Welcome to M521A Abstract Algebra . In this course we will be focusing mainly on Group Theory. A few decades ago, group theory could have been regarded by scientists and engineers as merely providing a very valuable tool for the elucidation of the symmetry aspects of real-life problems. However, rececent developments, particularly in high-energy physics, have transformed its role, so that it now occupies a critical position to help usunderstand how the universe was formed and how it has evolved.

Specific examples from interdisciplinary areas will be covered as time allows it. The course is intended for senior undergraduate and first year graduate students in Applied Mathematics, Computational Science, Engineering, Physics, Chemistry, Biology, etc.