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1. Quantum Monte Carlo data for 4He inside Ar-Preplated MCM-41 Nanopores

   https://doi.org/10.5281/zenodo.6012499  

   Del, Adrian Maestro (January 2022, Zenodo)

   Raw quantum Monte Carlo data for argon pre-plated MCM-41 nanopores with L = 50 Å.</p> Details of the simulations are published here: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.144505</p> 

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2. Rational homotopy type of projectivization of the tangent bundle of certain spaces

   https://doi.org/10.1108/AJMS-02-2024-0029  

   Gastinzi, Jean Baptiste; Ndlovu, Meshach (August 2024, Arab Journal of Mathematical Sciences)

   PurposeThe paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces. Design/methodology/approachThe paper utilises techniques from Sullivan’s theory of minimal models to analyse the differential graded algebraic structure of projectivized bundles. It employs algebraic methods to compute the Sullivan minimal model of $P(E)$and establish relationships with the base space. FindingsThe paper determines the rational homotopy type of projectivized bundles over complex projective spaces. Of great interest is how the Chern classes of the fibre space and base space, play a critical role in determining the Sullivan model ofP(E). We also provide the homogeneous space ofP(E)whenn = 2. Finally, we prove the formality ofP(E)over a homogeneous space of equal rank. Research limitations/implicationsLimitations may include the complexity of computing minimal models for higher-dimensional bundles. Practical implicationsUnderstanding the rational homotopy type of projectivized bundles facilitates computations in algebraic topology and differential geometry, potentially aiding in applications such as topological data analysis and geometric modelling. Social implicationsWhile the direct social impact may be indirect, advancements in algebraic topology contribute to broader mathematical knowledge, which can underpin developments in science, engineering, and technology with societal benefits. Originality/valueThe paper’s originality lies in its application of Sullivan minimal models to determine the rational homotopy type of projectivized bundles over complex projective spaces, offering valuable insights into the algebraic structure of these spaces and their associated complex vector bundles. 

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3. Taking stock of campus mentoring ecosystems: a peer assessment dialogue exercise

   https://doi.org/10.1108/IJMCE-09-2022-0072  

   Packard, Becky Wai-Ling; Montgomery, Beronda L.; Mondisa, Joi-Lynn (September 2023, International Journal of Mentoring and Coaching in Education)

   PurposeThe purpose of this study was to examine the experiences of multiple campus teams as they engaged in the assessment of their science, technology, engineering and mathematics (STEM) mentoring ecosystems within a peer assessment dialogue exercise. Design/methodology/approachThis project utilized a qualitative multicase study method involving six campus teams, drawing upon completed inventory and visual mapping artefacts, session observations and debriefing interviews. The campuses included research universities, small colleges and minority-serving institutions (MSIs) across the United States of America. The authors analysed which features of the peer assessment dialogue exercise scaffolded participants' learning about ecosystem synergies and threats. FindingsThe results illustrated the benefit of instructor modelling, intra-team process time and multiple rounds of peer assessment. Participants gained new insights into their own campuses and an increased sense of possibility by dialoguing with peer campuses. Research limitations/implicationsThis project involved teams from a small set of institutions, relying on observational and self-reported debriefing data. Future research could centre perspectives of institutional leaders. Practical implicationsThe authors recommend dedicating time to the institutional assessment of mentoring ecosystems. Investing in a campus-wide mentoring infrastructure could align with campus equity goals. Originality/valueIn contrast to studies that have focussed solely on programmatic outcomes of mentoring, this study explored strategies to strengthen institutional mentoring ecosystems in higher education, with a focus on peer assessment, dialogue and learning exercises. 

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4. Symmetry of hypersurfaces and the Hopf Lemma

   https://doi.org/10.3934/mine.2023084  

   Li, YanYan (January 2023, Mathematics in Engineering)

   A classical theorem of A. D. Alexandrov says that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere. We give exposition to some results on symmetry properties of hypersurfaces with ordered mean curvature and associated variations of the Hopf Lemma. Some open problems will be discussed. 

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5. Lightning‐caused disturbance in the Peruvian Amazon

   https://doi.org/10.1111/btp.12826  

   Gora, Evan M.; Yanoviak, Stephen P. (July 2020, Biotropica)

   Abstract We surveyed seven lightning strike sites in the northern Peruvian Amazon. An average of 17.3 trees were damaged per strike; large trees (> 60 cm diameter) were disproportionately affected. The results contribute to a growing body of evidence that lightning is an important agent of disturbance pantropically. Abstract in Spanish is available with online material. 

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