The K-Theoretic Bulk–Edge Correspondence for Topological Insulators C Bourne, J Kellendonk, A Rennie Annales Henri Poincaré 18 (5), 1833-1866, 2017 | 74 | 2017 |

Non-commutative Chern numbers for generic aperiodic discrete systems C Bourne, E Prodan Journal of Physics A: Mathematical and Theoretical 51 (23), 235202, 2018 | 65 | 2018 |

A non-commutative framework for topological insulators C Bourne, AL Carey, A Rennie Reviews in Mathematical Physics 28 (02), 1650004, 2016 | 60 | 2016 |

Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases C Bourne, A Rennie Mathematical Physics, Analysis and Geometry 21 (3), 16, 2018 | 40 | 2018 |

The bulk-edge correspondence for the quantum Hall effect in Kasparov theory C Bourne, AL Carey, A Rennie Letters in Mathematical Physics 105 (9), 1253-1273, 2015 | 35 | 2015 |

The classification of symmetry protected topological phases of one-dimensional fermion systems C Bourne, Y Ogata Forum of Mathematics, Sigma 9, 2021 | 27 | 2021 |

Index theory and topological phases of aperiodic lattices C Bourne, B Mesland Annales Henri Poincaré 20 (6), 1969-2038, 2019 | 18 | 2019 |

On ℤ 2-indices for ground states of fermionic chains C Bourne, H Schulz-Baldes Reviews in Mathematical Physics 32 (9), 2050028, 2020 | 12 | 2020 |

Topological states of matter and noncommutative geometry C Bourne The Australian National University, 2015 | 10 | 2015 |

The KO-valued spectral flow for skew-adjoint Fredholm operators C Bourne, AL Carey, M Lesch, A Rennie Journal of Topology and Analysis 14 (2), 505-556, 2020 | 9 | 2020 |

Application of semifinite index theory to weak topological phases, in 2016 MATRIX Annals, MATRIX Book Ser., Vol. 1 C Bourne, H Schulz-Baldes arXiv preprint arXiv:1612.01613, 203-227, 2018 | 8* | 2018 |

Localised module frames and Wannier bases from groupoid Morita equivalences C Bourne, B Mesland Journal of Fourier Analysis and Applications 27 (69), 2021 | 7* | 2021 |

The Cayley transform in complex, real and graded -theory C Bourne, J Kellendonk, A Rennie International Journal of Mathematics 31 (9), 2050074, 2020 | 7 | 2020 |

Locally equivalent quasifree states and index theory C Bourne Journal of Physics A: Mathematical and Theoretical 55 (10), 104004, 2022 | 5 | 2022 |

Index theory of chiral unitaries and split-step quantum walks C Bourne SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19, 053, 2023 | 3 | 2023 |

The K-theoretic classification of topological insulators and superconductors C Bourne | | 2023 |