Kathryn Hess Bellwald

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Full Professor

kathryn.hess@epfl.ch +41 21 693 42 45 http://hessbellwald-lab.epfl.ch

Citizenship: Swiss

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

+41 21 693 42 45
+41 21 693 75 75
Office: MA B3 454
EPFL > SV > BMI > UPHESS

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

1015 Lausanne

+41 21 693 42 45
EPFL > SB > MATH > MATH-DIV

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

+41 21 693 42 45
EPFL > VPA-AVP-E > AVP-E > AVP-E-EULER

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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.

Biography

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

2024 : Fellow : Association for Women in Mathematics

2023 : Chaire de la Vallée Poussin : Université Catholique de Louvain-la-Neuve

2018 : Best teacher in the faculty of life science engineering : FSV

2017 : Distinguished speaker : European Mathematical Society

2017 : Fellow : American Mathematical Society

2017 : Full member : SATW

2013 : Polyphère d'Or : AGEPoly

2012 : Award for Best Teaching : Crédit Suisse

Publications

Infoscience publications

Publications and theses supervised

Diving into the heterogeneity of the visual system

S. A. Garobbio / M. Herzog (Dir.)

Lausanne, EPFL, 2024. DOI : 10.5075/epfl-thesis-10628.

Kathryn Hess Bellwald

Full Professor

Fields of expertise

Biography

Awards

Publications

Infoscience publications

Publications and theses supervised

Diving into the heterogeneity of the visual system

Cochains are all you need

From trees to barcodes and back again II: Combinatorial and probabilistic aspects of a topological inverse problem

Resolving the morpho-functional responses of locally-constrained retinal microglia with morphOMICs

MorphOMICs: a new algorithm to unravel region- and sex-dependent microglia morphological plasticity in health and disease

Dynamics of CLIMP-63 S-acylation control ER morphology

Principles of Network Plasticity in Neocortical Microcircuits

Of mice and men: Increased dendritic complexity gives rise to unique human networks

Neuroengineering of hallucinations through fMRI neurofeedback: Understanding and modulating neural dynamics for the control of hallucinations in health and disease

Longitudinal evaluation of the mechanisms supporting post-stroke motor recovery using TMS-EEG coupling

Preface

A tool for mapping microglial morphology, morphOMICs, reveals brain-region and sex-dependent phenotypes

A Shadow Perspective on Equivariant Hochschild Homologies

Intact Drosophila central nervous system cellular quantitation reveals sexual dimorphism

Computational tools for twisted topological Hochschild homology of equivariant spectra

Computational synthesis of cortical dendritic morphologies

A Künneth theorem for configuration spaces

Modeling and simulation of rat non-barrel somatosensory cortex. Part I: Modeling anatomy

Persistent Homology with Improved Locality Information for more Effective Delineation

Epigenetic plasticity as a signature for memory allocation

Reduced representations of complexes, signals, and multifiltrations

A Hopf algebra model for Dwyer's tame spaces

Determining patterns of post-stroke motor recovery through longitudinal multimodal MRI: A step towards patient stratification

Collapse-invariant properties of spaces equipped with signals or directions

Hopf algebras and Hopf-Galois extensions in infinity-categories

Evaluation of individual and ensemble probabilistic forecasts of COVID-19 mortality in the United States

Neuromodulation of neocortical microcircuitry: a multi-scale framework to model the effects of cholinergic release

Genetic selection for low glucocorticoid responsiveness recapitulates PTSD-related phenotypes: a behavioral, neuroimaging and sleep-physiology study

From Trees to Barcodes and Back Again: A Combinatorial, Probabilistic and Geometric Study of a Topological Inverse Problem

Digital Reconstruction of the Neuro-Glia-Vascular Architecture

Supplemental Data - Intact Drosophila Whole Brain Cellular Quantitation reveals Sexual Dimorphism

Homotopical relations between 2-dimensional categories and their infinity-analogues

giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration

Surprise-based model estimation in reinforcement learning: algorithms and brain signatures

Topology predicts long-term functional outcome in early psychosis

From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives

A computational biophysical model of thalamic and reticular nucleus microcircuitry: from neurons to emergent network dynamics

Numerical methods for structural anomaly detection using model order reduction and data-driven techniques

New Results in Integer and Lattice Programming

Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields

Twisting structures and morphisms up to strong homotopy

Topological classification of microglia topological classification of microglia

Topological classification of retinal microglia during development

The unfolding argument: Why IIT and other causal structure theories cannot explain consciousness

Objective Morphological Classification of Neocortical Pyramidal Cells

Topological Analysis Enables Prediction Of Functional And Social Outcomes In Early Psychosis

Configuration Spaces Of Products

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Topological exploration of artificial neuronal network dynamics

Injective And Projective Model Structures On Enriched Diagram Categories

Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis

Extensive amenability and a Tits alternative for topological full groups

Large-scale variational inference for Bayesian joint regression modelling of high-dimensional genetic data

On approximation algorithms and polyhedral relaxations for knapsack problems, and clustered planarity testing

The Homotopy Theory Of Coalgebras Over Simplicial Comonads

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

Generating and identifying functional subnetworks within structural networks

On some problems related to 2-level polytopes

Kazhdan's Property (T) and Property (FH) for measured groupoids

High-Throughput Screening Approach for Nanoporous Materials Genome Using Topological Data Analysis: Application to Zeolites

Development of topological tools for the analysis of biological data

Model-based reinforcement learning and navigation in animals and machines

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Neuronal morphologies: the shapes of thoughts

Towards a unified understanding of synaptic plasticity

On some algebraic and extremal problems in discrete geometry

Algebraic and topological methods in combinatorics

Using the Green's function to simplify and understand dendrites

Towards an (∞,2)-category of homotopy coherent monads in an ∞-cosmos

Representing groups against all odds

Quantifying similarity of pore-geometry in nanoporous materials

A necessary and sufficient condition for induced model structures