic philosophy: centering research around mathematical structures that are fundamental for a fertile interaction between computational and pure mathematics. The topics interlace and overlap in many ways, and we generously exchange ideas between different research themes and communities. We believe in the serendipity of science.
Our research addresses three fundamental 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?