Topology and data G Carlsson Bulletin of the American Mathematical Society 46 (2), 255-308, 2009 | 1872 | 2009 |

Computing persistent homology A Zomorodian, G Carlsson Discrete & Computational Geometry 33 (2), 249-274, 2005 | 1397 | 2005 |

Topological methods for the analysis of high dimensional data sets and 3d object recognition. G Singh, F Mémoli, GE Carlsson SPBG 91, 100, 2007 | 518 | 2007 |

On the local behavior of spaces of natural images G Carlsson, T Ishkhanov, V De Silva, A Zomorodian International journal of computer vision 76 (1), 1-12, 2008 | 501 | 2008 |

Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival M Nicolau, AJ Levine, G Carlsson Proceedings of the National Academy of Sciences 108 (17), 7265-7270, 2011 | 453 | 2011 |

Extracting insights from the shape of complex data using topology PY Lum, G Singh, A Lehman, T Ishkanov, M Vejdemo-Johansson, ... Scientific reports 3 (1), 1-8, 2013 | 433 | 2013 |

Topological estimation using witness complexes. V De Silva, GE Carlsson SPBG 4, 157-166, 2004 | 433 | 2004 |

The theory of multidimensional persistence G Carlsson, A Zomorodian Discrete & Computational Geometry 42 (1), 71-93, 2009 | 394 | 2009 |

Persistence barcodes for shapes G Carlsson, A Zomorodian, A Collins, LJ Guibas International Journal of Shape Modeling 11 (02), 149-187, 2005 | 392 | 2005 |

Zigzag persistence G Carlsson, V De Silva Foundations of computational mathematics 10 (4), 367-405, 2010 | 288 | 2010 |

Characterization, stability and convergence of hierarchical clustering methods. GE Carlsson, F Mémoli J. Mach. Learn. Res. 11 (Apr), 1425-1470, 2010 | 260 | 2010 |

Equivariant stable homotopy and Segal's Burnside ring conjecture G Carlsson Annals of Mathematics, 189-224, 1984 | 234 | 1984 |

Topology of viral evolution JM Chan, G Carlsson, R Rabadan Proceedings of the National Academy of Sciences 110 (46), 18566-18571, 2013 | 233 | 2013 |

Zigzag persistent homology and real-valued functions G Carlsson, V De Silva, D Morozov Proceedings of the twenty-fifth annual symposium on Computational geometry …, 2009 | 231 | 2009 |

Topological data analysis for discovery in preclinical spinal cord injury and traumatic brain injury JL Nielson, J Paquette, AW Liu, CF Guandique, CA Tovar, T Inoue, ... Nature communications 6 (1), 1-12, 2015 | 230 | 2015 |

Topological pattern recognition for point cloud data G Carlsson Acta Numerica 23, 289-368, 2014 | 199 | 2014 |

Topological analysis of population activity in visual cortex G Singh, F Memoli, T Ishkhanov, G Sapiro, G Carlsson, DL Ringach Journal of vision 8 (8), 11-11, 2008 | 189 | 2008 |

Controlled algebra and the Novikov conjectures for K-and L-theory G Carlsson, EK Pedersen Topology 34 (3), 731-758, 1995 | 181 | 1995 |

A topological paradigm for hippocampal spatial map formation using persistent homology Y Dabaghian, F Mémoli, L Frank, G Carlsson PLoS Comput Biol 8 (8), e1002581, 2012 | 171 | 2012 |

A barcode shape descriptor for curve point cloud data A Collins, A Zomorodian, G Carlsson, LJ Guibas Computers & Graphics 28 (6), 881-894, 2004 | 148 | 2004 |