Capacity building in Africa via technology-driven research in algebraic and arithmetic geometry

通过技术驱动的代数和算术几何研究进行非洲能力建设

• 批准号: EP/T001968/1
• 负责人: Balazs Szendroi
• 金额: $ 21.78万
• 依托单位: University of Oxford
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FT001968%2F1
• 关键词: Capacity; building; Africa; via; technology

Our proposed project aims to build mathematics research capacity on the African continent by establishing deep, meaningful collaborations between UK mathematicians and emerging Sub-Saharan African scientists and their research groups to tackle a range of problems arising in technological challenges relevant to the African development context. Our approach to these problems will involve the toolkit of abstract mathematics. Our objective is to build up expertise among African partners and their research groups in using theoretical approaches to attack applied problems.Our capacity building programme is focused around collaborative research in applied algebraic and arithmetic geometry. This is a fast-developing area that aims to apply the sophisticated tools of abstract geometry to the study of systems of polynomial equations arising in applications. The specific research objectives we will tackle come from the areas of power flows, systems biology, robotics and cryptography. All these lines of inquiry can address specific challenges arising in development-related contexts. Controlling and understanding power flow in electrical networks leads to improvements in the robustness and hence the reliability of an electrical system without having to resort to expensive precautionary over-engineering. A better theoretical understanding of signalling pathways connected to specific diseases enables more efficient experimental design, with a high potential for applications in an African context. Theoretical progress in robotics leads to suggestions for better practical design of specific kinematical constructions, that can then be tested in emerging local robotics labs. Cryptography, including more sophisticated versions such as elliptic curve cryptography, allows for efficient protocols for information security, and is widely used in the banking sector including mobile money transfers, an industry in which Africa is a world leader.On the UK side, our capacity building research programme will be led by a group of Investigators with a track record in high-level research in the fields of algebraic and arithmetic geometry and their applications, and experience of research development in an international context. On the African side, we will work with a core group of African Partners, emerging leaders already known to us and active in research in the fields of algebra and algebraic and arithmetic geometry. We will recruit further African participants via open calls to join our capacity building research programme.Our proposed project will consist of two phases. In the first phase of the project, two intensive, 10-day workshops will be held in East and West Africa, respectively. In the second phase of the project, we will host about African scientists in the UK for visits to the UK, whereas Investigators will visit African partner departments.Our capacity building programme will allow African mathematicians to find the time and focus to embark on research in specific development-related areas, which are mostly novel for them. Via the impact on their research groups, this will lead to a sustainable increase in local expertise in these lines of inquiry. We will thus build crucial research capacity able to tackle challenges relevant in the context of development.

我们拟议的项目旨在通过建立英国数学家和新兴的撒哈拉以南非洲科学家及其研究小组之间的深入，有意义的合作，以解决与非洲发展背景相关的技术挑战中出现的一系列问题，来建立非洲大陆的数学研究能力。我们解决这些问题的方法将涉及抽象数学的工具包。我们的目标是在非洲合作伙伴及其研究小组中建立使用理论方法解决应用问题的专业知识。我们的能力建设计划侧重于应用代数和算术几何的合作研究。这是一个快速发展的领域，旨在将抽象几何的复杂工具应用于研究应用中出现的多项式方程系统。我们将解决的具体研究目标来自电力流，系统生物学，机器人和密码学领域。所有这些调查都可以解决与发展有关的背景下出现的具体挑战。控制和理解电力网络中的功率流导致电力系统的鲁棒性和可靠性的改善，而不必诉诸昂贵的预防性过度工程。更好地从理论上理解与特定疾病相关的信号通路，可以实现更有效的实验设计，在非洲背景下具有很大的应用潜力。机器人技术的理论进步导致更好的具体运动学结构的实际设计的建议，然后可以在新兴的本地机器人实验室进行测试。密码学，包括更复杂的版本，如椭圆曲线密码学，允许有效的协议，为信息安全，并广泛用于银行业，包括移动的汇款，一个行业，其中非洲是世界领先的。在英国方面，我们的能力建设研究计划将由一组研究人员领导，他们在以下方面有着良好的记录：在代数和算术几何及其应用领域的水平研究，并在国际范围内的研究发展的经验。在非洲方面，我们将与非洲伙伴的核心小组合作，这些伙伴是我们已经认识的新出现的领导人，他们积极参与代数和代数及算术几何领域的研究。我们将通过公开招募的方式招募更多的非洲参与者加入我们的能力建设研究计划。我们拟议的项目将包括两个阶段。在项目的第一阶段，将分别在东非和西非举办两个为期10天的密集讲习班。在项目的第二阶段，我们将接待约100名非洲科学家访问英国，而研究人员将访问非洲合作部门。我们的能力建设计划将使非洲数学家能够找到时间和重点，开始在特定的发展相关领域进行研究，这些领域对他们来说大多是新颖的。通过对其研究小组的影响，这将导致这些调查领域的当地专业知识的可持续增长。因此，我们将建设能够应对与发展有关的挑战的关键研究能力。

项目成果

Barcodes distinguish morphology of neuronal tauopathy

条形码区分神经元 tau 蛋白病变的形态

• DOI: 10.48550/arxiv.2204.03348
• 发表时间: 2022
• 作者: Beers D

Refined Ehrhart Series and Bigraded Rings

精致的 Ehrhart 系列和 Bigraded 戒指

• DOI: 10.1556/012.2023.01541
• 发表时间: 2023
• 期刊: Studia Scientiarum Mathematicarum Hungarica
• 影响因子: 0.7
• 作者: Adeyemo P

Grassmannians in the Lattice points of Dilations of the Standard Simplex

标准单纯形扩张格点中的格拉斯曼函数

• DOI: 10.48550/arxiv.2207.03683
• 发表时间: 2022
• 作者: Adeyemo P

Hypergraphs for multiscale cycles in structured data

结构化数据中多尺度循环的超图

• DOI: 10.48550/arxiv.2210.07545
• 发表时间: 2022
• 作者: Barbensi A

Stability of topological descriptors for neuronal morphology

神经元形态拓扑描述符的稳定性

• DOI: 10.48550/arxiv.2211.09058
• 发表时间: 2022
• 作者: Beers D