OneMath World School 2026

Topological Data Analysis and Applications

A Practical Workshop on TDA Methods and Applications

February 20-28, 2026

FC Kohli Center, CMI, SIPCOT IT Park

Register Now

About the School

The OneMath World School is a first-of-its-kind global program initiated by BIRS partner institutions. It is designed to connect young mathematical talent with leading experts in emerging fields. This initiative brings together advanced undergraduates, graduate students, and early-career researchers from around the world to collaborate with established leaders and explore cutting-edge topics at the intersection of theory and application. Visit the link for more details.

This School provides a practical introduction to topological data analysis (TDA) with emphasis on hands-on techniques and implementation. Participants will learn to apply TDA methods, particularly Persistent Homology and the Mapper algorithm, to extract meaningful features from complex datasets.

Target Audience

Masters and PhD students, postdocs, and early career researchers in Mathematics and Computer Science

Participants

Up to 40 participants with 8 local and invited speakers

Prerequisites

Participants should have proficiency in either:

  • Basic algebraic topology, OR
  • Machine learning fundamentals and Python programming
Important Dates
  • Registration Deadline
    December 15, 2025
  • Selection Announcement
    December 31, 2025
  • Boot Camp
    February 20-21, 2026
  • Mini Courses
    February 23-26, 2026
  • Group Projects
    February 27-28, 2026

Program Structure

Day 1-2 Boot Camp

February 20-21, 2026

A comprehensive introduction to bring all participants to the same foundational level:

  • Crash course on simplicial complexes and combinatorial techniques
  • Simplicial homology and related linear algebra
  • Machine learning fundamentals: classification algorithms, clustering and dimensionality reduction
  • Python tutorials for ML implementation

Day 3-6 Mini Courses

February 23-26, 2026

Four days of intensive lectures and hands-on tutorials:

  • Morning sessions: Theoretical foundations and advanced concepts
  • Afternoon sessions: Hands-on tutorials with Python libraries

Day 7-8 Group Projects

February 27-28, 2026

Participants work in groups on real-life applications:

  • Image analysis: classification, segmentation, boundary detection
  • Time series and signal processing
  • Robotics applications

Mini Courses

Introduction to Persistent Homology
  • Filtrations of topological spaces
  • Simplicial complexes from point clouds
  • Persistent barcodes and diagrams
  • scikit-tda library
  • Stability and distances
Mapper Algorithm
  • Morse theory and Reeb graphs
  • Topological Mapper construction
  • Parameter selection techniques
Topological Machine Learning
  • Persistence landscapes and other vectorization methods
  • Euler characteristic transforms
  • Feature engineering for ML
Applied Persistent Homology
  • Configuration space of the cyclo-octane molecule
  • Anisotropic Kuramoto-Sivashinsky equation
  • Time series analysis and Takens' embedding theorem
Topology in Visualization
  • Visualization of scientific data
  • Applications of Mapper
  • KeplerMapper library

Invited Speakers

Henry Adams

University of Florida

Vijay Natarajan

IISc Bangalore

Steve Oudot

Inria Saclay - Ile-de-France

Bastian Rieck (Online)

University of Fribourg

Bei Wang (Online)

University of Utah

D. Yogeshwaran

ISI Bangalore

More speakers TBA

Additional speakers to be announced

Registration

Register for TDA Workshop 2026

Please fill the Google Form located here, by December 15th. The organizers will declare the participants list before early January.

For inquiries and updates, please contact:

Email: Coming Soon

Website: Coming Soon

Note: Limited to 40 participants. Early registration is encouraged. The participants will be provided meals and accommodation. We do not have funds for travel support.

Local Organizers

Priyavrat Deshpande

Chennai Mathematical Institute

Vijay Natarajan

IISc Bangalore

Siddharth Pritam

Chennai Mathematical Institute