Geometric Innovation in Ramsey Theory: New Tools for Classic Challenges. Ramsey theory is a branch of mathematics that studies the counter-intuitive phenomenon that in a large chaotic network, there i

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Geometric Innovation in Ramsey Theory: New Tools for Classic Challenges. Ramsey theory is a branch of mathematics that studies the counter-intuitive phenomenon that in a large chaotic network, there is a quantifiable degree of order within it. Recent breakthroughs in Ramsey theory of long-standing open problems make it one of the hottest topics in modern day mathematics. This is due in part to the exciting input of finite geometry: the study of geometries that only have finitely many points, lines, planes, and so forth. Finite geometers have bridged the divide and found geometric order within chaos, and have made spectacular improvements to what we know about the growth of Ramsey graphs. This project aims to exploit this further and accelerate the development of geometric tools in Ramsey Theory.. Scheme: Discovery Projects. Field: 4904 - Pure Mathematics. Lead: A/Prof John Bamberg