Class numbers and discriminants: algebraic and analytic number theory meet

类数和判别式：代数和解析数论的结合

• 批准号: DP240100186
• 负责人: Prof Timothy Trudgian
• 金额: $ 32.89万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2024
• 资助国家: 澳大利亚
• 起止时间: 2024-01-01 至 2026-12-31
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP240100186
• 关键词: Class; numbers; discriminants; algebraic; analytic

This project aims to investigate connections between analytic and algebraic number theory utilising the theoretical and computational expertise of the research group in number theory at UNSW Canberra. The potential findings are highly significant since the innovative generation of new fundamental knowledge will expand the field, and have cryptographic applications. The expected outcomes include increased capacity in fundamental science and greater understanding of classical and quantum cryptographic protocols. This project will provide the additional, and substantial, benefit of generating research output, training HDR students, and contributions towards national security.

该项目旨在利用新南威尔士大学堪培拉数论研究小组的理论和计算专业知识，研究解析数论和代数数论之间的联系。这些潜在的发现非常重要，因为新基础知识的创新生成将扩展该领域，并具有密码学应用。 预期成果包括基础科学能力的提高以及对经典和量子密码协议的更好理解。该项目将提供额外的实质性好处，包括产生研究成果、培训 HDR 学生以及为国家安全做出贡献。