Groups: statistics, structure, and algorithms

今天的科学依赖于使用量化和数字信息的数字技术。由于数字信息的离散性，支撑这些进步的大部分数学来自代数和组合学的核心学科，而这一提议福尔斯也属于这些学科。该提案的各个方面都侧重于加强对代数和组合结构的理论理解，并提高与它们一起工作的计算能力。因此，在定理、算法和青年数学研究人员的培训方面的基础研究成果将提高澳大利亚数学的国际地位，并加强澳大利亚在这些重要领域的能力。

Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power for working with them. The fundamental research outcomes, in terms of theorems, algorithms, and the training of young research mathematicians, will thus both enhance the high international standing of Australian mathematics, and strengthen Australia's capabilities in these important areas.