BIOGRAPHY
I got a Bachelor of Science in Chemistry and Math from Alma College in Michigan. I got my PhD in Math from Purdue University.
While at Rice I will continue my collaborations with Dr. Alan Reid studying the profinite completions of 3-manifold groups. One way of understanding the mathematical notion of a 'group' is through the symmetries of patterns in geometric spaces. For example, think about all the ways you could slide or rotate the pattern of a tiled floor to bring the pattern back to itself. Or for more of a challenge, think about the symmetries of the figures in M.C. Escher's 'Circle Limit' series! Many of the groups we consider in our research come from the symmetries of patterns in 3-dimensional hyperbolic space. We try to understand these infinite groups using their finite quotient groups, i.e. we study the finite symmetries that can appear when considering smaller, finite pieces of the larger, infinite patterns.
Fellowship in the Rice Academy provides me direct access to colleagues working in a variety of research areas and a community of peers who are researchers and scholars actively building their academic careers. I am especially excited for the opportunity to communicate and share mathematical ideas with a broader audience.
Outside of work I enjoy playing Ultimate Frisbee, being outdoors, and exploring the city with my family.