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Algebraic Topology

Algebraic Topology

Various areas of algebraic topology that are represented at Warwick include:

  • homotopy theory in different contexts: classical, equivariant, motivic
  • abstract homotopy theory: homotopical algebra, derived categories, tensor-triangular geometry
  • particular cohomology theories: equivariant theories, K-theory, motivic cohomology, Grothendieck-Witt, non-commutative motives


The algebraic topology group at Warwick has been growing steadily in the past years.


  • Emanuele Dotto (algebraic topology, homotopy theory, algebraic K-theory, equivariant homotopy theory)
  • Martin Gallauer (algebraic geometry & algebraic topology, motivic theory, tensor-triangular geometry, homotopy theory, rigid-analytic geometry, modular representation theory)
  • John Greenlees (algebraic topology, homotopy theory, equivariant cohomology theories, derived categories and commutative algebra)
  • Marco Schlichting (algebraic K-theory and higher Grothendieck-Witt groups of schemes; A^1-homotopy theory and motivic cohomology; derived categories, algebraic topology and algebraic geometry)
  • Gonçalo Tabuada (algebraic topology, noncommutative algebraic geometry, K-theory, motives, homological/homotopical algebra)

Postdoctoral researchers:

  • Matteo Barucco (equivariant elliptic cohomology, algebraic models)

Graduate students:


under construction


During term time we run: