My field of specialty is Geometric Group Theory, that is the study of groups as geometric objects. More specifically I study algorithmic problems in infinite discrete groups that exhibit some form of large scale non-positive curvature. I also use low dimensional topology to prove results about groups and group actions.
With my current graduate student Max Hennick, I will also start investigating interractions between group theory and neural networks.
If you are interested in pursuing studies in a topic involving algebra, geometry, topology, computation, or a mix of these, includings mathematical cryptography or mathematical data science at the Master's level, or if you want to do a PhD in geometric group theory please contact me.
Still an undergraduate student? Contact me to apply for an