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
Organizers
Juan Arratia
Student Research Development Center
Universidad Metropolitana
juan.arratia@gmail.com
Janet Best
Mathematical Biosciences Institute
The Ohio State University
jbest@math.ohio-state.edu
Laura Kubatko
Department of Statistics
The Ohio State University
kubatko.2@osu.edu
Carina Curto
Department of Mathematics
Pennsylvania State University
ccurto@psu.edu
Tamal K. Dey
Department of Computer Science and Engineering
The Ohio State University
dey.8@osu.edu
Craig Jackson
Mathematics and Computer Science Department
Ohio Wesleyan University
chjackso@owu.edu
Matthew Kahle
Department of Mathematics
The Ohio State University
kahle.70@osu.edu
Sebastian Kurtek
Department of Statistics
The Ohio State University
kurtek.1@stat.osu.edu
Alicia Prieto Langarica
Department of Mathematics and Statistics
Youngstown State University
aprietolangarica@ysu.edu
Erin Leatherman
Department of Mathematics & Statistics
Kenyon College
leatherman1@kenyon.edu
Yune Lee
Department of Speech and Hearing Science
The Ohio State University
lee.7966@osu.edu
Facundo Memoli
Department of Mathematics
The Ohio State University
memoli@math.osu.edu
Tom Needham
Department of Mathematics
The Ohio State University
needham.71@osu.edu
Pamela Pyzza
Department of Mathematics and Computer Science
Ohio Wesleyan University
pbpyzza@owu.edu
Karen Rios Soto
Department of Mathematics
University of Puerto Rico
karen.rios3@upr.edu
Stephen Rodabaugh
College of Science, Technology, Engineering, and Mathematics
Youngstown State University
serodabaugh@ysu.edu
David Sivakoff
Departments of Statistics and Mathematics
The Ohio State University
dsivakoff@stat.osu.edu
Jamal Tartir
Department of Mathematics
Youngstown State University
tartir@ysu.edu
Yusu Wang
Department of Computer Science and Engineering
The Ohio State University
yusu@cse.ohio-state.edu
Abdul-Aziz Yakubu
Department of Mathematics
Howard University
ayakubu@Howard.edu
Catherine Calder
Department of Statistics and Data Sciences
The University of Texas at Austin
calder@austin.utexas.edu
This workshop is supported by the National Science Foundation Division of Mathematical Sciences (DMS) and Division of Computing and Communication Foundations (CCF).
