Kathryn Hess Bellwald
Professeure ordinaire
kathryn.hess@epfl.ch +41 21 693 42 45 http://hessbellwald-lab.epfl.ch
Nationalité: Swiss
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Web site: Site web: https://hessbellwald-lab.epfl.ch
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Web site: Site web: https://math.epfl.ch/
Domaines de compétences
Biographie
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 by the Université Catholique de Louvain-la-Neuve in 2023 and was named a fellow of the Association for Women in Mathematics in 2024.
Publications
Publications Infoscience
Publications
From trees to barcodes and back again II: Combinatorial and probabilistic aspects of a topological inverse problem
Computational Geometry. 2024. DOI : 10.1016/j.comgeo.2023.102031.Dynamics of CLIMP-63 S-acylation control ER morphology
Nature Communications. 2023-01-17. DOI : 10.1038/s41467-023-35921-6.Preface
Foundations Of Data Science. 2022-12-01. DOI : 10.3934/fods.2022021.A tool for mapping microglial morphology, morphOMICs, reveals brain-region and sex-dependent phenotypes
Nature Neuroscience. 2022-09-30. DOI : 10.1038/s41593-022-01167-6.A Shadow Perspective on Equivariant Hochschild Homologies
International Mathematics Research Notices. 2022-09-21. DOI : 10.1093/imrn/rnac250.Intact Drosophila central nervous system cellular quantitation reveals sexual dimorphism
Elife. 2022-07-08. DOI : 10.7554/eLife.74968.Computational tools for twisted topological Hochschild homology of equivariant spectra
Topology And Its Applications. 2022-07-01. DOI : 10.1016/j.topol.2022.108102.Computational synthesis of cortical dendritic morphologies
Cell Reports. 2022-04-05. DOI : 10.1016/j.celrep.2022.110586.A Künneth theorem for configuration spaces
Journal of the London Mathematical Society. 2022-02. DOI : 10.1112/jlms.12536.Modeling and simulation of rat non-barrel somatosensory cortex. Part I: Modeling anatomy
bioRxiv. 2022. DOI : 10.1101/2022.08.11.503144.Persistent Homology with Improved Locality Information for more Effective Delineation
IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022. DOI : 10.1109/TPAMI.2023.3246921.Evaluation of individual and ensemble probabilistic forecasts of COVID-19 mortality in the United States
Proceedings Of The National Academy Of Sciences Of The United States Of America. 2022-04-12. DOI : 10.1073/pnas.2113561119.Digital Reconstruction of the Neuro-Glia-Vascular Architecture
Cerebral Cortex. 2021-12-01. DOI : 10.1093/cercor/bhab254.giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration
Journal Of Machine Learning Research. 2021-01-01.Topology predicts long-term functional outcome in early psychosis
Molecular Psychiatry. 2021. DOI : 10.1038/s41380-020-0826-1.From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives
Algorithms. 2020-12-11. DOI : 10.3390/a13120335.Twisting structures and morphisms up to strong homotopy
Journal Of Homotopy And Related Structures. 2020. DOI : 10.1007/s40062-019-00249-w.The unfolding argument: Why IIT and other causal structure theories cannot explain consciousness
Consciousness And Cognition. 2019-07-01. DOI : 10.1016/j.concog.2019.04.002.Objective Morphological Classification of Neocortical Pyramidal Cells
Cerebral Cortex. 2019-04-01. DOI : 10.1093/cercor/bhy339.Configuration Spaces Of Products
Transactions Of The American Mathematical Society. 2019-02-15. DOI : 10.1090/tran/7617.Topological exploration of artificial neuronal network dynamics
Network Neuroscience. 2019-01-01. DOI : 10.1162/netn_a_00080.Injective And Projective Model Structures On Enriched Diagram Categories
Homology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n2.a15.Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis
Bioinformatics. 2019-02-07. DOI : 10.1093/bioinformatics/btz052.The Homotopy Theory Of Coalgebras Over Simplicial Comonads
Homology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n1.a11.High-Throughput Screening Approach for Nanoporous Materials Genome Using Topological Data Analysis: Application to Zeolites
Journal of Chemical Theory and Computation. 2018. DOI : 10.1021/acs.jctc.8b00253.Quantifying similarity of pore-geometry in nanoporous materials
Nature Communications. 2017. DOI : 10.1038/ncomms15396.A necessary and sufficient condition for induced model structures
Journal Of Topology. 2017. DOI : 10.1112/topo.12011.Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function
Frontiers In Computational Neuroscience. 2017. DOI : 10.3389/fncom.2017.00048.Waldhausen K-theory of spaces via comodules
Advances in Mathematics. 2016. DOI : 10.1016/j.aim.2015.12.019.The Hochschild complex of a twisting cochain
Journal of Algebra. 2016. DOI : 10.1016/j.jalgebra.2015.11.040.The homotopy theory of coalgebras over a comonad
Proceedings of the London Mathematical Society. 2014. DOI : 10.1112/plms/pdt038.Homotopy completion and topological Quillen homology of structured ring spectra
Geometry & Topology. 2013. DOI : 10.2140/gt.2013.17.1325.Complete intersections in rational homotopy theory
Journal of Pure and Applied Algebra. 2013. DOI : 10.1016/j.jpaa.2012.08.009.Normal and conormal maps in homotopy theory
Homology, Homotopy and Applications. 2012. DOI : 10.4310/HHA.2012.v14.n1.a5.Multiplicative structure in equivariant cohomology
Journal Of Pure And Applied Algebra. 2012. DOI : 10.1016/j.jpaa.2011.12.012.Long knots and maps between operads
Geometry and Topology. 2012. DOI : 10.2140/gt.2012.16.919.Twisting structures and strongly homotopy morphisms
ArXiv. 2010.A general framework for homotopic descent and codescent
ArXiv. 2010.The loop group and the cobar construction
Proceedings of the American Mathematical Society. 2010. DOI : 10.1090/S0002-9939-09-10238-1.Homotopic Hopf-Galois extensions: foundations and examples
Geometry and Topology Monographs. 2009. DOI : 10.2140/gtm.2009.16.79.CoHochschild homology of chain coalgebras
Journal of Pure and Applied Algebra. 2009. DOI : 10.1016/j.jpaa.2008.08.001.A model structure à la Thomason on 2 - CAT
Journal of Pure and Applied Algebra. 2007. DOI : 10.1016/j.jpaa.2005.12.010.A chain coalgebra model for the James map
Homology, Homotopy and Applications. 2007. DOI : 10.4310/HHA.2007.v9.n2.a9.An algebraic model for the loop space homology of a homotopy fiber
Algebr. Geom. Topol.. 2007. DOI : 10.2140/agt.2007.7.1699.A canonical enriched Adams-Hilton model for simplicial sets
Advances in Mathematics. 2006. DOI : 10.1016/j.aim.2006.01.013.Simulations as homotopies
Electronic Notes in Theoretical Computer Science. 2004. DOI : 10.1016/j.entcs.2004.08.016.Commutative free loop space models at large primes
Mathematische Zeitschrift. 2003. DOI : 10.1007/s00209-003-0206-y.Emergence of the Witt group in the cellular lattice of rational spaces
Transactions of the American Mathematical Society. 2002. DOI : 10.1090/S0002-9947-02-03049-0.Model categories in algebraic topology
Applied Categorical Structures. 2002. DOI : 10.1023/A:1015218106586.An algebraic model for homotopy fibers
Homology, Homotopy and Applications. 2002.Hochschild cohomology is topological
Journal of Pure and Applied Algebra. 2001. DOI : 10.1016/S0022-4049(00)00171-7.How to model the free loop space algebraically
Mathematische Annalen. 1999. DOI : 10.1007/s002080050303.Noncommutative algebraic models for fiber squares
Mathematische Annalen. 1999. DOI : 10.1007/s002080050302.Nice and lazy cell attachments
Journal of Pure and Applied Algebra. 1996. DOI : 10.1016/0022-4049(95)00131-X.Generalizing a definition of Lusternik and Schnirelmann to model categories
Journal of Pure and Applied Algebra. 1994. DOI : 10.1016/0022-4049(94)90140-6.Twisted tensor models for fibrations
Journal of Pure and Applied Algebra. 1994. DOI : 10.1016/0022-4049(94)90136-8.Mild and tame homotopy theory
Journal of Pure and Applied Algebra. 1993. DOI : 10.1016/0022-4049(93)90003-C.A proof of Ganea's conjecture for rational spaces
Topology. 1991. DOI : 10.1016/0040-9383(91)90006-P.Enseignement & Phd
Enseignement
Mathematics
Life Sciences Engineering