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Durham University

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Staff Profile

John Hunton, PhD University of Cambridge

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Deputy Head of Department, Professor, Topology in the Department of Mathematical Sciences

Contact John Hunton

Research Groups

Department of Mathematical Sciences

  • Pure Mathematics
  • Pure Mathematics: Topology

Research Interests

  • Algebraic Topology
  • Aperiodic Tilings
  • Topological Dynamics

Publications

Chapter in book

  • Hunton, John (2015). Spaces of Projection Method Patterns and their Cohomology. In Mathematics of Aperiodic Order. Kellendonk, J., Lenz, D. & Savinien, J. Birkhäuser Basel. 105-135.

Journal Article

  • Hunton, J R & Walton, J J (Submitted). Aperiodicity, rotational tiling spaces and topological space groups.
  • Alvarez Lopez, Jesus A, Barral Lijo, Ramon, Hunton, John, Nozawa, Hiraku & Parker, John R (Accepted). Chaotic Delone Sets. Discrete and Continuous Dynamical Systems
  • Clark, Alex & Hunton, John (2019). The homology core of matchbox manifolds and invariant measures. Transactions of the American Mathematical Society 371(3): 1771-1793.
  • Hunton, J, Gähler, F & Kellendonk, J (2013). Integral cohomology of rational projection method patterns. Algebraic & Geometric Topology 13(3): 1661-1708.
  • Hunton, J & Clark, A (2012). Tiling spaces, codimension one attractors and shape. New York Journal of Mathematics 18: 765-796.
  • Hunton, J, Barge, M, Diamond, B & Sadun, L (2010). Cohomology of substitution tiling spaces. Ergodic Theory and Dynamical Systems 30(06): 1607-1627.
  • Hunton, J, Green, EL & Snashall, N (2008). Coverings, the graded centre and Hochschild cohomology. Journal of Pure and Applied Algebra 212(12): 2691–2706.
  • Gähler, Franz, Hunton, John R. & Kellendonk, Johannes (2008). Integer Cech cohomology of icosahedral projection tilings. Zeitschrift für Kristallographie 223(11-12).
  • Hunton, John & Shchukin, Mikhail (2006). The K-Theory of C*-Algebras with Finite Dimensional Irreducible Representations. Integral Equations and Operator Theory 54(1): 89.
  • Hunton, J.R. & Schuster, B. (2005). Subalgebras of group cohomology defined by infinite loop spaces. Topology 44(4): 689.
  • Bendersky, Martin & Hunton, John R. (2004). ON THE COALGEBRAIC RING AND BOUSFIELD–KAN SPECTRAL SEQUENCE FOR A LANDWEBER EXACT SPECTRUM. Proceedings of the Edinburgh Mathematical Society 47(3): 513.
  • Green, D.J., Hunton, J.R. & Schuster, B. (2003). Chromatic characteristic classes in ordinary group cohomology. Topology 42(1): 243.
  • Forrest, A, Hunton, J & Kellendonk, J (2002). Cohomology of canonical projection tilings. Communications in Mathematical Physics 226: 289-322.
  • Hunton, J R (2002). Complete cohomology theories and the homology of their omega spectra. Topology 41: 931-943.
  • Forrest, A, Hunton, J & Kellendonk, J (2002). Topological Invariants for Projection Method Patterns. Memoirs of the American Mathematical Society 159(758): i-x, 1-120.
  • Clarke, F, Hunton, J & Ray, N (2001). Extensions of umbral calculus II: double delta operators, Leibniz extensions and Hattori-Stong theorems. Annalesde l' Institut Fourier 51: 297-336.
  • Forrest, A & Hunton, J (1999). The cohomology and K-theory of commuting homeomorphisms of the Cantor set. Ergodic Theory and Dynamical Systems 19: 611-625.
  • Hunton, J R & Turner, P R (1999). The homology of spaces representing exact pairs of homotopy functors. Topology 38(3): 621-634.
  • Hunton, J R & Turner, P R (1998). Coalgebraic algebra. Journal of Pure and Applied Algebra 129: 297-313.
  • Hunton, J, Mimura, M, Nishimoto, T & Schuster, B (1998). Higher v_n torsion in Lie groups. Journal of the Mathematical Society of Japan 50(4): 801-818.
  • Hunton, J (1998). The complex oriented cohomology of extended powers. Annales de l'Institut Fourier 48(2): 517-534.
  • Hunton, J & Ray, N (1995). A rational approach to Hopf rings. Journal of Pure and Applied Algebra 101: 313-333.
  • Hopkins, M J & Hunton, J R (1995). On the structure of spaces representing a Landweber exact cohomology theory. Topology 34(1): 29-36.
  • Hunton, J (1995). The Boardman homomorphism. Contemporary Mathematics 181: 251-262.
  • Baker, A & Hunton, J (1994). Continuous Morava K-theory and the geometry of the I_n-adic tower. Mathematica Scandinavica 75: 67-81.
  • Hunton, J (1992). Detruncating Morava K-theory. London Mathematical Society Lecture Note Series 176: 35-43.
  • Hunton, J (1990). The Morava K-theories of wreath products. Mathematical Proceedings of the Cambridge Philosophical Society 107: 309-318.

Conference Paper

  • Hunton, John (2017), Topological Invariants for Tilings, in Baake, Michael, Damanik, David, Kellendonk, Johannes & Lenz, Daniel eds, 14: Spectral Structures and Topological Methods in Mathematical Quasicrystals. Oberwolfach, Germany, European Mathematical Society, 2814-2817.
  • Forrest, A, Hunton, J & Kellendok, J (2001), Cohomology groups for projection point patterns, XIII International Congress of Mathematical Physics. London, 333-339.