Kathryn Hess Bellwald

Nationality: Swiss

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

1015 Lausanne

Expertise

Homotopy theory, category theory.
Applications of algebraic topology in computer science, neuroscience, cancer research, and chemical engineering.
Kathryn Hess Bellwald received her PhD from MIT in 1989 and held positions at the universities of Stockholm, Nice, and Toronto before moving to the EPFL.
Her research focuses on algebraic topology and its applications, primarily in the life sciences, but also in materials science.
She has published extensively on topics in pure algebraic topology including homotopy theory, operad theory, and algebraic K-theory. On the applied side, she has elaborated methods based on topological data analysis for high-throughput screening of nanoporous crystalline materials, classification and synthesis of neuron morphologies, and classification of neuronal network dynamics.
She has also developed and applied innovative topological approaches to network theory, leading to a powerful, parameter-free mathematical framework relating the activity of a neural network to its underlying structure, both locally and globally.
She has won several teaching prizes at EPFL, including the Crédit Suisse teaching prize in 2011 and the Polysphère d'Or in 2013. In 2016 she was elected to Swiss Academy of Engineering Sciences and was named a fellow of the American Mathematical Society and a distinguished speaker of the European Mathematical Society in 2017.
In 2021 she gave an invited Public Lecture at the European Congress of Mathematicians.
She was awarded the Chaire de la Vallée Poussin of the Université Catholique de Louvain-la-Neuve in 2023 and was named a fellow of the Association for Women in Mathematics in 2024.

Awards

Doctor honoris causa

Aalborg University

2026

Fellow

Association for Women in Mathematics

2024

Chaire de la Vallée Poussin

Université Catholique de Louvain-la-Neuve

2023

Best teacher in the faculty of life science engineering

FSV

2018

Distinguished speaker

European Mathematical Society

2017

Fellow

American Mathematical Society

2017

Full member

SATW

2017

Polysphère d'Or

AGEPoly

2013

Award for Best Teaching

Crédit Suisse

2012

Publications and theses supervised

Publications

Teaching & PhD

PhD Students

Bjørnar Gullikstad Hem, Markus Kirolos Youssef, Joseph Alasdair Trevannion Griggs

Past EPFL PhD Students

Fabio Simoncini, Chantal Oberson, Orin Sauvageot, Sylvestre Blanc, Jan Brunner, Théophile Naïto, Nicolas Mathieu Michel, Ilias Amrani, Patrick Müller, Varvara Karpova, Marc Stephan, Kay Remo Werndli, Dimitri Zaganidis, Martina Rovelli, Lyne Moser, Celia Hacker, Stefania Ebli, Aras Ergus, Haoqing Wu, Adélie Garin, Kelly Spry Maggs, Riddha Manna

Past EPFL PhD Students as codirector

Rachel Marcone

Courses

Reading group in applied topology II

MATH-681

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.

Topology I - point set topology

MATH-220

We'll start by seeing how the notion of continuity for functions between Euclidean spaces generalizes to functions between metric spaces. We'll then study in detail the elegant and powerful axiomatization of these notions in the framework of topological spaces.

Topology IV.b - Algebraic K-theory

MATH-488

Algebraic K-theory, which to any ring R associates a sequence of groups, can be viewed as a theory of linear algebra over an arbitrary ring. We will study in detail the first two of these groups and some of their applications to other areas of mathematics..

Working group in Topology I

MATH-726(a)

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

MATH-726(b)

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