Kathryn Hess Bellwald
Professeure ordinaire
kathryn.hess@epfl.ch +41 21 693 42 45 http://hessbellwald-lab.epfl.ch
Nationalité : Swiss
Date de naissance : 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
Site web: https://hessbellwald-lab.epfl.ch
Unité: UPHESS
Local: MA B3 454
+41 21 693 79 22
Site web: https://hessbellwald-lab.epfl.ch
Unité: UPHESS
Local: MA B3 454
Unité: EDMA-ENS
Unité: MATH-DIV
Unité: SMA-ENS
Compétences
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 and theses supervised
Les données en-ligne ne sont pas accessiblesA. Doerig; A. Schurger; K. Hess; M. H. Herzog : 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.
L. Kanari; S. Ramaswamy; Y. Shi; S. Morand; J. Meystre et al. : Objective Morphological Classification of Neocortical Pyramidal Cells; Cerebral Cortex. 2019-04-01. DOI : 10.1093/cercor/bhy339.
K. Hess; M. Fournier; M. Scolamiero; M. Gholam-Rezaee; R. Jenni et al. : 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.
W. Dwyer; K. Hess; B. Knudsen : Configuration Spaces Of Products; Transactions Of The American Mathematical Society. 2019-02-15. DOI : 10.1090/tran/7617.
R. Jeitziner; M. Carrière; J. Rougemont; S. Oudot; K. Hess et al. : Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis; Bioinformatics. 2019-02-07. DOI : 10.1093/bioinformatics/btz052.
G. Graf / J. Krieger (Dir.) : Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7245.
J.-B. Bardin; G. Spreemann; K. Hess : Topological exploration of artificial neuronal network dynamics; Network Neuroscience. 2019-01-01. DOI : 10.1162/netn_a_00080.
L. Moser : Injective And Projective Model Structures On Enriched Diagram Categories; Homology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n2.a15.
N. G. Szoke / N. Monod (Dir.) : Extensive amenability and a Tits alternative for topological full groups. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9407.
H. Ruffieux / A. C. Davison; J. Hager (Dir.) : Large-scale variational inference for Bayesian joint regression modelling of high-dimensional genetic data. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9139.
I. Malinovic / F. Eisenbrand; Y. Faenza (Dir.) : On approximation algorithms and polyhedral relaxations for knapsack problems, and clustered planarity testing. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9277.
K. Hess; M. Kedziorek : The Homotopy Theory Of Coalgebras Over Simplicial Comonads; Homology Homotopy And Applications. 2019-01-01. DOI : 10.4310/HHA.2019.v21.n1.a11.
A. G. Marcone / M. Troyanov (Dir.) : A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9275.
M. F. Aprile / F. Eisenbrand; Y. Faenza (Dir.) : On some problems related to 2-level polytopes. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-9025.
C. M. Gippa / N. Monod (Dir.) : Kazhdan's Property (T) and Property (FH) for measured groupoids. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8755.
Y. Lee; S. D. Barthel; P. Dłotko; S. M. Moosavi; K. Hess et al. : 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.
R. Jeitziner / C. Brisken; K. Hess Bellwald (Dir.) : Development of topological tools for the analysis of biological data. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8835.
D. S. Corneil / W. Gerstner (Dir.) : Model-based reinforcement learning and navigation in animals and machines. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8950.
M. T. Korhonen / D. Testerman (Dir.) : Reductive overgroups of distinguished unipotent elements in simple algebraic groups. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8362.
L. Kanari / H. Markram; J. C. Shillcock (Dir.) : Neuronal morphologies: the shapes of thoughts. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8255.
G. Chindemi / H. Markram; E. B. Muller (Dir.) : Towards a unified understanding of synaptic plasticity. Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8186.
S. H. Nassajianmojarrad / J. Pach (Dir.) : On some algebraic and extremal problems in discrete geometry. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8115.
A. C. Vâlculescu / J. Pach (Dir.) : Algebraic and topological methods in combinatorics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7855.
W. A. M. Wybo / H. Markram; M.-O. Gewaltig (Dir.) : Using the Green's function to simplify and understand dendrites. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7869.
D. Zaganidis / K. Hess Bellwald (Dir.) : Towards an (∞,2)-category of homotopy coherent monads in an ∞-cosmos. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7748.
M. Gheysens / N. Monod (Dir.) : Representing groups against all odds. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7823.
Y. Lee; S. D. Barthel; P. Dlotko; S. M. Moosavi; K. Hess et al. : Quantifying similarity of pore-geometry in nanoporous materials; Nature Communications. 2017. DOI : 10.1038/ncomms15396.
K. Hess; M. Kedziorek; E. Riehl; B. Shipley : A necessary and sufficient condition for induced model structures; Journal Of Topology. 2017. DOI : 10.1112/topo.12011.
M. W. Reimann; M. Nolte; M. Scolamiero; K. Turner; R. Perin et al. : 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.
M. Fournier; M. Scolamiero; M. Gholam-Rezaee; H. Moser; C. Ferrari et al. : 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.
M. Rovelli / K. Hess Bellwald (Dir.) : Towards new invariants for principal bundles. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7610.
L. Grzeczkowski / M. Herzog; F. Mast (Dir.) : Hyper-specificity of perceptual learning. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7311.
D. S. Guignard / F. Nobile; M. Picasso (Dir.) : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
D. Boccalini / T. Hausel (Dir.) : Homology of the three flag Hilbert Scheme. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7244.
R. Grandi / T. Hausel (Dir.) : Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7120.
K. R. Werndli / K. Hess Bellwald; J. Scherer (Dir.) : Cellular Homotopy Excision. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7127.
A. J. Ruiz Vargas / J. Pach (Dir.) : Simple topological graphs. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6889.
M. M. Steinlechner / D. Kressner (Dir.) : Riemannian Optimization for Solving High-Dimensional Problems with Low-Rank Tensor Structure. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6958.
T. Dumont / N. Monod (Dir.) : Cocycle growth for the Steinberg representation. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6599.
K. Hess; B. Shipley : Waldhausen K-theory of spaces via comodules; Advances in Mathematics. 2016. DOI : 10.1016/j.aim.2015.12.019.
K. Hess : The Hochschild complex of a twisting cochain; Journal of Algebra. 2016. DOI : 10.1016/j.jalgebra.2015.11.040.
M. Bayeh; K. Hess; V. Karpova; M. Kedziorek; E. Riehl et al. : Left-Induced Model Structures and Diagram Categories. 2015. WIT: Women in Topology Workshop, Banff Int Res Stn, Banff, CANADA, AUG 18-23, 2013. p. 49-81. DOI : 10.1090/conm/641/12859.
C. Brisken; K. Hess Bellwald; R. Jeitziner : Progesterone and Overlooked Endocrine Pathways in Breast Cancer Pathogenesis; Endocrinology. 2015. DOI : 10.1210/en.2015-1392.
R. F. Chevalley / J. Thévenaz (Dir.) : Sur quelques foncteurs de bi-ensembles. Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6753.
M. Cavallin / D. Testerman (Dir.) : Restricting representations of classical algebraic groups to maximal subgroups. Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6583.
M. Stephan / K. Hess Bellwald (Dir.) : Kan spectra, group spectra and twisting structures. Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6466.
M. Bayeh; K. Hess; V. Karpova; M. Kedziorek; E. Riehl et al. : Left-induced model structures and diagram categories; Contemporary Mathematics. 2015. DOI : 10.1090/conm/641/12859.
V. Karpova / K. Hess Bellwald (Dir.) : Homotopic Hopf-Galois extensions of commutative differential graded algebras. Lausanne, EPFL, 2014. DOI : 10.5075/epfl-thesis-6150.
W. Dwyer; K. Hess : The Boardman-Vogt tensor product of operadic bimodules; Contemporary Mathematics. 2014. DOI : 10.1090/conm/620/12352.
K. Hess; B. Shipley : The homotopy theory of coalgebras over a comonad; Proceedings of the London Mathematical Society. 2014. DOI : 10.1112/plms/pdt038.
J. E. Harper; K. Hess : Homotopy completion and topological Quillen homology of structured ring spectra; Geometry & Topology. 2013. DOI : 10.2140/gt.2013.17.1325.
E. D. Farjoun; K. Hess : Normal and conormal maps in homotopy theory; Homology, Homotopy and Applications. 2012. DOI : 10.4310/HHA.2012.v14.n1.a5.
K. Hess : Multiplicative structure in equivariant cohomology; Journal Of Pure And Applied Algebra. 2012. DOI : 10.1016/j.jpaa.2011.12.012.
W. Dwyer; K. Hess : Long knots and maps between operads; Geometry and Topology. 2012. DOI : 10.2140/gt.2012.16.919.
P. Müller / K. Hess-Bellwald (Dir.) : Homotopic Descent over Monoidal Model Categories. Lausanne, EPFL, 2011. DOI : 10.5075/epfl-thesis-5200.
L. Kiwi : Cobordism, Cohomology Theories and Formal Group Laws ; 2011.
V. Karpova : Why H Z-algebra Spectra are Differential Graded Algebras? ; 2010.
P. Egger : A homotopy-equivalence between Cacti and Configuration Spaces ; 2010.
I. Amrani / K. Hess-Bellwald (Dir.) : Catégories simpliciales enrichies et K-théorie de Waldhausen. Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4862.
N. Michel / K. Hess-Bellwald (Dir.) : Categorical Foundations for K-theory. Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4861.
K. Hess; J. Scott : Twisting structures and strongly homotopy morphisms; ArXiv. 2010.
K. Hess : A general framework for homotopic descent and codescent; preprint. 2010.
K. Hess; A. Tonks : The loop group and the cobar construction; Proceedings of the American Mathematical Society. 2010.
L. Antonioli : Les groupes d'homotopie supérieurs et la longue suite exacte d'une fibration ; 2009.
L. Kiwi : Topics in Homological Algebra ; 2009.
V. Karpova : Complex Topological K-theory ; 2009.
T. Naïto / K. Hess-Bellwald (Dir.) : Coalgèbres d'Alexander-Whitney. Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4381.
K. Hess : Homotopic Hopf-Galois extensions: foundations and examples; Geometry and Topology Monographs. 2009.
K. Hess; P.-E. Parent; J. A. Scott : CoHochschild homology of chain coalgebras; Journal of Pure and Applied Algebra. 2009. DOI : 10.1016/j.jpaa.2008.08.001.
L. Kiwi : Algèbres de Hopf ; 2008.
F. Mayencourt : Noeuds et invariants de Vassiliev ; 2008.
V. Karpova : Théories d'homologie et de cohomologie généralisées ; 2008.
Enseignement & Phd
Enseignement
- Mathematics,
- Life Sciences Engineering
Programmes doctoraux
- Doctoral Program in Mathematics
- Doctoral Program in Neuroscience
- Doctoral Program in Computational and Quantitative Biology
Doctorants
Ebli StefaniaErgus Aras
Garin Adélie Eliane
Hacker Celia Camille
Moser Lyne
Wu Haoqing
A dirigé les thèses de
Amrani Ilias ...Blanc Sylvestre ...
Brunner Jan ...
Karpova Varvara ...
Marcone Rachel ...
Michel Nicolas ...
Müller Patrick ...
Naïto Théophile ...
Oberson Chantal ...
Rovelli Martina ...
Sauvageot Orin ...
Simoncini Fabio ...
Stephan Marc ...
Werndli Kay Remo ...
Zaganidis Dimitri ...
Cours
Algèbre linéaire
L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire et ses applications. 
Théorie des groupes
Le but de ce cours est d'approfondir et d'étudier les notions de base de l'algèbre, en particulier la notion de groupe.
Algebraic K-theory
La K-théorie algébrique, qui à un anneau quelconque associe une suite de groupes, peut être vue comme une généralisation de l'algèbre linéaire. Nous étudierons les deux premiers groupes de K-théorie et en verrons quelques applications.
Working group in Topology I
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
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.