Kathryn Hess Bellwald
Full Professor
kathryn.hess@epfl.ch +41 21 693 42 45 http://hessbellwald-lab.epfl.ch
Citizenship : Swiss
Birth date : 21.09.1967
EPFL SV BMI UPHESS
MA B3 454 (Bâtiment MA)
Station 8
CH-1015 Lausanne
+41 21 693 42 45
+41 21 693 79 22
Office: MA B3 454
EPFL > SV > BMI > UPHESS
Web site: Web site: https://hessbellwald-lab.epfl.ch
+41 21 693 42 45
EPFL > E > E-DOC > EDMA-ENS
+41 21 693 42 45
EPFL > SB > MATH > MATH-DIV
+41 21 693 42 45
EPFL > SV > SV-SSV > SSV-ENS
Web site: Web site: https://sv.epfl.ch/education
+41 21 693 42 45
EPFL > SB > SB-SMA > SMA-ENS
Fields of expertise
Homotopy theory, category theory.
Applications of algebraic topology in computer science, neuroscience, cancer research, and chemical engineering.
Applications of algebraic topology in computer science, neuroscience, cancer research, and chemical engineering.
Publications
Infoscience publications
Publications and theses supervised
Topology predicts long-term functional outcome in early psychosis
Molecular Psychiatry. 2020-07-06. DOI : 10.1038/s41380-020-0826-1.A computational biophysical model of thalamic and reticular nucleus microcircuitry: from neurons to emergent network dynamics
Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-7472.Numerical methods for structural anomaly detection using model order reduction and data-driven techniques
Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-7734.New Results in Integer and Lattice Programming
Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-7727.Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields
Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-7524.Twisting structures and morphisms up to strong homotopy
Journal Of Homotopy And Related Structures. 2019-11-08. DOI : 10.1007/s40062-019-00249-w.Topological classification of microglia topological classification of microglia
2019-07-01. 14th European Meeting on Glial Cells in Health and Disease (GLIA), Porto, PORTUGAL, Jul 10-13, 2019. p. E733-E733.Topological classification of retinal microglia during development
2019-07-01. Annual Meeting of the Association-for-Research-in-Vision-and-Ophthalmology (ARVO), Vancouver, CANADA, Apr 28-May 02, 2019.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.Topological Analysis Enables Prediction Of Functional And Social Outcomes In Early Psychosis
2019-04-01. Congress of the Schizophrenia-International-Research-Society (SRIS), Orlando, FL, Apr 10-14, 2019. p. S137-S137. DOI : 10.1093/schbul/sbz022.119.Configuration Spaces Of Products
Transactions 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 analysis
Bioinformatics. 2019-02-07. DOI : 10.1093/bioinformatics/btz052.Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7245.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.Extensive amenability and a Tits alternative for topological full groups
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9407.Large-scale variational inference for Bayesian joint regression modelling of high-dimensional genetic data
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9139.On approximation algorithms and polyhedral relaxations for knapsack problems, and clustered planarity testing
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9277.The Homotopy Theory Of Coalgebras Over Simplicial Comonads
Homology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n1.a11.A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9275.Generating and identifying functional subnetworks within structural networks
US2018197069 . 2018.On some problems related to 2-level polytopes
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-9025.Kazhdan's Property (T) and Property (FH) for measured groupoids
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8755.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.Development of topological tools for the analysis of biological data
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8835.Model-based reinforcement learning and navigation in animals and machines
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8950.Reductive overgroups of distinguished unipotent elements in simple algebraic groups
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8362.Neuronal morphologies: the shapes of thoughts
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8255.Towards a unified understanding of synaptic plasticity
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8186.On some algebraic and extremal problems in discrete geometry
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8115.Algebraic and topological methods in combinatorics
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7855.Using the Green's function to simplify and understand dendrites
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7869.Towards an (∞,2)-category of homotopy coherent monads in an ∞-cosmos
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7748.Representing groups against all odds
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7823.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.Topological Analyses Of Metabolomic Data To Identify Markers Of Early Psychosis And Disease Biotypes
2017. 16th International Congress on Schizophrenia Research (ICOSR), San Diego, CA, MAR 24-28, 2017. p. S211-S212.Towards new invariants for principal bundles
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7610.Hyper-specificity of perceptual learning
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7311.A posteriori error estimation for partial differential equations with random input data
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.Homology of the three flag Hilbert Scheme
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7244.Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7120.Cellular Homotopy Excision
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7127.Simple topological graphs
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6889.Riemannian Optimization for Solving High-Dimensional Problems with Low-Rank Tensor Structure
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6958.Cocycle growth for the Steinberg representation
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6599.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.Progesterone and Overlooked Endocrine Pathways in Breast Cancer Pathogenesis
Endocrinology. 2015. DOI : 10.1210/en.2015-1392.Sur quelques foncteurs de bi-ensembles
Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6753.Restricting representations of classical algebraic groups to maximal subgroups
Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6583.Kan spectra, group spectra and twisting structures
Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6466.Left-induced model structures and diagram categories
2015. WIT: Women in Topology Workshop, Banff, Alberta, Canada, August 18–23, 2013. p. 49-81. DOI : 10.1090/conm/641/12859.Homotopic Hopf-Galois extensions of commutative differential graded algebras
Lausanne, EPFL, 2014. DOI : 10.5075/epfl-thesis-6150.The Boardman-Vogt tensor product of operadic bimodules
Contemporary Mathematics. 2014. DOI : 10.1090/conm/620/12352.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.Homotopic Descent over Monoidal Model Categories
Lausanne, EPFL, 2011. DOI : 10.5075/epfl-thesis-5200.Cobordism, Cohomology Theories and Formal Group Laws
2011Why H Z-algebra Spectra are Differential Graded Algebras?
2010A homotopy-equivalence between Cacti and Configuration Spaces
2010Catégories simpliciales enrichies et K-théorie de Waldhausen
Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4862.Categorical Foundations for K-theory
Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4861.Twisting structures and strongly homotopy morphisms
ArXiv. 2010.A general framework for homotopic descent and codescent
preprint. 2010.The loop group and the cobar construction
Proceedings of the American Mathematical Society. 2010.Les groupes d'homotopie supérieurs et la longue suite exacte d'une fibration
2009Topics in Homological Algebra
2009Complex Topological K-theory
2009Coalgèbres d'Alexander-Whitney
Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4381.Homotopic Hopf-Galois extensions: foundations and examples
Geometry and Topology Monographs. 2009.CoHochschild homology of chain coalgebras
Journal of Pure and Applied Algebra. 2009. DOI : 10.1016/j.jpaa.2008.08.001.Algèbres de Hopf
2008Noeuds et invariants de Vassiliev
2008Théories d'homologie et de cohomologie généralisées
2008The link between the infinite mapping class group of the disk and the braid group on infinitely many strands
Lausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4132.Rational homotopy theory: a brief introduction
2007. University of Chicago, July 26-August 6, 2004. p. 175-202.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.An algebraic model for the loop space homology of a homotopy fiber
Algebr. Geom. Topol.. 2007. DOI : 10.2140/agt.2007.7.1699.Towards a general theory of homotopic Hopf-Galois extensions
2006An alpine anthology of homotopy theory. Proceedings of the 2nd Arolla conference on algebraic topology, Arolla, Switzerland, August 24-29, 2004. (English)
2006An algebraic model for mod 2 topological cyclic homology
String Topology and Cyclic Homology; Birkhäuser, 2006. p. 97-163.String Topology and Cyclic Homology
Birkhäuser.A canonical enriched Adams-Hilton model for simplicial sets
Adv. Math.. 2006.Transformations in distributed computations and applications to set agreement
Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3587.Simulations as homotopies
Electronic Notes in Theoretical Computer Science. 2004. DOI : 10.1016/j.entcs.2004.08.016.Modèles tordus d'espaces de lacets libres et fonctionnels
Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3102.Commutative free loop space models at large primes
Mathematische Zeitschrift. 2003. DOI : 10.1007/s00209-003-0206-y.Using the topological characterization of synchronous models
Electronic Notes in Theoretical Computer Science. 2003. DOI : 10.1016/S1571-0661(04)80834-X.Stabilisation des complexes croisés
Lausanne, EPFL, 2003. DOI : 10.5075/epfl-thesis-2692.Review of "Rational Homotopy Theory" by Félix, Halperin and Thomas
Bulletin of the London Mathematical Society. 2002.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.Teaching & PhD
Teaching
Mathematics
Life Sciences Engineering