Publications and preprints
| [7] |
'Bigraded path homology and the magnitude-path spectral sequence' (with R. Hepworth), arXiv:2404.06689, 2024 |
| [6] |
'The small-scale limit of magnitude and the one-point property' (with M. Yoshinaga), arXiv:2312.14497, 2023 |
| [5] |
'The reachability homology of a directed graph' (with R. Hepworth), arXiv:2312.01378, 2023 |
| [4] |
'Iterated magnitude homology', arXiv:2309.00577, 2023 |
| [3] |
'Magnitude, homology, and the Whitney twist', Homol. Homotopy Appl. 25(1):105–130, 2024; arXiv:2211.02520, 2022 |
| [2] |
'The size and shape of things: magnitude, diversity, homology', PhD thesis, Edinburgh, 2022
This contains all of the material in [1], most of [3] and some of [4], plus a chapter discussing alternative ways to extend magnitude homology from finite to infinite metric spaces. |
| [1] |
'The maximum entropy of a metric space' (with T. Leinster), Q. J. Math. 72(4):1271–1309, 2021 |
Invited talks
(Some titles link to slides. Talks in italics are forthcoming.)
| 07.2024 |
Bigraded path homology and the magnitude-path spectral sequence |
Special Session on Discrete and Combinatorial Homotopy, AMS-UMI Joint Meeting |
Palermo |
| 05.2024 |
Entropy, diversity and magnitude: a survey, with questions |
Dynamical Systems Seminar |
Kyoto |
| 04.2024 |
Bigraded path homology and the magnitude-path spectral sequence |
Topology Seminar |
BIMSA, Beijing |
| 07.2023 |
What is the shape of a network? |
SIAM Minisymposium on Magnitude |
Eindhoven |
| 05.2023 |
(Two untitled talks) |
Beyond Finite Sets—Homotopy Theory and Combinatorics |
Copenhagen |
| 01.2023 |
Magnitude homology of enriched groups |
Topology Seminar |
Aberdeen |
| 12.2022 |
What are higher-order roles in social systems? |
SYCO 10 |
Edinburgh |
| 04.2022 |
Magnitude homology, normed groups, and holes in the plane |
Algebra, Geometry and Combinatorics Seminar |
TU Dresden |
| 06.2021 |
Magnitude homology and iterated enrichment |
Postgraduate Forum |
Lancaster |
| 05.2021 |
Magnitude homology of semidirect products and "spheres" |
MiaowMiaow Bi/Double-Categorical Seminar |
Sheffield |
| 11.2020 |
Maximum entropy, uniform measure |
ML@CL Machine Learning Seminar |
Cambridge |
| 06.2020 |
Magnitude homology, from scratch |
Pure Postgraduate Seminar |
Southampton |
| 12.2019 |
Diversity and magnitude |
LMS Applied Algebra and Geometry Research Network |
Oxford |
| 04.2019 |
The magnitude and diversity of a metric space |
TopApp Workshop
| IST Austria |
Contributed talks
| 12.2023 |
Iterated magnitude homology |
Magnitude 2023 |
Osaka |
| 05.2022 |
Magnitude homology in Euclidean space |
PSSL 106 |
Brno |
| 08.2021 |
Magnitude homology and iterated enrichment |
Category Theory 20–>21 |
Genova |
| 06.2021 |
Magnitude homology and iterated enrichment |
Categories and Companions Symposium |
Macquarie |
| 07.2019 |
The maximum diversity of a compact metric space |
Magnitude 2019 |
Edinburgh |
Local seminar talks