Professor Neil Strickland

School of Mathematics and Statistics

Professor

Professor Neil Strickland
N.P.Strickland@shef.ac.uk
+44 114 222 3852

Full contact details

Professor Neil Strickland
School of Mathematics and Statistics
J26
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Profile

Neil Strickland was awarded his PhD by the University of Manchester in 1992. He was then a C.L.E. Moore Instructor at the Massachusetts Institute of Technology, then a Research Fellow at Trinity College Cambridge, before moving to Sheffield in 1998. He was awarded the Whitehead Prize of the London Mathematical Society in 2005.

Research interests

Prof Strickland works in stable homotopy theory, a branch of topology in which one studies phenomena that occur uniformly in all sufficiently high dimensions. On the one hand, the subject involves many direct geometrical constructions with interesting spaces such as complex algebraic varieties, coset spaces of Lie groups, spaces of subsets of Euclidean space, and so on. On the other hand, one can use generalised cohomology theories to translate problems in stable homotopy theory into questions in pure algebra, in a strikingly rich and beautiful way. The algebra involved centres around the theory of formal groups, which is essentially a branch of algebraic geometry, although not one of the most familiar branches. It has connections with commutative algebra, Galois theory, the study of elliptic curves, finite and profinite groups, modular representation theory, and many other areas. To translate efficiently between algebra and topology we need to make heavy use of category theory, and this also has applications both on the purely algebraic and the purely topological side, so it forms another significant part of Prof Strickland's research. Students considering research with Prof Strickland are encouraged to consult his personal home page.

Publications

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All publications

Journal articles

Chapters

  • Strickland NP (2004) Axiomatic Stable Homotopy, Axiomatic, Enriched and Motivic Homotopy Theory (pp. 69-98). Springer Netherlands RIS download Bibtex download
  • Strickland NP (1999) Formal schemes and formal groups In Meyer J-P, Morava J & Wilson WS (Ed.), Homotopy Invariant Algebraic Structures: A Conference in Honor of J. Michael Boardman (pp. 263-352). Providence, RI: American Mathematical Society. RIS download Bibtex download
  • Kashiwabara T, Strickland N & Turner P (1996) The Morava $K$-theory Hopf ring for $BP$ In Broto C, Casacuberta C & Mislin G (Ed.), Algebraic Topology: New Trends in Localization and Periodicity: Barcelona Conference on Algebraic Topology, Sant Feliu de Guixols, Spain, June 1-7, 1994 (pp. 209-222). Basel: Birkhäuser. RIS download Bibtex download
  • Strickland NP (1992) On the $p$-adic interpolation of stable homotopy groups, Adams Memorial Symposium on Algebraic Topology, 2 (Manchester, 1990) (pp. 45-54). Cambridge: Cambridge Univ. Press. RIS download Bibtex download

Conference proceedings papers

  • Strickland NP (2004) Axiomatic stable homotopy - a survey. AXIOMATIC, ENRICHED AND MOTIVIC HOMOTOPY THEORY, Vol. 131 (pp 69-98) RIS download Bibtex download

Website content

  • Strickland NP (2012) Tambara Functors. RIS download Bibtex download
Research group

Topology

Grants

Past grants, as Principal Investigator

Symmetric Powers of Spheres EPSRC
Equivariant elliptic cohomology and class field theory EPSRC

Past grants, as Coinvestigator

Higher Structures on Elliptic Cohomology EPSRC
Teaching activities
MAS334 Combinatorics
MAS435 Algebraic Topology