Ran Levi

Research output

Research output per year 1999 2002 2003 2004 2005 2007 2008 2012 2014 2016 2017 2020 2021 2022 2022

• 30 Article
• 3 Working paper
• 1 Book
• 1 Published conference contribution
• 2 More
  • 1 Special issue
  • 1 Editorial

Research output per year

Research output per year

Search results

• 2022

  Polyhedral products over finite posets

  Kishimoto, D. & Levi, R., 1 Sept 2022, In: Kyoto Journal of Mathematics. 62, 3, p. 615-654 40 p.

  Research output: Contribution to journal › Article › peer-review

  • Poset 100%
  • Cohomology 32%
  • Simplicial Complex 20%
  • Tensor Product 17%
  • Homotopy 16%
  2 Citations (Scopus)

• An application of neighbourhoods in digraphs to the classification of binary dynamics

  Rodrigues Da Conceicao, P. V., Govc, D., Lazovskis, J., Levi, R., Riihimaki, H. & Smith, J. P., 1 Jun 2022, In: Network Neuroscience. 6, 2, p. 528-551 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Digraph 100%
  • Binary 80%
  • Machine Learning 40%
  • Neurosciences 38%
  • Rats 31%
  1 Citation (Scopus)

  7 Downloads (Pure)

• Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

  Reimann, M. W., Riihimaki, H., Smith, J., Lazovskis, J., Pokorny, C. & Levi, R., 12 Jan 2022, In: PloS ONE. 17, 1, e0261702.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Neurons 100%
  • Intention 37%
  • Noise 37%
  • Aptitude 27%
  • Brain 19%
  2 Citations (Scopus)

  5 Downloads (Pure)
• 2021

  Complexes of Tournaments, Directionality Filtrations and Persistent Homology

  Govc, D., Levi, R. & Smith, J. P., 1 Jun 2021, In: Journal of applied and computational topology. 5, p. 313-337 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Rats 100%
  • Tournament 92%
  • Filtration 81%
  • Digraph 78%
  • Homology 75%
  4 Citations (Scopus)

  3 Downloads (Pure)

• Loop space homology of a small category

  Broto, C., Levi, R. & Oliver, B., 2021, In: Annals of K-Theory. 6, 3, p. 425-480 56 p.

  Research output: Contribution to journal › Article › peer-review

  • Loop Space 100%
  • Homology 72%
  • Finite Group 41%
  • Chain 41%
  • Nerve 33%
  1 Citation (Scopus)
• 2020

  Loop space homology of a small category

  Broto, C., Levi, R. & Oliver, B., 28 Nov 2020, (E-pub ahead of print) ArXiv, p. 1-44, 44 p.

  Research output: Working paper

  • Loop Space 100%
  • Wedge 87%
  • Homology 72%
  • Finite Group 24%
  • Chain 24%
  1 Citation (Scopus)

• Characterisation of polyhedral products with finite generalised Postnikov decomposition

  Iriye, K., Kishimoto, D. & Levi, R., 1 Sept 2020, In: Forum Mathematicum. 32, 5, p. 1253–1269 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Towers 100%
  • Homotopy 95%
  • Inverse Limit Space 81%
  • Decomposition 77%
  • Decompose 69%
  1 Citation (Scopus)

• Computing Persistent Homology of Directed Flag Complexes

  Luetgehetmann, D., Govc, D., Smith, J. & Levi, R., 7 Jan 2020, In: Algorithms. 13, 1, 19.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Homology 100%
  • Computing 69%
  • Brain 49%
  • Many-core 40%
  • Performance Analysis 28%
  15 Citations (Scopus)

  4 Downloads (Pure)

• On the topology of complexes of injective words

  Chacholski, W., Levi, R. & Meshulam, R., 2020, In: Journal of applied and computational topology. 4, p. 29-44 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Injective 100%
  • Topology 76%
  • Permutation 43%
  • Decomposition 39%
  • Homotopy Type 30%
  1 Citation (Scopus)
• 2018

  A Topological Representation of Branching Neuronal Morphologies

  Kanari, L., Dlotko, P., Scolamiero, M., Levi, R., Shillcock, J. C., Hess, K. & Markram, H., Jan 2018, In: Neuroinformatics. 16, 1, p. 3-13 11 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Benchmarking 100%
  • Biological systems 85%
  • Anatomy 75%
  • Topology 49%
  98 Citations (Scopus)

  20 Downloads (Pure)
• 2017

  Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

  Reimann, M. W., Nolte, M., Scolamiero, M., Turner, K., Perin, R., Chindemi, G., Dlotko, P., Levi, R., Hess, K. & Markram, H., 12 Jun 2017, In: Frontiers in Computational Neuroscience. 11, 16 p., 48.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Neurons 100%
  • Direction compound 78%
  • Neocortex 60%
  • Brain 53%
  • Synaptic Transmission 50%
  238 Citations (Scopus)

  15 Downloads (Pure)

• Groups of unstable Adams operations on p-local compact groups

  Levi, R. & Libman, A., 26 Jan 2017, In: Algebraic & Geometric Topology. 17, 1, p. 355-418 64 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Adams Operations 100%
  • Compact Group 66%
  • Unstable 52%
  • Classifying Space 30%
  • Compact Lie Group 27%
  15 Downloads (Pure)
• 2016

  Automorphisms of p-local compact groups

  Gonzalez, A. & Levi, R., 1 Dec 2016, In: Journal of Algebra. 467, p. 202-236 35 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Classifying Space 100%
  • Compact Group 87%
  • Automorphism 65%
  • Outer Automorphism Groups 58%
  • Amalgam 56%
  1 Citation (Scopus)

  50 Downloads (Pure)

• Quantifying topological invariants of neuronal morphologies

  Kanari, L., Dłotko, P., Scolamiero, M., Levi, R., Shillcock, J., Hess, K. & Markram, H., 28 Mar 2016, (Submitted) ArXiv, p. 1-15, 15 p.

  Research output: Working paper

  • Carisoprodol 100%
  • Nervous System 74%
  • Anatomy 74%
  • Costs and Cost Analysis 56%
  • Neurons 56%

• Topological analysis of the connectome of digital reconstructions of neural microcircuits

  Dlotko, P., Hess, K., Levi, R., Nolte, M., Muller, E., Reimann, M., Scolamiero, M., Turner, K. & Markram, H., 7 Jan 2016, (Submitted) ArXiv, p. 1-28, 28 p.

  Research output: Working paper

  • Neurons 100%
  • Directed graphs 63%
  • Topology 18%
• 2015

  Existence and uniqueness of classifying spaces for fusion systems over discrete p-toral groups

  Levi, R. & Libman, A., Feb 2015, In: Journal of the London Mathematical Society. 91, 1, p. 47-70 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Classifying Space 100%
  • Fusion 89%
  • Existence and Uniqueness 60%
  • Obstruction Theory 39%
  • Locality 33%
  12 Citations (Scopus)

  19 Downloads (Pure)
• 2014

  An Algebraic Model for Finite Loop Spaces

  Broto, C., Levi, R. & Oliver, B., 5 Nov 2014, In: Algebraic & Geometric Topology. 14, 5, p. 2915-2982 67 p.

  Research output: Contribution to journal › Article › peer-review

  • Loop Space 100%
  • Compact Group 85%
  • Classifying Space 65%
  • Fusion 29%
  • Linking 29%
  11 Citations (Scopus)

• The rational cohomology of a p-local compact group

  Broto, C., Levi, R. & Oliver, B., 2014, In: Proceedings of the American Mathematical Society. 142, 3, p. 1035-1043 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Lie groups 100%
  • Compact Group 71%
  • Cohomology 57%
  • Classifying Space 49%
  • Weyl Group 45%
  3 Citations (Scopus)
• 2012

  Loop space homology associated with the mod 2 Dickson invariants

  Levi, R. & Seeliger, N., Nov 2012, In: Forum Mathematicum. 24, 6, p. 1161–1182 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Loop Space 100%
  • Classifying Space 97%
  • Algebra 84%
  • Homology 72%
  • Finite Group 62%
  13 Downloads (Pure)

• Unstable Adams operations on p-local compact groups

  Junod, F., Levi, R. & Libman, A., 24 Jan 2012, In: Algebraic & Geometric Topology. 12, 1, p. 49-74 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Adams Operations 100%
  • Compact Group 66%
  • Unstable 52%
  • P-compact Group 26%
  • Algebraic object 22%
  9 Citations (Scopus)
• 2011

  p-local finite group cohomology

  Levi, R. & Ragnarsson, K., 2011, In: Homology, Homotopy and Applications. 13, 1, p. 223-257 35 p.

  Research output: Contribution to journal › Article › peer-review

  • Group Cohomology 100%
  • Cohomology 59%
  • Finite Group 54%
  • Deduce 29%
  • Restriction 24%
• 2008

  Groups, homotopy and configuration spaces: Proceedings of the conference in honor of the 60th birthday of Fred Cohen held at the University of Tokyo, Tokyo, July 5–11, 2005.

  Levi, R. (ed.), Iwase, N. (ed.), Kono, T. (ed.), Tamaki, D. (ed.) & Wu, J. (ed.), 2008, Geometry & Topology Monographs, 13 456 p.

  Research output: Contribution to specialist publication › Editorial

• The work of Fred Cohen: Groups, homotopy and configuration spaces

  Levi, R., 2008, In: Geometry & Topology Monographs. 13, p. 529–546 18 p.

  Research output: Contribution to journal › Special issue › peer-review

  • Homotopy 100%
  • Tokyo 70%
• 2007

  Homology decompositions for p-compact groups

  Castellana, N., Levi, R. & Notbohm, D., 20 Dec 2007, In: Advances in Mathematics. 216, 2, p. 491-534 44 p.

  Research output: Contribution to journal › Article › peer-review

  • P-compact Group 100%
  • Homology 54%
  • Subgroup 40%
  • Decompose 39%
  • Classifying Space 24%
  8 Citations (Scopus)

• Extensions of p-local finite groups

  Broto, C., Castellana, N., Grodal, J., Levi, R. & Oliver, B., Aug 2007, In: Transactions of the American Mathematical Society. 359, 8, p. 3791–3858 68 p.

  Research output: Contribution to journal › Article › peer-review

  • Fusion reactions 100%
  • Finite Group 95%
  • Classifying Space 59%
  • Subgroup 33%
  • Finite P-group 29%
  65 Citations (Scopus)

• Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups

  Broto, C., Levi, R. & Oliver, B., 2007, In: Geometry & Topology. 11, p. 315-427 113 p.

  Research output: Contribution to journal › Article › peer-review

  • P-compact Group 100%
  • Classifying Space 72%
  • Homotopy Theory 70%
  • Compact Lie Group 66%
  • Discrete Model 64%
  35 Citations (Scopus)
• 2006

  A geometric construction of saturated fusion systems

  Levi, R., Broto, C. & Oliver, B., 2006, In: Contemporary Mathematics. 399, p. 11-40 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Fusion 100%
  • Subgroup 30%
  • Finite P-group 27%
  • Conjugacy 25%
  • Axiom 20%
• 2005

  Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson; [Geom. Topol. 6 (2002), 917-990 (electronic)]

  Levi, R. & Oliver, B., 2005, In: Geometry & Topology. 9, p. 2395-2415 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Electronics 100%
  • Finite Group 73%
  • Classifying Space 69%
  • Fusion 41%
  • Algebraic Structure 18%
  7 Citations (Scopus)

• Subgroup families controlling p-local finite groups

  Levi, R., Broto, C., Castellana, N., Grodal, J. & Oliver, B., 2005, In: Proceedings of the London Mathematical Society. 91, 2, p. 325-354 29 p.

  Research output: Contribution to journal › Article › peer-review
  86 Citations (Scopus)
• 2004

  The theory of p-local groups: a survey

  Broto, C., Levi, R. & Oliver, B., 20 May 2004, Homotopy Theory : Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory. Goerss, P. & Priddy, S. (eds.). Providence, RI, USA: American Mathematical Society, p. 51-84 34 p. (Contemporary Mathematics; vol. 346).

  Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

• Categorical decomposition techniques in algebraic topology. Proceedings of the International Conference on Algebraic Topology, Isle of Skye, 2001

  Arone, G., Hubbuck, J. R., Levi, R. & Weiss, M., 2004, Progress in Mathematics 215, Birkhauser Verlag, Basel: Unknown Publisher. 302 p.

  Research output: Book/Report › Book
• 2003

  The Homotopy Theory of Fusion Systems

  Broto, C., Levi, R. & Oliver, B., Jul 2003, In: Journal of the American Mathematical Society. 16, 4, p. 779-856 77 p.

  Research output: Contribution to journal › Article › peer-review
  204 Citations (Scopus)

• Homotopy Equivalences of p-Completed Classifying Spaces of Finite Groups

  Broto, C., Levi, R. & Oliver, B., Mar 2003, In: Inventiones Mathematicae. 151, p. 611-664 53 p.

  Research output: Contribution to journal › Article › peer-review

  • Homotopy Equivalence 100%
  • Classifying Space 95%
  • Cap 95%
  • Finite Group 61%
  • Equivalence 36%
  55 Citations (Scopus)
• 2002

  On Spaces of Self-Homotopy Equivalences of p-Completed Classifying Spaces of Finite Groups and Homotopy Group Extension

  Broto, C. & Levi, R., Mar 2002, In: Topology. 41, 2, p. 229-255 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Group Extension 100%
  • Homotopy Equivalence 99%
  • Classifying Space 95%
  • Homotopy Groups 92%
  • Finite Group 60%
  10 Citations (Scopus)

• Construction of 2-Local Finite Groups of a Type studied by Solomon and Benson

  Levi, R. & Oliver, B., 2002, In: Geometry & Topology. 6, p. 917-990 73 p.

  Research output: Contribution to journal › Article › peer-review
  47 Citations (Scopus)
• 2001

  On certain homotopy actions of general linear groups on iterated products

  Levi, R. & Priddy, S., 2001, In: Annales de l'Institut Fourier. 51, 6, p. 1719-1739 20 p.

  Research output: Contribution to journal › Article › peer-review

  • General Linear Group 100%
  • Homotopy 76%
  • H-space 57%
  • Symmetric group 20%
  • Idempotent 20%
• 1999

  On p-completed classifying spaces of discrete groups and finite complexes

  Levi, R., 1999, In: Journal of the London Mathematical Society. 59, 3, p. 1064-1080 17 p.

  Research output: Contribution to journal › Article

  • Classifying Space 100%
  • Discrete Group 89%
  • Cohomological Dimension 72%
  • Loop Space 68%
  • Dimension Group 41%
  4 Citations (Scopus)