Whitehouse, Sarah, Professor

Professor Sarah Whitehouse

School of Mathematical and Physical Sciences

Professor of Pure Mathematics

s.whitehouse@sheffield.ac.uk
+44 114 222 3870

J6c, Hicks Building

Full contact details

Professor Sarah Whitehouse
School of Mathematical and Physical Sciences
J6c
Hicks Building
Hounsfield Road
91̽��
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 91̽�� 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

Show: Featured publications All publications

Featured publications

Journal articles

Cirici J, Egas Santander D, Livernet M & Whitehouse S () . Proceedings of the Royal Society of Edinburgh Section A: Mathematics.

All publications

Journal articles

Bergner J, Osorno A & Whitehouse S (2022) . Topology and its Applications, 316, 108098-108098.
Fu X, Guan A, Livernet M & Whitehouse S (2022) . Topology and its Applications.
Mycroft W & Whitehouse S (2021) . Annals of K-Theory, 6(3), 481-502.
Livernet M, Whitehouse S & Ziegenhagen S (2019) . Journal of Pure and Applied Algebra.
Cirici J, Egas Santander D, Livernet M & Whitehouse SA (2018) . Topology and its Applications, 235, 214-268.
Stanley L & Whitehouse S (2015) . Forum Mathematicum, 27(3), 1435-1378.
Roman CIA, Livernet M, Robertson M, Whitehouse S & Ziegenhagen S (2015) . Contemporary Mathematics, 641, 1-27.
Gálvez-Carrillo I & Whitehouse S (2014) . Proceedings of the Edinburgh Mathematical Society.
Livernet M, Roitzheim C & Whitehouse S (2013) . Algebraic and Geometric Topology, 13(1), 409-440.
Roitzheim C & Whitehouse S (2011) . Algebraic and Geometric Topology, 11(1), 107-143.
Hignett AJ & Whitehouse S (2011) Discrete module categories and operations in K-theory. Topology and its Applications.
Strong MJ & Whitehouse S (2010) . Journal of Pure and Applied Algebra, 214(6), 910-918.
Strong M-J & Whitehouse S (2010) . Proceedings of the American Mathematical Society, 138(6), 2221-2233.
Stacey A & Whitehouse S (2009) THE HUNTING OF THE HOPF RING. HOMOL HOMOTOPY APPL, 11(2), 75-132.
Stacey A & Whitehouse S (2008) . ALGEBR GEOM TOPOL, 8(2), 1059-1091.
Clarke F, Crossley M & Whitehouse S (2007) . TOPOLOGY, 46(2), 139-154.
Clarke F & Whitehouse S (2006) . J PURE APPL ALGEBRA, 207(3), 607-617.
Galvez I & Whitehouse S (2005) . MATH Z, 251(3), 475-489.
Clarke F, Crossley M & Whitehouse S (2005) . TOPOLOGY, 44(1), 151-174.
Whitehouse S (2002) . Journal of Algebra, 251(2), 914-926.
ROBINSON A & WHITEHOUSE S (2002) . Mathematical Proceedings of the Cambridge Philosophical Society, 132(2), 197-234.
Whitehouse S (2001) . Journal of Algebraic Combinatorics, 13(3), 317-326.
Crossley MD & Whitehouse S (2001) . Proceedings of the Edinburgh Mathematical Society, 44(1), 19-26.
Whitehouse S (2001) . Communications in Algebra, 29(8), 3351-3363.
Crossley MD & Whitehouse S (2000) . Proceedings of the American Mathematical Society, 128(9), 2809-2818.
Whitehouse S (1997) . Journal of Pure and Applied Algebra, 115(3), 309-320.
Whitehouse S (1996) A counterexample to a conjecture of Barr. Theory and Applications of Categories, 2, 36-39.
Robinson A & Whitehouse S (1996) . Journal of Pure and Applied Algebra, 111(1-3), 245-253.
Whitehouse S & Livernet M () Homotopy theory of spectral sequences. Homology, Homotopy and Applications (HHA).
Clarke F, Crossley MD & Whitehouse S () . K-Theory, 23(3), 237-250.
Cirici J, Egas Santander D, Livernet M & Whitehouse S () . Proceedings of the Royal Society of Edinburgh Section A: Mathematics.

Conference proceedings papers

Robinson A & Whitehouse S (2002) . Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 132(2) (pp 197-234)

Preprints

Livernet M & Whitehouse S (2024) Spectral sequences via linear presheaves, arXiv.
Livernet M & Whitehouse S (2022) , arXiv.
Fu X, Guan A, Livernet M & Whitehouse S (2020) , arXiv.
Livernet M, Whitehouse S & Ziegenhagen S (2018) , arXiv.
Cirici J, Santander DE, Livernet M & Whitehouse S (2018) , arXiv.
Cirici J, Santander DE, Livernet M & Whitehouse S (2016) , arXiv.
Roman CIA, Livernet M, Robertson M, Whitehouse S & Ziegenhagen S (2014) , arXiv.
Livernet M, Roitzheim C & Whitehouse S (2011) , arXiv.
Roitzheim C & Whitehouse S (2009) , arXiv.

Research group

Grants

Past grants, as Principal Investigator
	EPSRC
Rings Defined by Systems of Congruences and Applications in Topology	Leverhulme
	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 91̽�� 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
MAS334	Combinatorics

91̽��

School of Mathematical and Physical Sciences

School of Mathematical and Physical Sciences

Professor Sarah Whitehouse

Featured publications

Journal articles

All publications

Journal articles

Conference proceedings papers

Preprints

Past grants, as Principal Investigator

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