Math 583—Topological Data Analysis I—will take place in the Earth Science Building 108 on Tuesdays and Thursdays from 10:15am to 11:35 am.
This course will cater to students seeking to understand the role of topology in data science, which an even mix of understanding the continuous “theoretical” side of topology and the discrete algorithmic aspects.
We will follow fairly closely the book Computational Topology by Edelsbrunner and Harer, working from the beginning of the book up to and including the persistence algorithm.
The first text is required, but you should be aware of the other books.
- Computational Topology by Herbert Edelsbrunner and John Harer.
- Elementary Applied Topology by Robert Ghrist.
- Computational Homology (Applied Mathematical Sciences) by Tomasz Kaczynski, Konstantin Mischaikow, and Marian Mrozek.