Kathryn Hess Bellwald

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

Unit: EDMA-ENS

Unit: MATH-DIV

Unit: SMA-ENS

Administrative data

Fields of expertise

Homotopy theory, category theory.

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

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

PhD Students

Courses

Linear Algebra

The purpose of the course is to introduce the basic notions of linear algebra and its applications. goto


Topology

We begin by recalling the purely axiomatic framework of topology, in particular products of spaces. We then study the notions of separability and connectivity, global and local. Finally we consider constructions of spaces as quotients and the notion of ... goto


Algebraic topology

We study in depth the notion of homology of a topological space, with emphasis on computational methods, even while carefully treating the theoretical foundations. goto


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. goto


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 goto