Surface site density, silicic acid retention and transport properties of compacted magnetite powder

International audienc

Equidistribution of Heegner Points and Ternary Quadratic Forms

We prove new equidistribution results for Galois orbits of Heegner points with respect to reduction maps at inert primes. The arguments are based on two different techniques: primitive representations of integers by quadratic forms and distribution relations for Heegner points. Our results generalize one of the equidistribution theorems established by Cornut and Vatsal in the sense that we allow both the fundamental discriminant and the conductor to grow. Moreover, for fixed fundamental discriminant and variable conductor, we deduce an effective surjectivity theorem for the reduction map from Heegner points to supersingular points at a fixed inert prime. Our results are applicable to the setting considered by Kolyvagin in the construction of the Heegner points Euler system

Iterative Phase Retrieval Algorithms for Scanning Transmission Electron Microscopy

Scanning transmission electron microscopy (STEM) has been extensively used for imaging complex materials down to atomic resolution. The most commonly employed STEM imaging modality of annular dark field produces easily-interpretable contrast, but is dose-inefficient and produces little to no contrast for light elements and weakly-scattering samples. An alternative is to use phase contrast STEM imaging, enabled by high speed detectors able to record full images of a diffracted STEM probe over a grid of scan positions. Phase contrast imaging in STEM is highly dose-efficient, able to measure the structure of beam-sensitive materials and even biological samples. Here, we comprehensively describe the theoretical background, algorithmic implementation details, and perform both simulated and experimental tests for three iterative phase retrieval STEM methods: focused-probe differential phase contrast, defocused-probe parallax imaging, and a generalized ptychographic gradient descent method implemented in two and three dimensions. We discuss the strengths and weaknesses of each of these approaches using a consistent framework to allow for easier comparison. This presentation of STEM phase retrieval methods will make these methods more approachable, reproducible and more readily adoptable for many classes of samples.Comment: 25 pages, 11 figures, 1 tabl

Encoding multistate charge order and chirality in endotaxial heterostructures

Intrinsic resistivity changes associated with charge density wave (CDW) phase transitions in 1T-TaS$_2$ hold promise for non-volatile memory and computing devices based on the principle of phase change memory (PCM). High-density PCM storage is proposed for materials with multiple intermediate resistance states, which have been observed in 1T-TaS$_2$. However, the metastability responsible for this behavior makes the presence of multistate switching unpredictable in 1T-TaS$_2$ devices. Here, we demonstrate the synthesis of nanothick verti-lateral 1H-TaS$_2$/1T-TaS$_2$ heterostructures in which the number of endotaxial metallic 1H-TaS$_2$ monolayers dictates the number of high-temperature resistance transitions in 1T-TaS$_2$ lamellae. Further, we also observe optically active heterochirality in the CDW superlattice structure, which is modulated in concert with the resistivity steps. This thermally-induced polytype conversion nucleates at folds and kinks where interlayer translations that relax local strain favorably align 1H and 1T layers. This work positions endotaxial TaS$_2$ heterostructures as prime candidates for non-volatile device schemes implementing coupled switching of structure, chirality, and resistance

Modular symbols in Iwasawa theory

This survey paper is focused on a connection between the geometry of $\mathrm{GL}_d$ and the arithmetic of $\mathrm{GL}_{d-1}$ over global fields, for integers $d \ge 2$. For $d = 2$ over $\mathbb{Q}$, there is an explicit conjecture of the third author relating the geometry of modular curves and the arithmetic of cyclotomic fields, and it is proven in many instances by the work of the first two authors. The paper is divided into three parts: in the first, we explain the conjecture of the third author and the main result of the first two authors on it. In the second, we explain an analogous conjecture and result for $d = 2$ over $\mathbb{F}_q(t)$. In the third, we pose questions for general $d$ over the rationals, imaginary quadratic fields, and global function fields.Comment: 43 page

Denominators of Eisenstein cohomology classes for GL_2 over imaginary quadratic fields

We study the arithmetic of Eisenstein cohomology classes (in the sense of G. Harder) for symmetric spaces associated to GL_2 over imaginary quadratic fields. We prove in many cases a lower bound on their denominator in terms of a special L-value of a Hecke character providing evidence for a conjecture of Harder that the denominator is given by this L-value. We also prove under some additional assumptions that the restriction of the classes to the boundary of the Borel-Serre compactification of the spaces is integral. Such classes are interesting for their use in congruences with cuspidal classes to prove connections between the special L-value and the size of the Selmer group of the Hecke character.Comment: 37 pages; strengthened integrality result (Proposition 16), corrected statement of Theorem 3, and revised introductio

Towards the empowered commuter : exploring information behaviour of informal public transport users

Papers presented virtually at the 41st International Southern African Transport Conference on 10-13 July 2023.Information is emerging as one of the key dimensions of mobility, and as an important lever through which sustainable access can be promoted in Sub-Saharan African (SSA) cities. Information acts as an enabler of transport, by allowing travellers to make informed decisions on whether, when, and how they travel. The lack of information can also act as a barrier to accessing desired services, with consequences for the attainment of equity and human development goals. Little is known about what information passengers need and how they find and use information. This paper reports on a qualitative mixed-methods study to explore information behaviour amongst informal transport passengers in Tshwane, South Africa. We use the theory and methods of information science (with information behaviour as a subdiscipline) to provide a lens for the investigation. We collected mobility data through travel diaries, user-submitted photos of the travel context and voice messages to explain these, and in-depth individual interviews combined with drawings of situations where respondents used information and its sources (called information horizon mappings). The drawings and interviews revealed the information-poor environment within which informal transport operates, and the strong reliance on other people as well as tacit embedded knowledge for gaining access to information. The paper concludes by offering directions for further research around digital information

Defending the genome from the enemy within:mechanisms of retrotransposon suppression in the mouse germline

The viability of any species requires that the genome is kept stable as it is transmitted from generation to generation by the germ cells. One of the challenges to transgenerational genome stability is the potential mutagenic activity of transposable genetic elements, particularly retrotransposons. There are many different types of retrotransposon in mammalian genomes, and these target different points in germline development to amplify and integrate into new genomic locations. Germ cells, and their pluripotent developmental precursors, have evolved a variety of genome defence mechanisms that suppress retrotransposon activity and maintain genome stability across the generations. Here, we review recent advances in understanding how retrotransposon activity is suppressed in the mammalian germline, how genes involved in germline genome defence mechanisms are regulated, and the consequences of mutating these genome defence genes for the developing germline