Kathryn Hess Bellwald

EPFL SV BMI UPHESS
MA B3 454 (Bâtiment MA)
Station 8
CH-1015 Lausanne

Web site: Web site: https://hessbellwald-lab.epfl.ch

EPFL AVP-SAO GE
CE 1 631 (Centre Est)
Station 1
CH-1015 Lausanne

Web site: Web site: https://formation.epfl.ch/

CH-1015 Lausanne

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Administrative data

Fields of expertise

Homotopy theory, category theory. 
 
Applications of algebraic topology in computer science, neuroscience, cancer research, and chemical engineering.

Publications

Infoscience publications

Teaching & PhD

Teaching

Mathematics

Life Sciences Engineering

PhD Programs

Doctoral Program in Mathematics

Doctoral Program in Neuroscience

Doctoral Program in Computational and Quantitative Biology

Courses

Group Theory

After an introduction to category theory, we will apply the general theory to the particular cas of groups, which will allow us to see notions such as quotient groups and group actions from a new and useful perspective.

Homotopical algebra

This course will provide an introduction to model category theory, which is an abstract framework for generalizing homotopy theory beyond topological spaces and continuous maps. We will study numerous examples of model categories and their applications in algebra and topology.

Reading group in applied topology II

In this reading group, we will work together through recent important papers in applied topology. Participants will take turns presenting articles, then leading a discussion of the contents.

Reading group in applied topology I

In this reading group, we will work together through recent important papers in applied topology. Participants will take turns presenting articles, then leading a discussion of the contents.

Working group in Topology I

The theme of the working group varies from year to year. Examples of recent topics studied include: Galois theory of ring spectra, duality in algebra and topology, and topological algebraic geometry.

Working group in Topology II

The theme of the working group varies from year to year. Examples of recent topics studied include: Galois theory of ring spectra, duality in algebra and topology, topological algebraic geometry and twisted K-theory