Course co-ordinator(s): Dr Alexandre Martin (Edinburgh).
Abstract Algebra is the study of the algebraic structures that one encounters when trying to solve various mathematical problems. In this course, we will focus on two types of algebraic structures. The first one is the notion of ring, a type of structure that arises naturally in number theory when studying certain diophantine equations, as in Fermat’s Last Theorem. The second one is the notion of group, a type of structure that encapsulates the idea of symmetry. We will see applications of these notions to number theory, geometry, and polynomial equations.
Further information: Syllabus, Number of lectures, Assessment, Learning Outcomes.
SCQF Level: 9.