Professor Tara Brendle
- Head of Mathematics/ Professor of Mathematics (Mathematics)
My main research interests involve the interplay between algebra and topology. The automorphism group of a surface is a fundamental object in geometric and combinatorial group theory, low-dimensional topology, and algebraic geometry, for example. My research focuses on how these mapping class groups of surfaces are related to other important classes of groups such as braid groups and Coxeter groups, arithmetic groups, and automorphism groups of free groups, as well as the role played by these groups in determining the structure of 3- and 4-manifolds via constructions such as Heegaard splittings and Lefschetz fibrations.