Course outline
•Day/time: Wednesdays at 2pm.
•First day of classes: January 15, 2020. No class March 4th or March 11th.
•Duration: 1hr. - Number of weeks: 12 (last class April 15th).
•Summer experience dates: May 26-29, 2020.
Week 1. Instructor: Facundo Memoli - Introduction to Topological Data Analysis.
Week 2. Instructor: Yusu Wang - Simplical Homology (Section 1: Simplical Homology).
Week 3. Instructor: Yusu Wang - Simplical Homology (Section 2: Matrix view and computation).
Week 4. Instructor: Yusu Wang - Persistent Homology part 1
Week 5. Instructor: Yusu Wang - Persistent Homology part 2
Week 6. Instructor: Yusu Wang - More on Persistent Homology
Week 7. Instructor: Facundo Memoli - Stability of Persistent Homology
Week 8. Instructor: Sebastian Kurtek - Statistical Analysis through TDA Tools
Week 9. Instructor: Facundo Memoli - Point Clouds
Week 10. Instructor: Facundo Memoli - Analysis of TOSCA data
Week 11. Instructor: Carina Curto - Using Persistent Homology to detect Geometric Structure in Neural Correlations (Topological Analysis of Symemetric Matrices).
Week 12. Instructor: Yune S. Lee - The Overview of fMRI
