From the elegance of polynomials and the mystery of prime numbers to the robust frameworks of groups and fields, Algebra is at the core of mathematical discovery. Our group is dedicated to unraveling these complex structures, teaching fundamental Algebra courses, and leading cutting-edge research in both abstract and applied facets of the field.
Our expertise spans Applied and Real Algebraic Geometry, unraveling the geometric complexities of the universe; Coding Theory, ensuring secure communications; Homological Algebra, exploring the interconnectedness of algebraic structures; Number Theory, the pure science of numbers; and Polynomial Optimization, solving critical equations in engineering and economics.
The work of the group bridges the gap between theory and real-world applications, from algorithmic complexity to coding theory and network optimization: algebraic structures influence beyond the realm of mathematics: every equation tells a story, and every discovery opens a pathway to innovation.
People in the group
Faculty
Hans Munthe-KaasProfessor
Hans Munthe-Kaas – Professor
Research interests:
Computational mathematics: geometric integration, Lie theory, applied group theory, approximation theory, harmonic analysis and signal processing
Differential geometry and algebra: algebras of connections on manifolds, combinatorics of formal flows of differential equations and structure preserving discretisations
Our seminar takes place on Fridays, 10:30 - 12:00 in room B 459. If you wish to attend and/or give a talk, please contact Marta Panizzut or Subbaro Venkatesh Guggilam.
Next talk: Glen Wilson (UiT)
Next talk: Glen Wilson (UiT)
February 14, 10:30, B459: Glen Wilson (UiT) Title: What is an infinity-category?
Abstract:
This talk will introduce infinity categories as developed by Jacob Lurie. Our focus will be on the foundations of the theory, as found in chapter 1 of Lurie’s “Higher Topos Theory.” Should time and interest permit, we can discuss constructions of infinity categories of presheaves and their use in motivic homotopy theory.