The K-Theoretic Bulk–Edge Correspondence for Topological Insulators C Bourne, J Kellendonk, A Rennie Annales Henri Poincaré 18 (5), 1833-1866, 2017 | 52 | 2017 |

A non-commutative framework for topological insulators C Bourne, AL Carey, A Rennie Reviews in Mathematical Physics 28 (02), 1650004, 2016 | 50 | 2016 |

Non-commutative Chern numbers for generic aperiodic discrete systems C Bourne, E Prodan Journal of Physics A: Mathematical and Theoretical 51 (23), 235202, 2018 | 32 | 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 | 30 | 2015 |

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 | 22 | 2018 |

Index theory and topological phases of aperiodic lattices C Bourne, B Mesland Annales Henri Poincaré 20 (6), 1969-2038, 2019 | 10 | 2019 |

Topological states of matter and noncommutative geometry C Bourne The Australian National University, 2015 | 9 | 2015 |

On ℤ 2-indices for ground states of fermionic chains C Bourne, H Schulz-Baldes Reviews in Mathematical Physics 32 (9), 2050028, 2020 | 6 | 2020 |

Application of semifinite index theory to weak topological phases C Bourne, H Schulz-Baldes 2016 MATRIX Annals, 203-227, 2018 | 5 | 2018 |

The KO-valued spectral flow for skew-adjoint Fredholm operators C Bourne, AL Carey, M Lesch, A Rennie arXiv preprint arXiv:1907.04981, 2019 | 4 | 2019 |

The classification of symmetry protected topological phases of one-dimensional fermion systems C Bourne, Y Ogata Forum of Mathematics, Sigma 9, 2021 | 3 | 2021 |

Gabor frames and Wannier bases from groupoid Morita equivalences C Bourne, B Mesland arXiv preprint arXiv:2009.13806, 2020 | 3 | 2020 |

The Cayley transform in complex, real and graded -theory C Bourne, J Kellendonk, A Rennie International Journal of Mathematics 31 (9), 2050074, 2020 | 1 | 2020 |