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: Henri Breloer (UiT)
Next talk: Henri Breloer (UiT)
Feburary 28, 10:30, B485: Henri Breloer, UiT
Title: Intersection theory of algebraic surfaces and the Bogomolov-Miyaoka-Yao inequality
Abstract: The intersection product defined for divisors on an algebraic surface makes it possible to solve general geometric questions by simple computations. This talk aims to introduce these ideas and combine them with the BMY-inequality to understand what types of singular curves can lie on a given surface.