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

Members

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

Staff:

• 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:

• Dhruva Divate
• Marco La Vecchia
• Hannah MacDermott
• Daniel Marlowe
• Paul Pantea
• Thomas Peirce
• Julie Rasmusen
• Thomas Read
• Andrew Ronan
• Sunny Sood
• David Tintinago-Pinzon

Alumni:

Activities

During term time we run:

• the weekly Algebraic Topology seminar
• specialized working groups on varying themes; currently on chromatic homotopy theory