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Professor Stephen Power

Professor of Pure Mathematics

  1. 2020
  2. Published

    Non-Euclidean braced grids

    Power, S., 31/10/2020, In: Mathematical Proceedings of the Royal Irish Academy. 120A, 2, p. 43-57 15 p., PRIA.2020.120.06.

    Research output: Contribution to journalJournal articlepeer-review

  3. Published

    Isotopy classes for 3-periodic net embeddings

    Power, S., Baburin, I. & Proserpio, D., 1/05/2020, In: Acta Crystallographica Section A: Foundations and Advances. 76, 3, p. 275-301 27 p.

    Research output: Contribution to journalJournal articlepeer-review

  4. Published

    Double-distance frameworks and mixed sparsity graphs

    Nixon, A. & Power, S., 31/03/2020, In: Discrete and Computational Geometry. 63, 2, p. 294-318 25 p.

    Research output: Contribution to journalJournal articlepeer-review

  5. 2019
  6. Published

    Coboundary operators for infinite frameworks

    Kastis, E., Kitson, D. & Power, S., 4/11/2019, In: Mathematical Proceedings of the Royal Irish Academy. 119A, 2, p. 93-110 18 p.

    Research output: Contribution to journalJournal articlepeer-review

  7. Published

    Algebraic spectral synthesis and crystal rigidity

    Kastis, E. M. & Power, S. C., 1/11/2019, In: Journal of Pure and Applied Algebra. 223, 11, p. 4954-4965 12 p.

    Research output: Contribution to journalJournal articlepeer-review

  8. Published

    The rigidity of a partially triangulated torus

    Cruickshank, J., Kitson, D. & Power, S. C., 1/05/2019, In: Proceedings of the London Mathematical Society. 118, 5, p. 1277-1304 31 p.

    Research output: Contribution to journalJournal articlepeer-review

  9. 2018
  10. Published

    The rigidity of infinite graphs

    Kitson, D. & C. Power, S., 10/2018, In: Discrete and Computational Geometry. 60, 3, p. 531-557 27 p.

    Research output: Contribution to journalJournal articlepeer-review

  11. Published

    String-node nets and meshes

    Power, S. C. & Schulze, B., 01/2018, In: Discrete and Computational Geometry. 59, 1, p. 31-58 28 p.

    Research output: Contribution to journalJournal articlepeer-review

  12. 2017
  13. Published

    Elementary proofs of Kempe universality

    Power, S. C., 1/05/2017, In: Mathematical Proceedings of the Royal Irish Academy. 117A, 1, p. 23-37 15 p.

    Research output: Contribution to journalJournal articlepeer-review

  14. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  15. Published

    Commutants of weighted shift directed graph operator algebras

    Levene, R., Kribs, D. & Power, S. C., 2017, In: Proceedings of the American Mathematical Society. 145, p. 3465-3480 16 p.

    Research output: Contribution to journalJournal articlepeer-review

  16. 2015
  17. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  18. 2014
  19. Published

    Crystal frameworks, symmetry and affinely periodic flexes

    Power, S., 31/07/2014, In: New York Journal of Mathematics. 20, p. 665-693 28 p.

    Research output: Contribution to journalJournal articlepeer-review

  20. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  21. Published

    Polynomials for crystal frameworks and the rigid unit mode spectrum

    Power, S., 13/02/2014, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 372, 2008, 29 p., 20120030.

    Research output: Contribution to journalJournal articlepeer-review

  22. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  23. Published

    Crystal frameworks, matrix-valued functions and rigidity operators

    Power, S., 2014, Concrete operators, spectral theory, operators in harmonic analysis and approximation: 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011. Boiso, M. C., Hedenmalm, H., Kaashoek, M. A., Rodríguez, A. M. & Treil, S. (eds.). Basel: Springer, p. 405-420 16 p. (Operator Theory: Advances and Applications; vol. 236).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  24. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  25. 2012
  26. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  27. 2011
  28. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  29. Published

    Higher Rank Wavelets

    Olphert, S. & Power, S., 2011, In: Canadian Journal of Mathematics. 63, p. 689-720 32 p.

    Research output: Contribution to journalJournal articlepeer-review

  30. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  31. 2010
  32. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  33. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  34. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  35. 2009
  36. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  37. 2008
  38. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  39. 2007
  40. Published

    Classifying Higher Rank Toeplitz Operators.

    Power, S. C., 16/08/2007, In: New York Journal of Mathematics. 13, p. 271-298 28 p.

    Research output: Contribution to journalJournal articlepeer-review

  41. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  42. 2005
  43. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  44. 2003
  45. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  46. 2002
  47. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  48. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  49. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  50. Published

    Approximately finitely acting operator algebras.

    Power, S. C., 10/03/2002, In: Journal of Functional Analysis. 189, 2, p. 409-468 60 p.

    Research output: Contribution to journalJournal articlepeer-review

  51. 2001
  52. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  53. 2000
  54. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  55. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  56. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  57. 1999
  58. Published

    Relative positions of matroid algebras.

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

    Research output: Contribution to journalJournal articlepeer-review

  59. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  60. 1998
  61. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  62. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  63. 1997
  64. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  65. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  66. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  67. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  68. 1996
  69. Published

    Lexicographic semigroupoids.

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

    Research output: Contribution to journalJournal articlepeer-review

  70. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  71. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  72. Published

    The failure of approximate inner conjugacy for standard diagonals in regular limit algebras.

    Power, S. C. & Donsig, A. P., 1996, In: Bulletin of the Canadian Mathematical Society. 39, p. 420-428 9 p.

    Research output: Contribution to journalJournal articlepeer-review

  73. 1995
  74. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  75. Published

    Infinite lexicographic products of triangular algebras.

    Power, S. C., 1995, In: Bulletin of the London Mathematical Society. 27, 3, p. 273-277 5 p.

    Research output: Contribution to journalJournal articlepeer-review

  76. 1994
  77. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  78. 1993
  79. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  80. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  81. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  82. 1992
  83. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  84. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  85. Published

    Classification of semicrossed product algebras.

    Power, S. C., 1992, In: Bulletin of the London Mathematical Society. 24, 4, p. 368-372 5 p.

    Research output: Contribution to journalJournal articlepeer-review

  86. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

  87. Published

    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.

    Research output: Contribution to journalJournal articlepeer-review

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