Geometry and Topology

Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and symmetry. Topology is concerned with the properties of geometric objects that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending. Nowadays, using tools from analysis, algebra, and other branches of mathematics, geometers and topologists study spaces which can be as concrete as our own universe, or as abstract as manifolds, varieties, schemes, etc.

The TAMU geometry and topology group has diverse research interests, including algebraic geometry, differential geometry, integral geometry, discrete geometry, noncommutative geometry, geometric control theory, low-dimensional topology, algebraic topology, with broad connections to algebra, analysis, applied and computational mathematics, mathematical physics, theoretical computer science, etc.