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    Persistent Homology and Applications in Topological Data AnalysisHSM Special Topic School

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    University of Bonn
    indico-hcm@uni-bonn.de
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    → Europe/Berlin
    Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

    Endenicher Allee 60/1-016 - Lipschitzsaal

    Mathezentrum

    90
    Pavel Barikin (Hausdorff Center for Mathematics)
    Description

    Over the last two decades, research in persistent homology and its applications in topological data analysis has developed from a conceptual mathematical framework into a powerful tool whose use has become commonplace in fields as diverse as machine learning and differential geometry. Modern approaches to understanding the geometric and topological structure of point clouds make extensive use of these methods, necessitating a good command of the relevant tools developed in the persistent framework.


    The aim of this school is to bring together researchers working in the field of computational topology, particularly in persistence theory and its applications in Topological Data Analysis (TDA), to work together on topics in the field. By fostering collaboration at the intersection of mathematics, data science, and the natural sciences, the school will prepare students at the PhD or postdoc level with a solid background in topology or persistent homology to tackle open problems in TDA. There will be a selection of contributed talks.


    Our Global Mobility Fellowships provide participation opportunities for selected researchers and PhD students from countries of the Global South in the Special Topic Schools of the Hausdorff School for Mathematics. For more information, please visit our website.


    The deadline for the application for participation is May 31st, 2026.

    Lecture series by:

    • Kathryn Hess Bellwald (École Polytechnique Fédérale de Lausanne)
    • Magnus Bakke Botnan (Vrije Universiteit Amsterdam)
    • Yasuaki Hiraoka (Kyoto University)
    • David Loiseaux (University of California, Berkeley)

    Scientific Organizers:

    • Ulrich Bauer (TU Munich)
    • Felix Boes (University of Bonn)
    • Benedikt Kolbe (University of Bonn)
    • Vanessa Robins (Australian National University)
    Abstracts Persistent Homology.pdf
    Poster HSM Persistent Homology.pdf
    Schedule Persistent Homology.pdf
    Contact
    Participants
    18 View full list
    • Mon, September 28
      • 8:30 AM → 9:00 AM
        Self Registration 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 9:00 AM → 9:10 AM
        Opening & Introduction 10m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 9:10 AM → 10:00 AM
        Introduction of the participants 50m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 10:00 AM → 11:00 AM
        Introduction to TDA for Machine Learning 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90

        Modern machine learning often relies on finding useful representations of complex, structured data. For data with an underlying geometric structure such as point clouds, images, graphs, or time series, TDA provides tools for constructing representations that capture shape across multiple scales. In this minicourse, I will recall the intuitions of TDA, and introduce the associated statistical and machine learning framework. Then, I'll illustrate how topological features can be extracted from data and how the resulting descriptors can be integrated into typical machine learning pipelines. This includes unsupervised learning (vectorization), kernels (e.g., Sliced Wasserstein), and modern machine learning integration (e.g., autodiff handling).
        Finally, I'll generalize these constructions to the multiparameter persistence setting.

        Speaker: Dr David Loiseaux (Lawrence Berkeley National Laboratory)
      • 11:00 AM → 11:30 AM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 11:30 AM → 12:30 PM
        tbd 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Dr David Loiseaux (Lawrence Berkeley National Laboratory)
      • 12:30 PM → 2:30 PM
        Lunch Break 2h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 2:30 PM → 4:00 PM
        Contributed Talks 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 4:00 PM → 4:30 PM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 4:30 PM → 5:30 PM
        tbd 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Prof. Yasuaki Hiraoka (Kyoto University)
    • Tue, September 29
      • 9:00 AM → 10:00 AM
        tbd 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Dr David Loiseaux (Lawrence Berkeley National Laboratory)
      • 10:00 AM → 10:30 AM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 10:30 AM → 12:30 PM
        tbd 2h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Prof. Yasuaki Hiraoka (Kyoto University)
      • 12:30 PM → 2:30 PM
        Lunch Break 2h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 2:30 PM → 4:00 PM
        Contributed Talks 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 4:00 PM → 4:15 PM
        Coffee & Tea Break 15m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 4:15 PM → 5:00 PM
        Contributed Talks 45m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 5:00 PM → 8:00 PM
        Get-Together 3h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
    • Wed, September 30
      • 9:00 AM → 10:00 AM
        tbd 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Ms Kathryn Hess Bellwald (EPFL)
      • 10:00 AM → 10:30 AM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 10:30 AM → 12:00 PM
        tbd 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Ms Kathryn Hess Bellwald (EPFL)
      • 12:00 PM → 2:00 PM
        Lunch Break 2h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 2:00 PM → 3:30 PM
        tbd 1h 30m B-IT Building/0-0.109 - Hörsaalzentrum Poppelsdorf (Hörsaalzentrum Poppelsdorf)

        B-IT Building/0-0.109 - Hörsaalzentrum Poppelsdorf

        Hörsaalzentrum Poppelsdorf

        B-IT Building
        200
      • 3:30 PM → 4:00 PM
        Coffee & Tea Break 30m B-IT Building/0-0.109 - Hörsaalzentrum Poppelsdorf (Hörsaalzentrum Poppelsdorf)

        B-IT Building/0-0.109 - Hörsaalzentrum Poppelsdorf

        Hörsaalzentrum Poppelsdorf

        200
      • 4:00 PM → 5:00 PM
        Open-Problem Session 1h B-IT Building/0-0.109 - Hörsaalzentrum Poppelsdorf (Hörsaalzentrum Poppelsdorf)

        B-IT Building/0-0.109 - Hörsaalzentrum Poppelsdorf

        Hörsaalzentrum Poppelsdorf

        B-IT Building
        200
      • 6:30 PM → 8:00 PM
        Informal Dinner 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
    • Thu, October 1
      • 9:00 AM → 10:30 AM
        tbd 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 10:30 AM → 11:00 AM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 11:00 AM → 12:30 PM
        Work in Groups 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 12:30 PM → 2:00 PM
        Lunch Break 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 2:00 PM → 3:30 PM
        Work in Groups 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 3:30 PM → 4:00 PM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 4:00 PM → 5:00 PM
        Work in Groups 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 5:00 PM → 6:00 PM
        tbd 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
    • Fri, October 2
      • 9:00 AM → 10:00 AM
        tbd 1h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
        Speaker: Ms Kathryn Hess Bellwald (EPFL)
      • 10:00 AM → 10:30 AM
        Coffee & Tea Break 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 10:30 AM → 12:00 PM
        Work in Groups 1h 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 12:00 PM → 12:30 PM
        Final Group Report 30m Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90
      • 12:30 PM → 2:30 PM
        Departure 2h Endenicher Allee 60/1-016 - Lipschitzsaal

        Endenicher Allee 60/1-016 - Lipschitzsaal

        Mathezentrum

        90