Professor Sarah Whitehouse

School of Mathematics and Statistics

Professor

S.Whitehouse@shef.ac.uk
+44 114 222 3870

Full contact details

Professor Sarah Whitehouse
School of Mathematics and Statistics
J6c
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Profile

I obtained my Ph.D. from the University of Warwick in 1994, following a B.Sc. (1990) and M.Sc. (1991) also from Warwick. I spent several years in France, as a Marie Curie post-doctoral researcher at the Université Paris 13 and as a Maître de Conférences at Lens, before coming to Sheffield in 2002.

Research interests

In algebraic topology we use algebra to extract topological or geometric information about spaces. Among the standard tools used to carry out the translation from topology to algebra are generalised cohomology theories. Given such a theory there is an associated algebra of operations, carrying a wealth of structure and information. Prof Whitehouse is particularly interested in studying the structure and properties of these algebras.

A simple, yet still interesting example, is given by complex K-theory. This theory has a strong geometric flavour and yet there is a rich interplay with other areas, such as number theory.

The interplay between topology and algebra leads to ``up to homotopy'' versions of algebraic structures. Prof Whitehouse is interested in A-infinity and E-infinity algebras, arising when one weakens associativity and commutativity conditions.

Publications

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Journal articles

All publications

Journal articles

Research group

Topology

Grants

Past grants, as Principal Investigator

Rigidity Theorems in Stable Homotopy Theory EPSRC
Rings Defined by Systems of Congruences and Applications in Topology Leverhulme
Stable and Unstable Operations in Higher K-Theory EPSRC
Teaching interests

I am an enthusiastic lecturer with wide experience of undergraduate teaching at all levels. For many years I have taught a popular level 3 Combinatorics module. Other courses I have taught in Sheffield include Algebraic Topology and Groups and Symmetries. Prior lecturing experience includes courses on Metric Spaces and Measure and Integration.I very much enjoy supervising project work. Level 4 MMath project topics I have supervised include Aperiodic Tilings, Integer Vauled Polynomials and Integer Partitions.

Teaching activities
MAS221 Analysis