Curvature in biological systems: its quantification, emergence, and implications across the scales
 Schamberger, B Roschger, A Ziege, R Anselme, K Amar, M Bykowski, M Castro, A Cipitria, A Coles, R Dimova, R Eder, M Ehrig, S Escudero, L Evans, M Fernandes, P Fratzl, P Geris, L Gierlinger, N Hannezo, E Iglič, A Kirkensgaard, J Kollmannsberger, P Kowalewska, Ł Kurniawan, N Papantoniou, I Pieuchot, L Pires, T Renner, L Sageman-Furnas, A Schröder-Turk, G Sengupta, A Sharma, V Tagua, A Tomba, C Trepat, X Waters, S Yeo, E Bidan, C Dunlop, J Advanced Materials volume 35 issue 13 (15 Feb 2023)
Photo of two female DPhil students

Maryam Mirzakhani Scholarship for female DPhil (PhD) students

The new scholarship, enabled by founding and principal donor XTX Markets, launches in memory of Iranian mathematician Maryam Mirzakhani.

A £2.48 million gift from founding and principal donor XTX Markets, the global algorithmic trading firm, will enable the endowment of a Maryam Mirzakhani scholarship scheme at the University of Oxford, to help talented female graduates pursue doctoral studies in mathematics at Oxford.

Aqueous humour flow in the posterior chamber of the eye and its modifications due to pupillary block and iridotomy.
 Dvoriashyna, M Repetto, R Romano, M Tweedy, J Mathematical medicine and biology : a journal of the IMA volume 35 issue 4 447-467 (Dec 2018)
Hydrodynamics and direction change of tumbling bacteria.
 Dvoriashyna, M Lauga, E PloS one volume 16 issue 7 e0254551- (20 Jan 2021)
Rebound and scattering of motile <i>Chlamydomonas</i> algae in confined chambers.
 Théry, A Wang, Y Dvoriashyna, M Eloy, C Elias, F Lauga, E Soft matter volume 17 issue 18 4857-4873 (May 2021)
Reduced surface accumulation of swimming bacteria in viscoelastic polymer fluids.
 Cao, D Dvoriashyna, M Liu, S Lauga, E Wu, Y Proceedings of the National Academy of Sciences of the United States of America volume 119 issue 45 e2212078119- (02 Nov 2022)
Universal characteristics of deep neural network loss surfaces from random matrix theory
 Baskerville, N Keating, J Mezzadri, F Najnudel, J Granziol, D Journal of Physics A: Mathematical and Theoretical volume 55 issue 49 (16 Dec 2022)
Mon, 06 Mar 2023
14:15
L4

Phase transitions with Allen-Cahn mean curvature bounded in $L^p$.

Shengwen Wang
(Queen Mary University)
Abstract

We consider the varifolds associated to phase transitions whose first variation of Allen-Cahn energy is $L^p$ integrable with respect to the energy measure. We can see that the Dirichlet and potential part of the energy are almost equidistributed. After passing to the phase field limit, one can obtain an integer rectifiable varifold with bounded $L^p$ mean curvature. This is joint work with Huy Nguyen.

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