My Master's thesis studying mapping class groups of CW-complexes and manifolds with fundamental group Z x G, supervised by Alexander Kupers. Using K-Theory we prove arithmeticity of the group of homotopy automorphisms for certain CW-complexes. Then using surgery theory we get finiteness results for certain mapping class groups of high dimensional manifolds.

Summer research on the Torelli Lie algebra, supervised by Alexander Kupers and Daniel Litt. The specific research goal was to try to understand the centre of the Torelli Lie algebra, which has direct implications to both high dimensional topology of manifolds and to algebraic geometry.

This Lie algebra is a representation of the symplectic group and has an explicit presentation, so a large portion of this project was doing computations. In the process of writing code for this project I helped create a new implementation of Specht modules for SageMath.