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EWM-EMS Summer School: Stability in Topological Data Analysis

June 30 - July 4, 2025

Topological Data Analysis (TDA) aims to develop new techniques based on algebraic topology, commutative algebra, metric geometry, and category theory to understand complex data. Research questions are strongly motivated by applications from neuroscience, image recognition, biology, material science, geography, and beyond. The underlying idea is that topology helps recognize patterns within data and, therefore, turn data into compressed, useful knowledge.
The school will focus on questions about the stability of various TDA tools such as persistence modules and Reeb graphs:
  1. Which metrics can be introduced to ensure the stability of traditional topological invariants?
  2. Which invariants can be developed to ensure stability with respect to traditional metrics?
Through questions like these, TDA enriches the traditional fields of algebraic topology and geometry while at the same time striving for theoretical guarantees for practitioners in data analysis.
Ultimately, the school’s goal is to encourage students to develop their own application-motivated results in TDA by considering well-established principled strategies.

 

Speakers:
Elizabeth Munch
Michigan State University
Martina Scolamiero
KTH Royal Institute of Technology
Katharine Turner
Australian National University

Recorded seminars:

Seminars Scroll to the next upcoming seminar

Participants

Name University Country Arrival and Departure
Clemens
Bannwart
University: University of Modena and Reggio Emilia City: Italy Arrival and Departure:
Dhananjay
Bhaskar
University: Yale University City: United States Arrival and Departure:
Serena Grazia
De Benedictis
University: University of Bari Aldo Moro City: Italy Arrival and Departure:
Ondřej
Draganov
University: Institute of Science and Technology Austria & Université Côte d'Azur City: Austria / France Arrival and Departure:
Ty
Easley
University: Washington University in Saint Louis City: United States Arrival and Departure:
Inés
García-Redondo
University: Imperial College London City: United Kingdom Arrival and Departure:
Berat
Geven
University: Middle East Technical University (METU) City: Turkey Arrival and Departure:
Jehan
Ghafuri
University: University of Buckingham City: United Kingdom Arrival and Departure:
Ishika
Ghosh
University: Michigan State University City: United States Arrival and Departure:
Barbara
Giunti
University: University at Albany City: United States Arrival and Departure:
Bjørnar
Gullikstad Hem
University: École Polytechnique Fédérale de Lausanne City: Norway Arrival and Departure:
Odin
Hoff Gardå
University: University of Bergen City: Norway Arrival and Departure:
Christina
Kapatsori
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure:
Peguy
Kem-Meka Tiotsop Kadzue
University: African Institute for Mathematical Sciences City: Cameroon Arrival and Departure:
Rolando
Kindelan Nuñez
University: University of Chile City: Chile Arrival and Departure:
Tung
Lam
University: University at Albany City: United States Arrival and Departure:
Claudia
Landi
University: University of Modena and Reggio Emilia City: Italy Arrival and Departure:
David
Lanners
University: Durham University City: United Kingdom Arrival and Departure:
Jānis
Lazovskis
University: Riga Technical University City: Latvia Arrival and Departure:
Shabani
Makwaru
University: University of Dar es Salaam City: Tanzania Arrival and Departure:
Isabella
Mastroianni
University: Università degli Studi di Genova City: Italia Arrival and Departure:
Frances
McConnell
University: Macalester College City: United States Arrival and Departure:
Elizabeth
Munch
University: Michigan State University City: United States Arrival and Departure:
Amber
Ramey
University: University at Albany City: Uniteds States Arrival and Departure:
Valimbavaka Hosana
Ranaivomanana
University: Stellenbosch University City: South Africa Arrival and Departure:
Isaac
Ren
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure:
Pepijn
Roos Hoefgeest
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure:
Rabia
Sagheer
University: Institute of Business Administration Karachi City: Pakistan Arrival and Departure:
María Isabel
Sánchez Muñiz
University: University of Minnesota City: United States Arrival and Departure:
Martina
Scolamiero
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure:
Amber
Thrall
University: Washington State University City: United States Arrival and Departure:
Daniel
Tolosa
University: Arizona State University City: United States Arrival and Departure:
Katharine
Turner
University: Australian National University City: Australia Arrival and Departure:
Adaku
Uchendu
University: MIT Massachusetts Institute of Technology City: United States Arrival and Departure:
Elena
Wang
University: Michigan State University City: United States Arrival and Departure:
Qiquan
Wang
University: Imperial College London City: United Kingdom Arrival and Departure:
Ana
Zegarac
University: Federal Institute of Technology Zurich City: Switzerland Arrival and Departure: