2022
A tool for mapping microglial morphology, morphOMICs, reveals brain-region and sex-dependent phenotypes
Nature Neuroscience
2022-09-30
Vol. 25 , num. 10, p. 1379-1393.DOI : 10.1038/s41593-022-01167-6
A Shadow Perspective on Equivariant Hochschild Homologies
International Mathematics Research Notices
2022-09-21
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Intact Drosophila central nervous system cellular quantitation reveals sexual dimorphism
Elife
2022-07-08
Vol. 11 , p. e74968.DOI : 10.7554/eLife.74968
Computational tools for twisted topological Hochschild homology of equivariant spectra
Topology And Its Applications
2022-07-01
Vol. 316 , p. 108102.DOI : 10.1016/j.topol.2022.108102
Computational synthesis of cortical dendritic morphologies
Cell Reports
2022-04-05
Vol. 39 , num. 1, p. 110586.DOI : 10.1016/j.celrep.2022.110586
A Künneth theorem for configuration spaces
Journal of the London Mathematical Society
2022-02
Vol. 105 , num. 1, p. 639-664.DOI : 10.1112/jlms.12536
Reduced representations of complexes, signals, and multifiltrations
Lausanne: EPFL2022
p. 139.DOI : 10.5075/epfl-thesis-9924
A Hopf algebra model for Dwyer’s tame spaces
Lausanne: EPFL2022
p. 123.DOI : 10.5075/epfl-thesis-9066
Collapse-invariant properties of spaces equipped with signals or directions
Lausanne: EPFL2022
p. 158.DOI : 10.5075/epfl-thesis-9158
Hopf algebras and Hopf-Galois extensions in infinity-categories
Lausanne: EPFL2022
p. 124.DOI : 10.5075/epfl-thesis-9067
From Trees to Barcodes and Back Again: A Combinatorial, Probabilistic and Geometric Study of a Topological Inverse Problem
Lausanne: EPFL2022
p. 163.DOI : 10.5075/epfl-thesis-9852
2021
Quasi-categories vs. Segal spaces: Cartesian edition
Journal of Homotopy and Related Structures
2021-08-20
Vol. 16 , p. 563–604.DOI : 10.1007/s40062-021-00288-2
Filter quotients and non-presentable (∞,1)-toposes
Journal of Pure and Applied Algebra
2021-04-14
Vol. 225 , num. 12, p. 106770.DOI : 10.1016/j.jpaa.2021.106770
Realizing doubles: a conjugation zoo
Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics
2021-04-01
Vol. 151 , num. 2, p. 509-524.DOI : 10.1017/prm.2020.24
Conjugation spaces are cohomologically pure
Proceedings Of The London Mathematical Society
2021-02-01
Vol. 123 , num. 3, p. 313-344.DOI : 10.1112/plms.12399
The cotangent complex and Thom spectra
Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg
2021-01-27
Vol. 90 , num. 2, p. 229-252.DOI : 10.1007/s12188-020-00226-8
Algebraic Homotopy Interleaving Distance
Geometric Science Of Information (Gsi 2021)
2021-01-01
5th International Conference on Geometric Science of Information (GSI), Paris, FRANCE, Jul 21-23, 2021.p. 656-664
DOI : 10.1007/978-3-030-80209-7_70
Every Elementary Higher Topos Has A Natural Number Object
Theory And Applications Of Categories
2021-01-01
Vol. 37 , p. 337-377.Homotopical relations between 2-dimensional categories and their infinity-analogues
Lausanne: EPFL2021
p. 222.DOI : 10.5075/epfl-thesis-8678
Synthesis of branching morphologies
Patent number(s) :
- US2022414436 (A1)
- EP4032103 (A1)
- CN114787939 (A)
- KR20220084391 (A)
- WO2021078588 (A1)
2021
giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration
Journal Of Machine Learning Research
2021-01-01
Vol. 22 .Topology predicts long-term functional outcome in early psychosis
Molecular Psychiatry
2021
Vol. 26 , p. 5335–5346.DOI : 10.1038/s41380-020-0826-1
2020
From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives
Algorithms
2020-12-11
Vol. 13 , num. 12, p. 335.DOI : 10.3390/a13120335
An effective proof of the Cartan formula: The even prime
Journal Of Pure And Applied Algebra
2020-12-01
Vol. 224 , num. 12, p. 106444.DOI : 10.1016/j.jpaa.2020.106444
Twisting structures and morphisms up to strong homotopy
Journal Of Homotopy And Related Structures
2020
Vol. 15 , p. 185–222.DOI : 10.1007/s40062-019-00249-w
2019
Characteristic classes as complete obstructions
Journal Of Homotopy And Related Structures
2019-12-01
Vol. 14 , num. 4, p. 813-862.DOI : 10.1007/s40062-019-00232-5
Topological classification of retinal microglia during development
Investigative Ophthalmology & Visual Science
2019-07-01
Annual Meeting of the Association-for-Research-in-Vision-and-Ophthalmology (ARVO), Vancouver, CANADA, Apr 28-May 02, 2019.Unique decomposition of homogeneous languages and application to isothetic regions
Mathematical Structures In Computer Science
2019-05-01
Vol. 29 , num. 5, p. 681-730.DOI : 10.1017/S0960129518000294
Configuration Spaces Of Products
Transactions Of The American Mathematical Society
2019-02-15
Vol. 371 , num. 4, p. 2963-2985.DOI : 10.1090/tran/7617
Injective And Projective Model Structures On Enriched Diagram Categories
Homology Homotopy And Applications
2019-01-01
Vol. 21 , num. 2, p. 279-300.DOI : 10.4310/HHA.2019.v21.n2.a15
The Homotopy Theory Of Coalgebras Over Simplicial Comonads
Homology Homotopy And Applications
2019-01-01
Vol. 21 , num. 1, p. 247-268.DOI : 10.4310/HHA.2019.v21.n1.a11
2018
Generating and identifying functional subnetworks within structural networks
Patent number(s) :
- US11615285 (B2)
- US2018197069 (A1)
2018
Relative Homological Algebra Via Truncations
Documenta Mathematica
2018-01-01
Vol. 23 , p. 895-937.DOI : 10.25537/dm.2018v23.895-937
Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model
Physical Review E
2018
Vol. 97 , num. 3, p. 032313.DOI : 10.1103/PhysRevE.97.032313
Homotopical Morita theory for corings
ISRAEL JOURNAL OF MATHEMATICS
2018
Vol. 227 , num. 1, p. 239-287.DOI : 10.1007/s11856-018-1727-8
Homotopic Hopf-Galois extensions revisited
JOURNAL OF NONCOMMUTATIVE GEOMETRY
2018
Vol. 12 , num. 1, p. 107-155.DOI : 10.4171/JNCG/272
A torus theorem for homotopy nilpotent loop spaces
ARKIV FOR MATEMATIK
2018
Vol. 56 , num. 1, p. 53-71.DOI : 10.4310/ARKIV.2018.v56.n1.a5
A Topological Representation of Branching Neuronal Morphologies
NEUROINFORMATICS
2018
Vol. 16 , num. 1, p. 3-13.DOI : 10.1007/s12021-017-9341-1
2017
Multidimensional Persistence and Noise
Foundations Of Computational Mathematics
2017
Vol. 17 , num. 6, p. 1367-1406.DOI : 10.1007/s10208-016-9323-y
Towards an (∞,2)-category of homotopy coherent monads in an ∞-cosmos
Lausanne: EPFL2017
p. 198.DOI : 10.5075/epfl-thesis-7748
On chirality of toroidal embeddings of polyhedral graphs
Journal Of Knot Theory And Its Ramifications
2017
Vol. 26 , num. 8, p. 1750050.DOI : 10.1142/S021821651750050X
Rational SO(2)- equivariant spectra
Algebraic And Geometric Topology
2017
Vol. 17 , num. 2, p. 983-1020.DOI : 10.2140/agt.2017.17.983
A necessary and sufficient condition for induced model structures
Journal Of Topology
2017
Vol. 10 , num. 2, p. 324-369.DOI : 10.1112/topo.12011
Toda frames, harmonic maps and extended Dynkin diagrams
Differential Geometry And Its Applications
2017
Vol. 52 , p. 142-157.DOI : 10.1016/j.difgeo.2017.03.011
Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function
Frontiers In Computational Neuroscience
2017
Vol. 11 , p. 48.DOI : 10.3389/fncom.2017.00048
Topological Analyses Of Metabolomic Data To Identify Markers Of Early Psychosis And Disease Biotypes
Schizophrenia Bulletin
2017
16th International Congress on Schizophrenia Research (ICOSR), San Diego, CA, MAR 24-28, 2017.p. S211-S212
Localization Genus
Publicacions Matematiques
2017
Vol. 61 , num. 1, p. 259-281.DOI : 10.5565/Publmat_61117_10
A Looping-Delooping Adjunction For Topological Spaces
Homology Homotopy And Applications
2017
Vol. 19 , num. 1, p. 37-57.DOI : 10.4310/HHA.2017.v19.n1.a3
Combinatorial presentation of multidimensional persistent homology
Journal Of Pure And Applied Algebra
2017
Vol. 221 , num. 5, p. 1055-1075.DOI : 10.1016/j.jpaa.2016.09.001
Towards new invariants for principal bundles
Lausanne: EPFL2017
p. 174.DOI : 10.5075/epfl-thesis-7610
2016
Homotopy Excision And Cellularity
Annales De L Institut Fourier
2016
Vol. 66 , num. 6, p. 2641-2665.DOI : 10.5802/aif.3074
Principal component component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
Physica D-Nonlinear Phenomena
2016
Vol. 334 , p. 99-117.DOI : 10.1016/j.physd.2016.03.007
Cellular Homotopy Excision
Lausanne: EPFL2016
p. 288.DOI : 10.5075/epfl-thesis-7127
Waldhausen K-theory of spaces via comodules
Advances in Mathematics
2016
Vol. 290 , p. 1079-1137.DOI : 10.1016/j.aim.2015.12.019
The Hochschild complex of a twisting cochain
Journal of Algebra
2016
Vol. 451 , p. 302-356.DOI : 10.1016/j.jalgebra.2015.11.040
2015
Exponentiable Approach Spaces
Houston Journal Of Mathematics
2015
Vol. 41 , num. 3, p. 1051-1062.Cellular properties of nilpotent spaces
Geometry & Topology
2015
Vol. 19 , num. 5, p. 2741-2766.DOI : 10.2140/gt.2015.19.2741
Progesterone and Overlooked Endocrine Pathways in Breast Cancer Pathogenesis
Endocrinology
2015
Vol. 156 , num. 10, p. 3442-50.DOI : 10.1210/en.2015-1392
Exponential Kleisli Monoids as Eilenberg-Moore Algebras
Applied Categorical Structures
2015
Vol. 23 , num. 2, p. 137-157.DOI : 10.1007/s10485-013-9328-5
Conditionally flat functors on spaces and groups
Collectanea Mathematica
2015
Vol. 66 , num. 1, p. 149-160.DOI : 10.1007/s13348-013-0102-7
Goodwillie calculus and Whitehead products
Forum Mathematicum
2015
Vol. 27 , num. 1, p. 119-130.DOI : 10.1515/forum-2012-0038
Kan spectra, group spectra and twisting structures
Lausanne: EPFL2015
DOI : 10.5075/epfl-thesis-6466
Left-induced model structures and diagram categories
Women In Topology: Collaborations In Homotopy Theory
2015
WIT: Women in Topology Workshop, Banff, Alberta, Canada, August 18–23, 2013.p. 49-81
DOI : 10.1090/conm/641/12859
2014
Nilpotent -local finite groups
Arkiv For Matematik
2014
Vol. 52 , num. 2, p. 203-225.DOI : 10.1007/s11512-013-0181-4
Homotopic Hopf-Galois extensions of commutative differential graded algebras
Lausanne: EPFL2014
DOI : 10.5075/epfl-thesis-6150
The Boardman-Vogt tensor product of operadic bimodules
Algebraic Topology: Applications and New Directions; 2014. p. 71-98.ISBN : 978-0-8218-9474-3
The homotopy theory of coalgebras over a comonad
Proceedings of the London Mathematical Society
2014
Vol. 108 , num. 2, p. 484-516.DOI : 10.1112/plms/pdt038
2013
Tensors, Monads And Actions
Theory And Applications Of Categories
2013
Vol. 28 , p. 403-433.Topological Complexity Of H-Spaces
Proceedings Of The American Mathematical Society
2013
Vol. 141 , num. 5, p. 1827-1838.DOI : 10.1090/S0002-9939-2012-11454-6
Conjugation spaces and equivariant Chern classes
Bulletin Of The Belgian Mathematical Society-Simon Stevin
2013
Vol. 20 , num. 1, p. 77-90.DOI : 10.36045/bbms/1366306715
The Chu Construction For Complete Atomistic Coatomistic Lattices
Houston Journal Of Mathematics
2013
Vol. 39 , num. 1, p. 21-49.Homotopy completion and topological Quillen homology of structured ring spectra
Geometry & Topology
2013
Vol. 17 , num. 3, p. 1325-1416.DOI : 10.2140/gt.2013.17.1325
Brace Bar-Cobar Duality
Documenta Mathematica : Journal der deutschen Mathematiker-Vereinigung
2013
Spaces With Noetherian Cohomology
Proceedings Of The Edinburgh Mathematical Society
2013
Vol. 56 , p. 13-25.DOI : 10.1017/S0013091512000193
Parametrized K-theory
Journal of K-theory
2013
Complete intersections in rational homotopy theory
Journal of Pure and Applied Algebra
2013
Vol. 217 , p. 636-663.DOI : 10.1016/j.jpaa.2012.08.009
2012
Normal and conormal maps in homotopy theory
Homology, Homotopy and Applications
2012
Vol. 14 , num. 1, p. 79-112.DOI : 10.4310/HHA.2012.v14.n1.a5
Multiplicative structure in equivariant cohomology
Journal Of Pure And Applied Algebra
2012
Vol. 216 , p. 1680-1699.DOI : 10.1016/j.jpaa.2011.12.012
Long knots and maps between operads
Geometry and Topology
2012
Vol. 16 , p. 919-955.DOI : 10.2140/gt.2012.16.919
2011
Noetherian loop spaces
Journal of the European Mathematical Society
2011
Vol. 13 , p. 1225-1244.DOI : 10.4171/JEMS/279
A counter-example to a conjecture of Felix
Journal Of Pure And Applied Algebra
2011
Vol. 215 , p. 1398-1404.DOI : 10.1016/j.jpaa.2010.09.001
Homotopic Descent over Monoidal Model Categories
Lausanne: EPFL2011
p. 110.DOI : 10.5075/epfl-thesis-5200
2010
Order-adjoint monads and injective objects
Journal Of Pure And Applied Algebra
2010
Vol. 214 , p. 778-796.DOI : 10.1016/j.jpaa.2009.08.005
Bar constructions and Quillen homology of modules over operads
Algebraic And Geometric Topology
2010
Vol. 10 , p. 87-136.DOI : 10.2140/agt.2010.10.87
Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories
Journal Of Pure And Applied Algebra
2010
Vol. 214 , p. 1407-1434.DOI : 10.1016/j.jpaa.2009.11.006
Catégories simpliciales enrichies et K-théorie de Waldhausen
Lausanne: EPFL2010
p. 109.DOI : 10.5075/epfl-thesis-4862
Categorical Foundations for K-theory
Lausanne: EPFL2010
p. 184.DOI : 10.5075/epfl-thesis-4861
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
Vol. 138 , num. 5, p. 1861-1876.DOI : 10.1090/S0002-9939-09-10238-1
2009
Homotopy theory of modules over operads in symmetric spectra
Algebraic And Geometric Topology
2009
Vol. 9 , num. 3, p. 1637-1680.DOI : 10.2140/agt.2009.9.1637
Coalgèbres d’Alexander-Whitney
Lausanne: EPFL2009
p. 148.DOI : 10.5075/epfl-thesis-4381
Homotopic Hopf-Galois extensions: foundations and examples
Geometry and Topology Monographs
2009
Vol. 16 , p. 79-132.DOI : 10.2140/gtm.2009.16.79
CoHochschild homology of chain coalgebras
Journal of Pure and Applied Algebra
2009
Vol. 213 , num. 4, p. 536-556.DOI : 10.1016/j.jpaa.2008.08.001
2008
The link between the infinite mapping class group of the disk and the braid group on infinitely many strands
Lausanne: EPFL2008
p. 119.DOI : 10.5075/epfl-thesis-4132
2007
Rational homotopy theory: a brief introduction
Interactions between homotopy theory and algebra / Summer School on Interactions between Homotopy Theory and Algebra, University of Chicago, July 26-August 6, 2004, Chicago, Illinois
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
Vol. 208 , p. 205-236.DOI : 10.1016/j.jpaa.2005.12.010
A chain coalgebra model for the James map
Homology, Homotopy and Applications
2007
Vol. 9 , num. 2, p. 209-231.DOI : 10.4310/HHA.2007.v9.n2.a9
An algebraic model for the loop space homology of a homotopy fiber
Algebr. Geom. Topol.
2007
Vol. 7 , p. 1699-1765.DOI : 10.2140/agt.2007.7.1699
2006
Towards a general theory of homotopic Hopf-Galois extensions
2006
Advisor(s): K. Hess Bellwald