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.

本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，研究分析数论和代数数论之间的联系。潜在的发现是非常重要的，因为新的基础知识的创新一代将扩大该领域，并具有加密应用。 预期的成果包括提高基础科学的能力和更好地理解经典和量子密码协议。该项目将提供额外的和实质性的好处，产生研究成果，培训人类发展报告的学生，并为国家安全作出贡献。