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…
Topological Data Analysis: Natural Language Processing
I’m interested in the capabilities of Topological Data Analysis, most specifically in the context of preforming functions which are done…
Topological Data Analysis in music analysis
The topic I’ve chosen is Topological data analysis for music. The most interesting part I find about this is that…