# 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

### 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)
- GonĂ§alo 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**:

*under construction*

### Activities

During term time we run:

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