Research interests

 Rigid and flexible frameworks, finite and infinite
 Functional Analysis
 Operator Algebras, Limit Algebras and Subalgebras of C*-algebras
 Operator Theory and Hankel Operators
 Recent papers on the preprint ArXiv


 Lancaster Workshop on Bond-node structures: rigidity, combinatorics and chemistry, Mon 4th- Wed 6th June 2018
 Lancaster Workshop on Bond-node structures: rigidity, combinatorics and materials science, Wed 7th-Friday 9th June 2017
 Lancaster Workshop on Geometric Rigidity, Sunday 5th-Tuesday 7th June 2016
 ICMS Workshop:Geometric Rigidity Theory and Applications, May 30, 2016 - Jun 03, 2016
 Geometric Rigidity One Day Workshop, 10th-11th June, 2015
 Geometric Rigidity One Day Workshop, 5th June, 2014
 Proceedings of the Royal Society Workshop on "Periodic structures in nature and engineering", February 2014
 Kavli RS meeting photo   more photos
 LMS Workshop at Lancaster, 12-15th July 2010: Rigidity of Frameworks and Applications
 Faculty Lecture 15th Dec. 2009, Geometric Constraint System Stories: Evariste Galois, CAD and Crystallography


  Report on EPSRC grant EP/J008648/1: Crystals Frameworks, Operator Theory and Combinatorics" : preliminary report

  Report on 2006-2008 EPSRC grant EP/E002625/1: Dilations and Higher Rank Operator Algebras  : August 2008 report

  A Gallery of Infinite Frameworks (barely in progress)


*** New, for board game lovers *** :

 Crystal Hall facebook page

*** New Science: Eco-learning *** :

 What can ecosystems learn ? Expanding evolutionary ecology with learning theory. Daniel Power et al, 2015

 Also, New Scientist cover story, March 2016 (and page 38 inset)

 Some of my papers :


  (with G. Badri, D. Kitson) The almost periodic rigidity of crystallo-graphic bar-joint frameworks, Symmetry 6 (2014),  308-328. 
  (with J.C. Owen)  Crystal frameworks, symmetry and affinely periodic flexes, NYJM 20 (2014) 665-693
  (with J.C. Owen) Infinite bar-joint frameworks, crystals and operator theory, NYJM 17 (2011) 445-490
  (with J.C. Owen) Continuous curves from infinite Kempe linkages, Bull. LMS 2009 ; doi: 10.1112/blms/bdp087
  (with J.C. Owen) Infinite bar-joint frameworks
  (with R. Levene)  Manifolds of Hilbert space projections, Proc. LMS 2009; doi: 10.1112/plms/pdp035


 Other Links:

 Research articles from 2000
 Research articles 1990-1999...., my books, miscellany
 Research articles pre 1990
 Until recently I was editorial advisor for the Bulletin, Journal and  Proceedings of the London Mathematical Society 
  and the Editorial Board of the Journal of Mathematical Analysis and Applications 






 
 Department Numbers:
Tel +44 (0)1524 59 3960
Fax +44 (0)1524 59 2681
 
 Department of Mathematics and Statistics home page of Lancaster University