TORIC GEOMETRY

Toric geometry is a branch of algebraic geometry that studies toric varieties. These are special types of shapes that can be described using simpler, combinatorial data from shapes like polygons or polyhedra. Combinatorial data refers to information about how the components of a shape are arranged and connected, like the edges and vertices of a polygon. Essentially, toric geometry connects complex geometric shapes with more straightforward, visual shapes like cubes or pyramids. This field has significant applications in both pure mathematics, such as understanding the structure of complex shapes, and in theoretical physics, especially in string theory and the study of spaces like Calabi-Yau manifolds.

Partially generated with ChuckGPT, a custom GPT trained on my papers. 
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​Charles Doran
Professor of Mathematics, University of Alberta 
Distinguished Visiting Professor of Mathematics and Physics, Bard College 
Associate Member, Center of Mathematical Sciences and Applications, Harvard University