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.