Kathryn Hess Bellwald
Nationality: Swiss
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Expertise
Applications of algebraic topology in computer science, neuroscience, cancer research, and chemical engineering.
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
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