In an earlier work, we defined a “generalised Temperley–Lieb algebra” $TL_{r, 1, n}$ corresponding to the imprimitive reflection group G(r, 1, n) as a quotient of the cyclotomic Hecke algebra. In this work we introduce the generalised Temperley–Lieb algebra $TL_{r, p, n}$ which corresponds to the complex reflection group G(r, p, n). Our definition identifies $TL_{r, p, n}$ as the fixed-point subalgebra of $TL_{r, 1, n}$ under a certain automorphism $\sigma$. We prove the cellularity of $TL_{r, p, n}$ by proving that $\sigma$ induces a special shift automorphism with respect to the cellular structure of $TL_{r, 1, n}$. We also give a description of the cell modules of $TL_{r, p, n}$ and their decomposition numbers, and finally we point to how our algebras might be categorified and could lead to a diagrammatic theory.

The famous Florentine chronicler Giovanni Villani (d. 1348), a basic source of information about his city and Europe, composed a detailed and overlooked account of a civil war among the Ḥafṣids, a North African Muslim dynasty, an event known primarily through the writings of Villani’s famous contemporary Ibn Khaldūn, an eyewitness. Villani’s account reveals a nuanced understanding of the social and cultural fabric of the Ḥafṣid Tunis that, paired with Ibn Khaldūn’s description, provides insight into Christian and Muslim Mediterranean perceptions. Villani viewed the conflict not as a faraway affair among nonbelievers but as emblematic of the universal effects of internecine family strife.

Global health law has now emerged as an area of specialisation for students interested in global problems concerning health due largely, if not principally, to the inspiring lifelong scholarly work of Professor Lawrence Gostin. A growing number of universities in the world have established programs on global health law in which they address questions of equity and solidarity in addressing public health issues and emergencies, global and national preparedness for pandemics and other health related emergencies, international health regulations, and the intersection between health and human rights, to mention a few. We can expect that as global health threats and inequalities in access to health continue to rise, interest in global health law as a field of legal research and education will continue to grow.

This article by Dr Charlotte Smith, of The National Archives, begins by articulating the importance and character of open justice. It then examines how this is evidenced in the justice system, before exploring the factors shaping its implementation within the archives. It does this through a treatment of third-party access to court records. It concludes by identifying questions that the justice system and archives might consider when developing the archival policy and practice applicable to archived court records.

This paper analyses the recent viral #MeToo and #ShoutYourAbortion campaigns and argues that examining them illuminates our thinking about privacy and standing.The paper argues that one of the aims of these campaigns was to debunk the view that women did not have standing with respect to matters concerning sexual harassment and reproductive care. The myths the campaigns sought to discredit – myths about sexual harassment and assault and abortion – involve victim-blaming, and one thing we do when we victim-blame is deny that the victim had standing. This paper also argues that women proved they had standing through these campaigns by revealing what was private. This is, I argue, a way of ‘exploding’ the private sphere as MacKinnon famously put it. By looking to these campaigns, we can see that their strategy relied on the value of privacy.

The space of monic squarefree complex polynomials has a stratification according to the multiplicities of the critical points. We introduce a method to study these strata by way of the infinite-area translation surface associated to the logarithmic derivative $df/f$ of the polynomial. We determine the monodromy of these strata in the braid group, thus describing which braidings of the roots are possible if the orders of the critical points are required to stay fixed. Mirroring the story for holomorphic differentials on higher-genus surfaces, we find the answer is governed by the framing of the punctured disk induced by the horizontal foliation on the translation surface.