I study the large scale geometry of infinite groups and spaces, focusing on quasi-isometries, which are maps between groups or spaces that preserve the large scale geometry. Since quasi-isometries need not be continuous, distinguishing groups up to quasi-isometries can be challenging. This motivates considering invariants, that is, properties preserved under quasi-isometries.
Mathematical Modelling of Face Coverings for Virus Protection
Shirley, M
Griffiths, I
Houghton, J
Hope, L
Hope, P
Breward, C
(28 Aug 2025)
doi:10.48550/arxiv.2508.20801
Songs about other singers...
John Martyn wrote this in 1972 about his friend, the songwriter Nick Drake (1948-1974). The lyrics are here.
The transition from lubrication flow to extensional flow in the overflow fusion process (Plot Data)
Hart, O
(01 Jan 2025)
The transition from lubrication flow to extensional flow in the overflow fusion process
Hart, O
Breward, C
Howell, P
Journal of Fluid Mechanics
volume 1021
(23 Oct 2025)
doi:10.1017/jfm.2025.10761
Weak Laplacian Bounds and Minimal Boundaries in Non-smooth Spaces with Ricci Curvature Lower Bounds
Mondino, A
Semola, D
Memoirs of the American Mathematical Society
volume 310
issue 1568
(10 Jun 2025)
doi:10.1090/memo/1568
From reductionism to realism: holistic mathematical modelling for complex biological systems
Nartallo-Kaluarachchi, R
Lambiotte, R
Goriely, A
Journal of the Royal Society Interface
volume 22
issue 232
(26 Nov 2025)
doi:10.1098/rsif.2025.0468
From reductionism to realism: holistic mathematical modelling for complex biological systems
Nartallo-Kaluarachchi, R
Lambiotte, R
Goriely, A
Journal of the Royal Society Interface
volume 22
issue 232
20250468
(26 Nov 2025)
doi:10.1098/rsif.2025.0468
Efficient risk estimation for the credit valuation adjustment
Giles, M
Haji-Ali, A
Spence, J
Finance and Stochastics
(08 Sep 2026)
doi:10.1007/s00780-026-00601-y
Models of buoyancy-driven dykes using continuum plasticity or fracture mechanics: a comparison
Li, Y
Davis, T
Pusok, A
Katz, R
Geoscientific Model Development
volume 18
issue 18
6219-6238
(23 Sep 2025)
doi:10.5194/gmd-18-6219-2025