Situating International and Global Mathematics

国际和全球数学概况

• 批准号: EP/X033961/1
• 负责人: Michael Barany
• 金额: $ 164.66万
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FX033961%2F1
• 关键词: Situating; International; Global; Mathematics

Few forms of knowledge seem so intrinsically universal and so disconnected from their producers and contexts as mathematics. Yet the repeated lesson of the discipline's history is that mathematical inquiry can be especially place-rooted, with long-distance mutual understanding especially hard-won and precarious. The institutions and infrastructures mathematicians built in the last century to realize their universal ambitions made their world dramatically more connected and integrated, while at the same time obscuring the magnitude and implications of this transformation. The complex legacy of their conditions and assumptions, struggles and compromises, and inequities and prejudices affects the discipline's past, present, and future at every level: who participates, how and where they do so, what knowledge they produce, and what they can do with that knowledge.SIGMA will provide the first integrated history to comprehend the globalization of modern mathematics from the perspective of every inhabited continent, accounting for the production of global research communities, interconnected national and international institutions, and the corresponding transformation of the nature and conditions of mathematical knowledge.The project builds on the Principal Investigator's unique experience of continent- and discipline-crossing research and collaboration to create a foundation for a new generation of research on the scale-crossing situated achievement of seemingly placeless theories. SIGMA's three strands-Institutions, Infrastructures, and Implications-will interrogate the shifting scales of mathematics' people, places, ideas, and ideals in scientific, geopolitical, social, economic, and cultural contexts, developing new methods and frameworks to reckon with mathematics' diversity of settings, languages, practices, and networks and to elucidate the persistent challenges of understanding and intervening in an interconnected world.

很少有知识形式像数学那样具有本质上的普遍性，并且与其产生者和背景如此脱节。然而，该学科历史不断的教训是，数学探究可能特别扎根于地方，远距离的相互理解尤其来之不易且不稳定。数学家在上个世纪为实现他们的普遍抱负而建立的机构和基础设施使他们的世界变得更加互联和一体化，同时模糊了这一转变的规模和影响。他们的条件和假设、斗争和妥协、不平等和偏见等复杂的遗产影响着该学科的过去、现在和未来的各个层面：谁参与、他们如何以及在哪里参与、他们产生什么知识以及他们可以用这些知识做什么。SIGMA 将提供第一个综合历史，从每个有人居住的大陆的角度理解现代数学的全球化，解释全球研究社区的产出， 相互联系的国家和国际机构，以及数学知识的性质和条件的相应转变。该项目建立在首席研究员跨大陆和跨学科研究与合作的独特经验的基础上，为新一代研究看似无地点理论的跨尺度情境成就奠定了基础。 SIGMA 的三个分支——机构、基础设施和影响——将探讨科学、地缘政治、社会、经济和文化背景下数学的人物、地点、思想和理想的变化规模，开发新的方法和框架来考虑数学环境、语言、实践和网络的多样性，并阐明理解和干预数学的持续挑战。 互联的世界。