# Topology

The work of the Topology group is focused on stable homotopy theory,
and equivariant versions for spectra with action of a compact Lie group.
One major theme is elliptic cohomology, which has rich connections
with the work of the Number Theory group. Another theme involves the
commutative algebra of generalised cohomology rings, particularly in
an equivariant context, which again interacts strongly with the
Algebra group.

A third body of work involves the categorical foundations of homotopy theory, in terms of model categories and their derived categories (which are often triangulated). The group has worked extensively on highly structured ring spectra and their modules, which also fall under this heading.

A third body of work involves the categorical foundations of homotopy theory, in terms of model categories and their derived categories (which are often triangulated). The group has worked extensively on highly structured ring spectra and their modules, which also fall under this heading.

Group home page

## Members

Academic staff | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Prof Tom Bridgeland FRS | J18B | 23747 | T.Bridgeland | vcard | Algebraic geometry and mirror symmetry |

Dr Paul Johnson | J6b | 23775 | Paul.Johnson | vcard | Algebraic Geometry, Combinatorics |

Dr Paul Mitchener | J20 | 23858 | P.Mitchener | vcard | $C^\ast$-categories, Analytic and algebraic $K$-theory, Assembly maps, Coarse Geometry |

Prof Ieke Moerdijk | J13 | 23843 | i.moerdijk@uu.nl | vcard | Algebraic and differential topology, category theory |

Prof Neil Strickland | J26 | 23852 | N.P.Strickland | vcard | Algebraic topology, formal group theory |

Prof Markus Szymik | M.Szymik | vcard | |||

Prof Sarah Whitehouse | J6c | 23870 | S.Whitehouse | vcard | Algebraic topology |

Dr Simon Willerton | J19 | 23823 | S.Willerton | vcard | quantum topology, algebraic topology, category theory, metric spaces |

Teaching fellows | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Dr Fionntan Roukema | K09 | 23872 | F.Roukema | vcard | Low dimensional topology, Dehn surgery, knot theory. |

Teaching assistants | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Daniel Graves | J25 | D.Graves | vcard |

Postgraduate students | |||||
---|---|---|---|---|---|

Name | Office | Phone | VCard | ||

Malak Alotaibi | MSDAlotaibi1 | vcard | Algebraic Topology | ||

Bradley Ashley | BNAshley1 | vcard | Algebraic Coarse Geometry, Category Theory | ||

James Brotherston | J25 | JABrotherston1 | vcard | Algebraic topology | |

Andrew Fisher | AFisher1 | vcard | Algebraic topology | ||

Neil Hansford | J18a | NDHansford1 | vcard | Functional analysis, algebraic topology | |

Oliver House | OHouse1 | vcard | |||

Mr Joseph Martin | J14a | JMartin13 | vcard | Equipments | |

Miss Eve Pound | J14a | EPound1 | vcard | ||

Leyna Watson May | LWatsonMay1 | vcard | |||

Mr Yirui Xiong | J14a | YXiong20 | vcard |