Topology
Funds algebraic and geometric topology — homotopy theory, K-theory, knots, manifolds, quantum field theories and topological data analysis.
NSF's Topology programme funds a wide slice of the field.
On the algebraic side: chromatic, equivariant, motivic and both stable and unstable homotopy; homology and cohomology theories; bordism and K-theory. On the geometric side: topological manifolds, knots and links, geometric topology, differential topology and transformation groups. And a set of areas that sit between topology and other fiel…
Algebraic and geometric topology — chromatic, equivariant, motivic and stable and unstable homotopy, homology and cohomology, bordism and K-theory, topological manifolds, knots and links, geometric and differential topology, transformation groups, topological quantum field theories, contact and symplectic structures, infinity and model categories, and topological data analysis.
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