AATRN hosts two affiliated seminars: a seminar on topological complexity, and a seminar on Vietoris-Rips theory. We have also hosted talks from ATMCS. Click on the relevant subpages for more information.
Topological Complexity seminar
The webpage of the topological complexity seminar can be found here.
Many thanks to romullus for use of the image, taken from this fantastic model.
Workshops and Conferences
Workshop on Bridging Applied and Quantitative Topology
This workshop on Bridging Applied and Computational Topology, which is associated with the Vietoris-Rips seminar, is scheduled for the week of May 9-13, 2022, at 8am-11am Eastern Daylight Time (UTC-4). This workshop is organized by Henry Adams, Johnathan Bush, Sunhyuk Lim, and Facundo Mémoli.
Talks co-hosted by AATRN and ATMCS
These talks were contributed and accepted for ATMCS 9 in 2020, but this was not ATMCS itself (which was cancelled or postponed). The talk schedule spanned Summer 2020 and January 2021. Recordings can be found here.
We also host recorded videos from the following conferences on our YouTube channel:
Recordings from Beyond TDA - Persistent functions and its applications in data sciences, 2021
Recordings from Topological Data Analysis - Theory and Applications, Tutte Institute & Western University, 2021
Recordings from Wright College Topological Robotics Symposium, 2018
Recordings of TDA courses
You can find the following TDA courses on our YouTube Channel:
Recordings from Henry Adams' TDA course.
Recordings from David Damiano's TDA course.
You may be interested in the following other resources that are not organized by AATRN:
Other online research seminars on applied topology include GEOTOP-A: Applications of Geometry and Topology and the Asia Pacific Seminar on Applied Topology and Geometry (APATG).
An important source of applied topology news is appliedtopology.org. Mailing lists with announcements in applied topology include WinCompTop and ALGTOP-L and compgeom-announce. You may also be interested in joining the Slack channel "Geometry & Topology in ML" via their invite link.
Check out the database of articles on real-world applications of TDA, run by Barbara Giunti and Jānis Lazovskis!
Here is a list of applied topology books, ordered by publication year. The list undoubtedly has unintentional omissions; please email aatrn.director"at"gmail.com with updates to this list!
Computational Homology, Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek, 2004.
Topology for computing, Afra J Zomorodian, 2005.
Computational Topology: An Introduction, Herbert Edelsbrunner and John L Harer, 2010.
A Short Course in Computational Geometry and Topology, Herbert Edelsbrunner, 2014.
Elementary Applied Topology, Robert Ghrist, 2014.
Persistence Theory: From Quiver Representations to Data Analysis, Steve Y Oudot, 2015.
Geometric and Toplogical Inference, Jean-Daniel Boissonnat, Frédéric Chazal, Mariette Yvinec, 2018.
Algebraic Foundations for Topological Data Analysis, Hal Schenck, 2021.
Computational Topology for Data Analysis, Tamal Dey and Yusu Wang, 2021.
Introduction to Persistent Homology, Žiga Virk, 2022.