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, lowdimensional 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 LimaFilho  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, Ktheory of operator algebras, index theory, topology and analysis of manifolds, geometric group theory Zhizhang Xie  Noncommutative geometry, Ktheory 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

Please send comments/corrections to Guangbo Xu, guangboxu <at> math.tamu.edu. Updated December 8, 2020