Geometry & Toplogy is the study of quantitative and qualitative properties of space.
Geometry deals with quantitative properties of space, such as distance and curvature on manifolds. Topology deals with more qualitative properties of space, namely those that remain unchanged under bending and stretching. (For this reason, topology is often called "the geometry of rubber sheets".) The two subjects are closely related and play a central role in many other fields such as Algebraic Geometry, Dynamical Systems, and Physics. At McMaster research focuses on Algebraic Topology (homotopy theory, K-theory, surgery), Geometric Topology (group actions on manifolds, gauge theory, knot theory), and Differential Geometry (curvature, Dirac operators, Einstein equations, and general relativity).
Gauge theory, knots and 3-manifolds
Algebraic and geometric topology
Symplectic geometry, algebraic geometry
Differential Geometry, Applications, and Mathematics Education
Geometric Analysis and Partial Differential Equations
Differential geometry, geometric analysis
Department of Mathematics & StatisticsMcMaster University Hamilton Hall, Room 218 1280 Main Street West Hamilton, Ontario, Canada L8S 4K1
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