Professor Stephen Power

Professor of Pure Mathematics

Research Interests

Finite and infinite bar-joint frameworks

Functional Analysis

Operator Algebras, Limit Algebras, Operator Theory

String-node nets and meshes
Power, S.C., Schulze, B. 27/09/2017 In: Discrete and Computational Geometry. 28 p.
Journal article

Elementary proofs of Kempe universality
Power, S.C. 25/04/2017 In: Mathematical Proceedings of the Royal Irish Academy.
Journal article

Commutants of weighted shift directed graph operator algebras
Levene, R., Kribs, D., Power, S.C. 21/02/2017 In: Proceedings of the American Mathematical Society. 145, p. 3465-3480. 16 p.
Journal article

The generic rigidity of triangulated spheres with blocks and holes
Cruickshank, J., Kitson, D., Power, S. 01/2017 In: Journal of Combinatorial Theory, Series B. 122, p. 550-577. 28 p.
Journal article

The operator algebra generated by the translation, dilation and multiplication semigroups
Kastis, L., Power, S. 27/09/2015 In: Journal of Functional Analysis. 269, p. 3316-3335. 19 p.
Journal article

Crystal frameworks, symmetry and affinely periodic flexes
Power, S. 31/07/2014 In: New York Journal of Mathematics. 20, p. 665-693. 28 p.
Journal article

The almost periodic rigidity of crystallographic bar-joint frameworks
Badri, G., Kitson, D., Power, S. 24/04/2014 In: Symmetry. 6, 2, p. 308-328. 21 p.
Journal article

Polynomials for crystal frameworks and the rigid unit mode spectrum
Power, S. 13/02/2014 In: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences . 372, 2008, 29 p.
Journal article

A characterization of generically rigid frameworks on surfaces of revolution
Nixon, A., Owen, J., Power, S. 2014 In: SIAM Journal on Discrete Mathematics. 28, 4, p. 2008-2028. 21 p.
Journal article

Crystal frameworks, matrix-valued functions and rigidity operators
Power, S. 2014 In: Concrete operators, spectral theory, operators in harmonic analysis and approximation. Basel : Springer p. 405-420. 16 p.
Paper

Infinitesimal rigidity for non-Euclidean bar-joint frameworks
Kitson, D., Power, S. 2014 In: Bulletin of the London Mathematical Society. 46, 4, p. 685-697. 13 p.
Journal article

Rigidity of frameworks supported on surfaces
Nixon, A., Owen, J.C., Power, S. 2012 In: SIAM Journal on Discrete Mathematics. 26, 4, p. 1733-1757. 25 p.
Journal article

Operator algebras associated with unitary commutation relations
Power, S., Solel, B. 15/03/2011 In: Journal of Functional Analysis. 260, 6, p. 1583-1614. 31 p.
Journal article

Higher Rank Wavelets
Olphert, S., Power, S. 2011 In: Canadian Journal of Mathematics. 63, p. 689-720. 32 p.
Journal article

Infinite bar-joint frameworks, crystals and operator theory
Owen, J.C., Power, S. 2011 In: New York Journal of Mathematics. 17, p. 445-490. 46 p.
Journal article

Frameworks symmetry and rigidity
Owen, J.C., Power, S. 12/2010 In: International Journal of Computational Geometry and Applications. 20, 6, p. 723-750. 28 p.
Journal article

Manifolds of Hilbert Space Projections.
Levene, R.H., Power, S.C. 03/2010 In: Proceedings of the London Mathematical Society. 100, 2, p. 485-509. 25 p.
Journal article

Dilation theory for rank two graph algebras.
Davidson, K.R., Power, S.C., Yang, D. 2010 In: Journal of Operator Theory. 63, 2, p. 245-270. 26 p.
Journal article

Continuous curves from infinite Kempe linkages.
Owen, J.C., Power, S.C. 12/2009 In: Bulletin of the London Mathematical Society. 41, 6, p. 1105-1111. 7 p.
Journal article

Atomic representations of rank 2 graph algebras.
Davidson, K.R., Power, S.C., Yang, D. 15/08/2008 In: Journal of Functional Analysis. 255, 4, p. 819-853. 35 p.
Journal article

Classifying Higher Rank Toeplitz Operators.
Power, S. 16/08/2007 In: New York Journal of Mathematics. 13, p. 271-298. 28 p.
Journal article

The nonsolvability by radicals of generic 3-connected planar Laman graphs.
Power, S.C., Owen, J.C. 2007 In: Transactions of the American Mathematical Society. 359, 5, p. 2269-2303. 35 p.
Journal article

Subalgebras of groupoid C*-algebras.
Power, S.C., Hopenwasser, A., Peters, J. 2005 In: New York Journal of Mathematics. 11, p. 351-386. 36 p.
Journal article

Reflexivity Of The Translation-Dilation Algebras On L2(ℝ)
Levene, R.H., Power, S.C. 2003 In: International Journal of Mathematics. 14, 10, p. 1081-1090. 10 p.
Journal article

On the uniqueness of AF diagonals in regular limit algebras.
Haworth, P.A., Power, S.C. 10/11/2002 In: Journal of Functional Analysis. 195, 2, p. 207-229. 23 p.
Journal article

Translation and dilation invariant subspaces of L2 (R).
Katavolos, A., Power, S.C. 1/11/2002 In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 2002, 552, p. 101-129. 29 p.
Journal article

Order preserving limits of finite-dimensional nest algebras.
Hopenwasser, A., Power, S.C. 1/07/2002 In: Mathematical Proceedings of the Cambridge Philosophical Society. 133, 1, p. 77-108. 32 p.
Journal article

Approximately finitely acting operator algebras.
Power, S.C. 10/03/2002 In: Journal of Functional Analysis. 189, 2, p. 409-468. 60 p.
Journal article

Algebraic isomorphisms and spectra of triangular limit algebras.
Power, S.C., Donsig, A.P., Pitts, D. 2001 In: Illinois Journal of Mathematics. 50, p. 1131-1147. 17 p.
Journal article

Biquasitriangular operators have strongly irreducible perturbations.
Jiang, C.L., Power, S.C., Wang, Z.Y. 09/2000 In: The Quarterly Journal of Mathematics. 51, 3, p. 353-369. 17 p.
Journal article

Grothendieck group invariants for partly self-adjoint operator algebras.
Power, S.C. 02/2000 In: International Journal of Mathematics. 11, 1, p. 41-64. 24 p.
Journal article

Nest representations of TAF algebras.
Hopenwasser, A., Peters, J.R., Power, S.C. 2000 In: Canadian Journal of Mathematics. 52, 6, p. 1221-1234. 14 p.
Journal article

Relative positions of matroid algebras.
Power, S.C. 10/07/1999 In: Journal of Functional Analysis. 165, 2, p. 205-239. 35 p.
Journal article

The classification of limits of 2n-cycle algebras.
Power, S.C., Donsig, A.P. 1999 In: Indiana University Mathematics Journal. 48, p. 411-427. 17 p.
Journal article

Homology for operator algebras III: partial isometry homotopy and triangular algebras.
Power, S.C. 6/03/1998 In: New York Journal of Mathematics. 4, p. 35-56. 22 p.
Journal article

Completely contractive representations of some doubly generated antisymmetric operator algebras.
Power, S.C. 1998 In: Proceedings of the American Mathematical Society. 126, 8, p. 2355-2359. 5 p.
Journal article

The Fourier binest algebra.
Power, S.C., Katavolos, A. 11/1997 In: Mathematical Proceedings of the Cambridge Philosophical Society. 122, 3, p. 525-539. 15 p.
Journal article

Homology for operator algebras IV: n the regular classifications of limits of 4-cycle algebras.
Power, S.C., Donsig, A.P. 15/10/1997 In: Journal of Functional Analysis. 150, 1, p. 240-287. 48 p.
Journal article

Limits of sums of digraph algebras with reduced digraphs having two vertices.
Power, S.C., Heffernan, D. 1997 In: International Journal of Mathematics. 8, 1, p. 61-82. 22 p.
Journal article

On the C*-envelope of approximately finite-dimensional operator algebras.
Power, S.C., Laurie, C. 1997 In: Mathematica Skandinavika. 80, p. 107-124. 18 p.
Journal article

Lexicographic semigroupoids.
Power, S.C. 04/1996 In: Ergodic Theory and Dynamical Systems. 16, 2, p. 365-377. 13 p.
Journal article

Homology for operator algebras II: stable homology for non-self adjoint algebras.
Power, S.C. 10/01/1996 In: Journal of Functional Analysis. 135, 1, p. 233-269. 37 p.
Journal article

On the Banach space isomorphism type of AF C*-algebras and their triangular subalgebras.
Power, S.C. 1996 In: Israel Journal of Mathematics. 94, p. 93-109. 17 p.
Journal article

The failure of approximate inner conjugacy for standard diagonals in regular limit algebras.
Power, S.C., Donsig, A.P. 1996 In: Canadian Mathematical Bulletin. 39, p. 420-428. 9 p.
Journal article

Homology for operator algebras I: spectral homology for reflexive algebras.
Power, S.C. 1995 In: Journal of Functional Analysis. 131, 1, p. 29-53. 25 p.
Journal article

Infinite lexicographic products of triangular algebras.
Power, S.C. 1995 In: Bulletin of the London Mathematical Society. 27, 3, p. 273-277. 5 p.
Journal article

Tree algebras, semidiscreteness and dilation theory.
Davidson, K.R., Power, S.C., Paulsen, V.I. 1994 In: Proceedings of the London Mathematical Society. 68, 1, p. 178-202. 25 p.
Journal article

On the outer automorphism groups of triangular alternation limit algebras.
Power, S.C. 05/1993 In: Journal of Functional Analysis. 113, 2, p. 462-471. 10 p.
Journal article

Classification of limits of upper triangular matrix algebras.
Power, S.C., Hopenwasser, A.L. 02/1993 In: Proceedings of the Edinburgh Mathematical Society. 36, 1, p. 107-121. 15 p.
Journal article

Compact solutions to an operator equation in nest and CSL algebras.
Power, S.C., Annousis, A., Katsoulis, E. 1993 In: Illinois Journal of Mathematics. 42, p. 283-294. 12 p.
Journal article

Algebraic orders on K0 and approximately finite operator algebras.
Power, S.C. 1992 In: Journal of Operator Theory. 27, 1, p. 87-106. 20 p.
Journal article

Cartan nest algebras of hyperfinite factors.
Mercer, R.E., Power, S.C. 1992 In: Journal of Operator Theory. 27, 1, p. 121-134. 14 p.
Journal article

Classification of semicrossed product algebras.
Power, S.C. 1992 In: Bulletin of the London Mathematical Society. 24, 4, p. 368-372. 5 p.
Journal article

Compact perturbations of certain CSL algebras.
Power, S.C., Katsoulis, E. 1992 In: Proceedings of the American Mathematical Society. 114, 4, p. 1041-1044. 4 p.
Journal article

Finite lattices of projections in factors and approximately finite C*-algebras.
Power, S.C. 1992 In: Canadian Mathematical Bulletin. 35, p. 116-125. 10 p.
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