MATH-688 / 1 credit

Teacher: Hess Bellwald Kathryn

Language: English

Remark: Fall semester


Only this year


The focus of this reading group is to delve into the concept of the "Magnitude of Metric Spaces". This approach offers an alternative approach to persistent homology to describe a metric space across varying resolutions. It can be used to estimate an intrinsic dimension of a metric space, similar to



Applied topology, topological data analysis, higher-order networks

Learning Outcomes

By the end of the course, the student must be able to:

  • Differentiate a robust understanding of the concept of the Magnitude of Metric Spaces
  • Develop familiarity with the foundational principles of Category Theory
  • Describe in critical discussions and analyses of seminal and contemporary papers in the domain.



  • Magnitude of compact metric spaces
  • Magnitude of a graph
  • Magnitude meets Persistence
  • Magnitude and Geometric Measure Theory (volume, capacity, dimension)

In the programs

  • Exam form: Oral presentation (session free)
  • Subject examined: Reading group in applied topology I
  • Lecture: 14 Hour(s)
  • Practical work: 14 Hour(s)

Reference week