A Great First Week! Here’s my take
First of all I would like to congratulate all the presenters from this week. I learned some things I didn’t…
Topological Knots and Knotted Light
I’ll be doing the final project on how to classify knots. I’m interested in doing this project because knots have…
Classification of Manifolds
The definition of a manifold is fairly unrestrictive — we just need the area around each point to look like…
Lie Groups
My topic will be on Lie groups. Lie groups are groups that are also smooth manifolds such that the smooth…
Persistent Homology via Quivers
A recurring task in data science is understanding the connectivity of information. Agebraic topology offers us tools for understanding, quantifying…
Topological Quantization
I’ve decided to look into topological quantization. Right now it is a pretty broad interest, but that’s kind of the…