ResearchMy research is in low dimensional topology. I am interested in studying topological properties and algebraic invariants of spaces of dimension 3 or less. Currently, I study the classification of topologically stratified spaces called 2-stratifolds. A 2-stratifold is a space locally modeled on a 2-dimensional space where n-sheets meet. A local picture of a 2-stratifold is seen above. While the preprint is being written, here are a few items on stratifolds that I've made in the past year.
- My talk, Classifying Stratified Spaces: 2-Foams and 2-Stratifolds I did for the Special Session on
Self-Distributive Structures, Knot Theory,
and the Yang-Baxter Equation at JMM.
- My talk, Classification of 2-stratifolds with Finite Fundamental Group I did for Temple's
- My Poster, Detecting Simply Connected 2-stratifolds I did for FSU
Math Department's Graduate Research Week
- Classifying Trivalent 2-stratifolds with Finite Fundamental Group (Coming soon)