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.
SeminarsGeometry Seminar Topology Seminar Working Geometry Seminar |
Conferences |
Faculty and Research InterestsIrina Bobkova - Algebraic topology, computational aspects of equivariant and chromatic homotopy theory Stephen Fulling - Mathematical physics Peter Kuchment - Integral geometry & geometric analysis J.M. Landsberg - Algebraic geometry & differential geometry Paulo Lima-Filho - Algebraic geometry & algebraic topology Laura Matusevich - Algebraic geometry & discrete geometry Gregory Pearlstein - Complex geometry Jon Pitts - Geometric analysis J. Maurice Rojas - Algebraic geometry & discrete geometry Eric Rowell - Motion groups, topological quantum field theory and topological phases of matter Frank Sottile - Algebraic geometry & discrete Geometry Peter Stiller - Algebraic geometry and applications Tian Yang - Geometric topology & quantum topology Guoliang Yu - Noncommutative geometry, K-theory of operator algebras, index theory, topology and analysis of manifolds, geometric group theory Zhizhang Xie - Noncommutative geometry, K-theory of operator algebras, index theory, and their applications to geometry and topology Guangbo Xu - Symplectic geometry, gauge theory, and mathematical physics Igor Zelenko - Differential geometry of nonholonomic structures, geometric control Theory, CR geometry |
Visiting membersTo be updated Student membersTo be updated
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Please send comments/corrections to Guangbo Xu, guangboxu <at> math.tamu.edu. Updated December 8, 2020