Given a smooth variety X over $\mathbb {C}$, a smooth divisor $i:Y\hookrightarrow X$ and a global function f on X which vanishes on Y and on its critical locus, we compute the map induced on Hochschild homology by the pushforward functor $i_{\ast }:D^b(Y)\to D^{abs}(MF(X,f))$ in terms of the Hochschild-Kostant-Rosenberg isomorphisms.

Political actors, scholars, and citizens have long worried that the United States Supreme Court poses a “countermajoritarian difficulty”: the concern that policy making by unelected judges undermines democratic governance. In political science, a prominent response has come from a school of thought known as “regime theory,” which contends that this concern is misplaced because the court acts in alignment with a dominant governing coalition in the elected branches. In this article, we revisit regime theory and argue that it relies on unstated scope conditions. Specifically, it best explains periods characterized by low levels of interparty competition and intraparty cohesion. Since the 1970s, however, both these conditions have gradually eroded. We develop a revised theory of court–party relations to account for changing party dynamics. Under contemporary conditions of high interparty competition and high intraparty cohesion, the court is aligned with one of two competitive party coalitions rather than a dominant governing coalition. In this context, the court can support its aligned coalition in distinct ways that are indeed countermajoritarian. To illustrate our theory, we trace the functions of Supreme Court decision making for its aligned coalition over three periods (1930s–60s, 1970s–90s, and 2000s–present) and show why normative concerns about judicial power as a threat to democratic governance are well founded in the contemporary period.

We consider non-autonomous conformal iterated function systems (NACIFSs) and their limit sets. Our main focus is on harmonic measure and its dimensions: Hausdorff and packing. We prove that these two dimensions are continuous under perturbations and that they satisfy Bowen’s and Manning’s type formulas. To achieve this, we establish general results about measures, and more broadly about positive functionals, defined on a symbolic space. We also develop tools from thermodynamic formalism in a non-autonomous setting.

The fiftieth anniversary of the publication of the Survey of Canadian English presents a unique opportunity to examine change in Canadian English over five decades of real time. A partial replication of the original survey was therefore conducted in 2023-24, gathering a similar number of responses (approximately 14,000) from every province of Canada. The new survey reprised 45 of the old survey’s questions, including variables of pronunciation, grammar, vocabulary and spelling, many of these contrasting British, American, and in some cases Canadian variants. A comparison of the two datasets at the aggregate level finds that the proportion of American variants has grown and continues to grow at the expense of British and Canadian variants, though not all variables show this trend and the spelling variables are generally an exception; that Canada’s provinces vary in the extent to which they display this shift; that vocabulary is more regionally variable than pronunciation, grammar or spelling; and that regional variation is declining today, compared to its prevalence in 1972.

This paper addresses three key objectives. First, weighted Sobolev trace embeddings are studied for a class of function spaces defined in the upper half-space. Second, Liouville-type theorems are proved, providing essential insights into the nonexistence of solutions for a class of quasilinear elliptic problems with indefinite boundary conditions under specific constraints. Third, by combining the derived embedding results with the fibering method, the existence of solutions for such problems is established. These findings contribute to a deeper understanding of the analytical and variational properties of these elliptic equations.

Aphis gossypii Glover is a highly polyphagous pest causing significant economic losses worldwide. In Greece, while the species is a primary threat to various crops, comprehensive molecular data regarding its insecticide resistance status remain scarce. This study, the first time in Greece, developed and implemented droplet digital PCR (ddPCR) to detect and quantify the frequency of key resistance mutations (R81T, S431F, A302S, L1014F/M918L, and A2666V – resistance to nicotinic acetylcholine receptor competitive modulators, dimethyl carbamates, organophosphates and carbamates, pyrethroids, and keto–enols, respectively) in field populations from citrus, cotton, and cucurbits plantations between 2021 and 2025. Our results identified four out of the six target mutations (L1014F and A2666V mutations were not found in any of the samples). Cucurbit populations exhibited the highest resistance levels, with S431F being fixed in seven populations and reaching a total resistance allele frequency (RAF) of 75%. The mutations A302S and M918L were also prevalent in cucurbits (total RAF of 40% and 49%, respectively), while the neonicotinoid-associated R81T mutation was detected at lower frequencies (total RAF of 9%). In contrast, citrus and cotton populations showed lower resistance diversity, with citrus populations possessing only the S431F mutation. The high resistance frequencies in cucurbits likely reflect intense selection pressure from specific insecticides used in these crops. Given the predominantly asexual reproduction of A. gossypii in Greece, the persistence of resistant genotypes poses a significant challenge. The ddPCR diagnostics developed here provide highly sensitive tools for monitoring target-site resistance, supporting effective insecticide resistance management.

Despite increases in the military capabilities of Sahelian jihadists over the last decade, similarities and differences between the fighting styles of groups with common transnational jihadist affiliations remain underexplored. This article compares the activities of the two Islamic State (IS)-affiliated groups in the wider Sahel: the Islamic State West Africa Province (ISWAP) and the Islamic State Sahel Province (ISSP). Despite a common affiliation, these groups operate in different local contexts, over a thousand kilometres apart. Similarities and differences in their military approaches can thus help us understand the respective impact of local and transnational dynamics on jihadist behaviour. Drawing on qualitative fieldwork and quantitative/geospatial analysis, this article explores this issue through analysis of strategic goals, command and control, military hybridisation, tactics/attack profiles and spatial variations. While their activities are by no means uniform, we find a growing convergence between these groups over time driven by a mix of IS influence and local dynamics.

Lawyers instruct their clients to make performative and fleeting modifications in comportment to appease judges or officers. But how do they guide their clients to routinize everyday behaviors and lifestyles seen as desirable and respectable by the state? Expanding on theories of social control, nonstate governance, and lawyering, this paper considers the role of lawyers who guide mixed-status couples applying for marriage-based green card and naturalization petitions in the United States. Interviews with immigration attorneys, paralegals, and nonprofit advocates reveal their three-step strategy to shape intimate dimensions of mixed-status couples’ lives that connote marital legitimacy. First, lawyers translate immigration law into personalized checklists that function as the blueprint of marriage that couples must follow. Then, lawyers instruct and correct their clients’ family behaviors so that they are enacted and documented in compliance with vague immigration law as interpreted by the archetypal immigration officer. Crucially, lawyers help couples routinize and painstakingly archive these curated lifestyles for ongoing adjudication. Findings suggest that nonstate actors like immigration lawyers are more than intermediaries who broker and coach; they become domestic counselors who, as indirect agents of the state, coerce subjects toward acculturation.