CMI-LMS Research School 2015

Computational Algebraic Topology


Past Event

Linked Event


07-11 September

Computational Algebraic Topology


In the last few years there has been an explosion of work and interest in computational algebraic topology, and in particular in persistent homology and its applications to data analysis.

By now there is an ever evolving sophisticated theory of persistent homology and its variants, some combining powerful tools from other branches of the mathematical sciences, such as statistics and probabilistic tools. The computation of persistent homology for large data sets remains a challenge but several software packages are available and have been tested on real, experimental data. This has led to interesting applications in fields ranging from computer vision to medicine, network analysis and cell biology.

The aim of the research school is to introduce the theory of the subject in three lecture series taking participants from the beginning to research level. An important additional lecture series will concentrate on computational aspects and applications. Practical sessions aim to ensure that participants will be able to use the software packages and perform computations.


  • Robert Ghrist: Foundations of persistent homology
  • Vidit Nanda: Discrete Morse Theory and cellular sheaf theory

    lecture 1, lecture 2.

  • Omer Bobrowski: Random simplicial complexes

    lecture 1, lecture 2, lecture 3.

  • Michael Kerber: Applications and software development

  • A schedule is available here.




    There is limited support available from the LMS for students and early career researchers in the mathematical sciences to cover fees and/or subsistence cost.

    To apply please write to with subject heading "CAT2015application" stating your full name and affiliation. Please include your CV and, in case of graduate students, please ask your supervisor to write an e-mail to the same address in support of your application.

    If you are interested you are advised to apply immediately as funds will be allocated at the end of each week.


    The research school will take place in the Andrew Wiles Building at the Mathematical Institute in Oxford, OX2 6GG.


    Accommodation has been arranged in Somerville College, OX2 6HD, which is right next to the Mathematical Institute. This can be booked through the on-line registration system. Check-in is from 2pm onwards, and check-out is at 10am. There will be a porter on duty all the time.

    For a list of participants and accommodation booked (through the organisers) at Somerville College see here. The dates listed correspond to arrival and departure days.

    For alternative University accommodation in Oxford please see here. For other accommodation please see here.

    travel information

    Heathrow is the most convenient airport, with regular buses direct to Oxford.

    More detailed travel information can be found at the departmental website: Directions to the Mathematical Institute

    This workshop is supported by the Mathematical Institute, Oxford University, and Merton College. Furthermore it is also supported by the London Mathematical Society and the Clay Mathematics Institute.

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