Students will be able to apply logic and reason to prove basic results in geometric group theory. They will be able to use the geometry of the hyperbolic plane and other related simple geometric artefacts to demonstrate many of the standard features of geometric group theory. Students will also be able to
work with free groups and group presentations. While developing theoretical understanding, students will be able to use examples to illustrate different aspects of geometry and group theory.
Prerequisites: (MATH2003 AND MATH2049) or (MATH2003 and MATH2046)