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1. Centers of Artin groups defined on cones

   https://doi.org/10.1017/S0013091524000695  

   Jankiewicz, Kasia; Montee, MurphyKate (February 2025, Proceedings of the Edinburgh Mathematical Society)

   Abstract We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. In particular, it holds for every Artin group whose defining graph has exactly one cone point. 

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2. Right-angled Artin subgroups of Artin groups

   https://doi.org/10.1112/jlms.12586  

   Jankiewicz, Kasia; Schreve, Kevin (April 2022, Journal of the London Mathematical Society)

   The Tits Conjecture, proved by Crisp and Paris, states that squares of the standard generators of any Artin group generate an obvious right-angled Artin subgroup. We consider a larger set of elements consisting of all the centers of the irreducible spherical special subgroups of the Artin group, and conjecture that sufficiently large powers of those elements generate an obvious right-angled Artin subgroup. This alleged right-angled Artin subgroup is in some sense as large as possible; its nerve is homeomorphic to the nerve of the ambient Artin group. We verify this conjecture for the class of locally reducible Artin groups, which includes all 2-dimensional Artin groups, and for spherical Artin groups of any type other than 𝐸₆, 𝐸₇, 𝐸₈. We use our results to conclude that certain Artin groups contain hyperbolic surface subgroups, answering questions of Gordon, Long and Reid. 

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3. The Psychology of Proenvironmental Support: In Search of Global Solutions for a Global Problem

   https://doi.org/10.1177/0963721419854099  

   Eom, Kimin; Papadakis, Viki; Sherman, David_K; Kim, Heejung_S (June 2019, Current Directions in Psychological Science)

   We review research that provides a sociocultural perspective on proenvironmental support. Despite the increasing volume of psychological research on proenvironmental action, there has been a relative dearth of consideration of sociocultural contexts, which poses critical theoretical and practical limitations to understanding and fostering proenvironmental actions across diverse populations. The sociocultural perspective posits that the primary motives driving action are context dependent. Building on this perspective, our research examines significant divergence in key determinants of proenvironmental support, focusing on several sociocultural variables, including national culture (individualism-collectivism), socioeconomic status, and religion. This program of research shows that personal environmental beliefs more directly lead to proenvironmental support in sociocultural contexts that prioritize personal motives over social motives. In contrast, in contexts that prioritize social motives, social influence becomes a more important predictor of proenvironmental support. Solving environmental challenges requires leveraging psychological diversity to motivate people across the globe. 

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4. COHOMOLOGICAL MACKEY 2-FUNCTORS

   https://doi.org/10.1017/S1474748022000408  

   Balmer, Paul; Dell’Ambrogio, Ivo (January 2024, Journal of the Institute of Mathematics of Jussieu)

   Abstract We show that the bicategory of finite groupoids and right-free permutation bimodules is a quotient of the bicategory of Mackey 2-motives introduced in [2], obtained by modding out the so-called cohomological relations. This categorifies Yoshida’s theorem for ordinary cohomological Mackey functors and provides a direct connection between Mackey 2-motives and the usual blocks of representation theory. 

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5. Children’s and adults’ understanding of how punishment shapes social relationships

   https://doi.org/10.1016/j.jecp.2025.106331  

   Lee, Young-eun; Solomon, Larisa Heiphetz (December 2025, Journal of Experimental Child Psychology)

   Punishment regulates selfish behaviors and maintains cooperation. However, because punishment imposes costs on another person, it could also harm relationships. The current work asked how punishment shapes 5- to 10-year-olds' (Study 1; n=128) and adults' (Study 2; n=159) attitudes toward punishers and those who receive punishment as well as their inferences about relationships between punishers and targets. We reasoned that the motives underlying punishment might shape evaluations; punishments motivated by prosocial desires may elicit more positive responses than punishments motivated by antisocial desires. We tested both motives that were external to the punisher (the behavior that elicited the punishment) as well as internal motives (the desire to harm versus rehabilitate transgressors). The main result is that we found negative social relationships among punishers, targets, and observers. Both children and adults preferred punishers who inflicted punishment for behaviors that violated (versus did not violate) norms, preferred targets of punishment who had not (versus had) violated norms, and expected punishers and targets to dislike each other. External motives, but not internal motives, consistently influenced participants’ own social preferences. In contrast, neither external nor internal motives consistently shaped participants' inferences about social relationships between punishers and their targets. Our work contributes to social cognitive development by clarifying how motives shape children's and adults' understanding of social relationships. 

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