Which part of mathematics does Tao's work include that relates to shapes?
Arithmetic geometry
Differential topology
Geometric combinatorics
Topological dynamics
Answer
Geometric combinatorics, as found in Tao's work, studies the properties and structures of geometric objects through combinatorial methods. It combines techniques from algebra, geometry, and combinatorics to investigate configurations, arrangements, and properties of geometric elements, such as points, lines, planes, and polytopes. By leveraging the tools of combinatorics, this field seeks to understand the underlying structures and patterns in various geometric problems.
The Terrific Terence Tao: Testing Your Knowledge of an Astounding Mathematician
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