Kathryn Hess Bellwald
EPFL AVP-SAO GE
CE 1 631 (Centre Est)
Domaines de compétences
BiographieKathryn 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.
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 has won several teaching prizes at EPFL, including the Crédit Suisse teaching prize and the Polysphère d’Or.
PrefaceFoundations Of Data Science. 2022-12-01. DOI : 10.3934/fods.2022021.
A Shadow Perspective on Equivariant Hochschild HomologiesInternational Mathematics Research Notices. 2022-09-21. DOI : 10.1093/imrn/rnac250.
Intact Drosophila central nervous system cellular quantitation reveals sexual dimorphismElife. 2022-07-08. DOI : 10.7554/eLife.74968.
Computational tools for twisted topological Hochschild homology of equivariant spectraTopology And Its Applications. 2022-07-01. DOI : 10.1016/j.topol.2022.108102.
Evaluation of individual and ensemble probabilistic forecasts of COVID-19 mortality in the United StatesProceedings Of The National Academy Of Sciences Of The United States Of America. 2022-04-12. DOI : 10.1073/pnas.2113561119.
giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data ExplorationJournal Of Machine Learning Research. 2021-01-01.
Twisting structures and morphisms up to strong homotopyJournal Of Homotopy And Related Structures. 2020. DOI : 10.1007/s40062-019-00249-w.
Configuration Spaces Of ProductsTransactions Of The American Mathematical Society. 2019-02-15. DOI : 10.1090/tran/7617.
Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysisBioinformatics. 2019-02-07. DOI : 10.1093/bioinformatics/btz052.
Injective And Projective Model Structures On Enriched Diagram CategoriesHomology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n2.a15.
The Homotopy Theory Of Coalgebras Over Simplicial ComonadsHomology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n1.a11.
A necessary and sufficient condition for induced model structuresJournal Of Topology. 2017. DOI : 10.1112/topo.12011.
Twisting structures and strongly homotopy morphismsArXiv. 2010.
A general framework for homotopic descent and codescentArXiv. 2010.
Simulations as homotopiesElectronic Notes in Theoretical Computer Science. 2004. DOI : 10.1016/j.entcs.2004.08.016.
Commutative free loop space models at large primesMathematische Zeitschrift. 2003. DOI : 10.1007/s00209-003-0206-y.
Model categories in algebraic topologyApplied Categorical Structures. 2002. DOI : 10.1023/A:1015218106586.
An algebraic model for homotopy fibersHomology, Homotopy and Applications. 2002.
Hochschild cohomology is topologicalJournal of Pure and Applied Algebra. 2001. DOI : 10.1016/S0022-4049(00)00171-7.
How to model the free loop space algebraicallyMathematische Annalen. 1999. DOI : 10.1007/s002080050303.
Noncommutative algebraic models for fiber squaresMathematische Annalen. 1999. DOI : 10.1007/s002080050302.
Nice and lazy cell attachmentsJournal of Pure and Applied Algebra. 1996. DOI : 10.1016/0022-4049(95)00131-X.
Generalizing a definition of Lusternik and Schnirelmann to model categoriesJournal of Pure and Applied Algebra. 1994. DOI : 10.1016/0022-4049(94)90140-6.
Twisted tensor models for fibrationsJournal of Pure and Applied Algebra. 1994. DOI : 10.1016/0022-4049(94)90136-8.
Mild and tame homotopy theoryJournal of Pure and Applied Algebra. 1993. DOI : 10.1016/0022-4049(93)90003-C.
A proof of Ganea's conjecture for rational spacesTopology. 1991. DOI : 10.1016/0040-9383(91)90006-P.
Enseignement & Phd
Life Sciences Engineering