Staff profile

• Algebraic Topology
• Aperiodic Tilings
• Topological Dynamics

• 2000: JOURNAL, BOOKS AND LEARNED SOCIETY ENGAGEMENT: From 2013 to 2021 I managed the Journals and Book Series published by the main UK Learned Society for Mathematics, the London Mathematical Society (LMS). These included
  • Proceedings, Journal, Bulletin and Transactions of the London Mathematical Society
  • The Journal of Topology
  • Compositio Mathematica (published on behalf of the Compositio Foundation)
  • Nonlinearity (published jointly with the Institute of Physics)
  • Mathematika (published on behalf of its owners, UCL)
  • Transactions of the Moscow Mathematical Soceity (English translation, published jointly with the Moscow Mathematical Society and the American Mathematical Society)
  • Izvestiya, Sbornik and Russian Mathematical Surveys (English translation, published jointly with the Russian Academy of Sciences and Turpion)
  • LMS Lecture Notes in Mathematics
  • LMS Student Texts
    

  My work was to lead on setting the publishing strategy, management of the contracts, oversight and appointment of editorial boards, and liaison with the publishing partners, including the commercial partners CUP, Wiley and IOPP with whom the Society contracts production, distribution and marketing.

  The Journals and Book Series operation of the LMS has a turnover of c.£2M per annum and all proceeds go to the charity. Like many UK Learned Societies, the income from these publications is critical to the funding of the Society, and underpins the grants it awards to Mathemticians. Publications funding also contributes to, amongst others, the running of Society meetings, the Popular Lectures, and policy work to engage with Government regarding mathematics education and funding for the mathematics people pipeline, in particular for mathematics research.

• 2000: PUBLIC ENGAGEMENT: Selected presenter, Royal Society Summer Science Exhibition 2009

  Selected presenter, EPSRC How? exhibition 2010

  Contributor Numberphile YouTube channel

  Plenary speaker, Trinity Mathematical Society Centenary Symposium, 2019

• 2000: RECENT INVITED TALKS, ETC:
  • Panel chair at round table discussion on Mathematics Publishing for ECR’s at the 7^th European Congress of Mathematics, Berlin 2016.

  • Plenary lecturer Dynamical Systems for Aperiodicity January 2016, Université Claude Bernard Lyon 1, Lyon, France.

  • Invited series of lectures, 31^st Summer Conference on Topology and its Applications, hosted August 2016 by University of Leicester.

  • Plenary lecturer Topology and Dynamics conference, Leverhulme network, University of Leicester January 2017.

  • Plenary speaker, Oberwolfach workshop Spectral Structures and Topological Methods in Mathematical October 2017

  • Plenary speaker, Model Sets and Aperiodic Order, Durham, September 2018.

  • Plenary lecturer, 6 hours at Winter School on Tilings and Foliations, Santiago do Compostela, February 2019.

  • Invited Speaker, Annual Meeting of the Chinese Mathematical Society, Guangzhou, November 2019.
• 2000: EXTERNAL ENGAGEMENT:
  • Member, UKRI Future Leaders Fellowships Peer Review College
  • Member, UKRI New Horizons Review College
  • Member, EPSRC College, since 1999
  • Member, EPSRC Mathematical Sciences Strategic Advisory Team, 2010-2013
  • Chair and or member, EPSRC Fellowship, Programme, Doctoral Training and Standard Grant prioritisation panels, 2003, 2006, 2008, 2009, 2010, 2015, 2016, 2017, 2018, 2019, 2021
  • Trustee, London Mathematical Society, 2011-2021
  • Publications Officer, London Mathematical Soceity, 2013-2021
  • External Examiner (research degrees) Oxford, Lyon, Manchester, Sheffield, Leicester, Glasgow, Rabat, Southampton, Wuppertal
  • External Examiner (taught degrees) Manchester Unviersity (2002-6), Swansea Universlty (2006-11), Sheffield Universtiy (2012-16), Heriot-Watt University (2015-19), Oxford University (2021- )
  • Chair, British Mathematical Colloquium 2011
  • Member, National Scientific Steering Committee, British Mathematical Colloquia 2008-17
  • Witness contributing to Burgess report on RCUK Open Access policy, 2014
  • Member, scientific advisory board for Deloitte’s work The Economic Benefits of Mathematical Sciences Research in the UK

Chapter in book

• Spaces of Projection Method Patterns and their Cohomology
  
  Hunton, J. (2015). Spaces of Projection Method Patterns and their Cohomology. In J. Kellendonk, D. Lenz, & J. Savinien (Eds.), Mathematics of aperiodic order. (pp. 105-135). Birkhäuser. https://doi.org/10.1007/978-3-0348-0903-0_4

Conference Paper

• Topological Invariants for Tilings
  
  Hunton, J. (2017). Topological Invariants for Tilings (M. Baake, D. Damanik, J. Kellendonk, & D. Lenz, Eds.). European Mathematical Society. https://doi.org/10.4171/owr/2017/46
• Cohomology groups for projection point patterns
  
  Forrest, A., Hunton, J., & Kellendok, J. (2001). Cohomology groups for projection point patterns. Presented at XIII International Congress of Mathematical Physics, London.

Journal Article

• Aperiodicity, rotational tiling spaces and topological space groups
  
  Hunton, J., & Walton, J. (2021). Aperiodicity, rotational tiling spaces and topological space groups. Advances in Mathematics, 388, Article 107855. https://doi.org/10.1016/j.aim.2021.107855
• Chaotic Delone Sets
  
  Alvarez Lopez, J. A., Barral Lijo, R., Hunton, J., Nozawa, H., & Parker, J. R. (2021). Chaotic Delone Sets. Discrete and Continuous Dynamical Systems - Series A, 41(8), 3781-3796. https://doi.org/10.3934/dcds.2021016
• The homology core of matchbox manifolds and invariant measures
  
  Clark, A., & Hunton, J. (2019). The homology core of matchbox manifolds and invariant measures. Transactions of the American Mathematical Society, 371(3), 1771-1793. https://doi.org/10.1090/tran/7398
• Integral cohomology of rational projection method patterns
  
  Hunton, J., Gähler, F., & Kellendonk, J. (2013). Integral cohomology of rational projection method patterns. Algebraic and Geometric Topology, 13(3), 1661-1708. https://doi.org/10.2140/agt.2013.13.1661
• Tiling spaces, codimension one attractors and shape
  
  Hunton, J., & Clark, A. (2012). Tiling spaces, codimension one attractors and shape. New York Journal of Mathematics, 18, 765-796.
• Cohomology of substitution tiling spaces
  
  Hunton, J., Barge, M., Diamond, B., & Sadun, L. (2010). Cohomology of substitution tiling spaces. Ergodic Theory and Dynamical Systems, 30(06), 1607-1627. https://doi.org/10.1017/s0143385709000777
• Coverings, the graded centre and Hochschild cohomology
  
  Hunton, J., Green, E., & Snashall, N. (2008). Coverings, the graded centre and Hochschild cohomology. Journal of Pure and Applied Algebra, 212(12). https://doi.org/10.1016/j.jpaa.2008.05.006
• Integer Cech cohomology of icosahedral projection tilings
  
  Gähler, F., Hunton, J. R., & Kellendonk, J. (2008). Integer Cech cohomology of icosahedral projection tilings. Zeitschrift für Kristallographie, 223(11-12). https://doi.org/10.1524/zkri.2008.1070
• The K-Theory of C*-Algebras with Finite Dimensional Irreducible Representations
  
  Hunton, J., & Shchukin, M. (2006). The K-Theory of C*-Algebras with Finite Dimensional Irreducible Representations. Integral Equations and Operator Theory, 54(1). https://doi.org/10.1007/s00020-004-1346-0
• Subalgebras of group cohomology defined by infinite loop spaces
  
  Hunton, J., & Schuster, B. (2005). Subalgebras of group cohomology defined by infinite loop spaces. Topology, 44(4), 689-704. https://doi.org/10.1016/j.top.2005.01.003
• ON THE COALGEBRAIC RING AND BOUSFIELD–KAN SPECTRAL SEQUENCE FOR A LANDWEBER EXACT SPECTRUM
  
  Bendersky, M., & Hunton, J. R. (2004). ON THE COALGEBRAIC RING AND BOUSFIELD–KAN SPECTRAL SEQUENCE FOR A LANDWEBER EXACT SPECTRUM. Proceedings of the Edinburgh Mathematical Society, 47(3), 513-532. https://doi.org/10.1017/s0013091503000518
• Chromatic characteristic classes in ordinary group cohomology
  
  Green, D., Hunton, J., & Schuster, B. (2003). Chromatic characteristic classes in ordinary group cohomology. Topology, 42(1), 243-263. https://doi.org/10.1016/s0040-9383%2802%2900011-3
• Complete cohomology theories and the homology of their omega spectra
  
  Hunton, J. (2002). Complete cohomology theories and the homology of their omega spectra. Topology, 41, 931-943.
• Cohomology of canonical projection tilings
  
  Forrest, A., Hunton, J., & Kellendonk, J. (2002). Cohomology of canonical projection tilings. Communications in Mathematical Physics, 226, 289-322.
• Topological Invariants for Projection Method Patterns
  
  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.
• Extensions of umbral calculus II: double delta operators, Leibniz extensions and Hattori-Stong theorems
  
  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.
• The cohomology and K-theory of commuting homeomorphisms of the Cantor set
  
  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.
• The homology of spaces representing exact pairs of homotopy functors
  
  Hunton, J., & Turner, P. (1999). The homology of spaces representing exact pairs of homotopy functors. Topology, 38(3), 621-634.
• Coalgebraic algebra
  
  Hunton, J., & Turner, P. (1998). Coalgebraic algebra. Journal of Pure and Applied Algebra, 129, 297-313.
• Higher v_n torsion in Lie groups
  
  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.
• The complex oriented cohomology of extended powers
  
  Hunton, J. (1998). The complex oriented cohomology of extended powers. Annales De l’Institut Fourier, 48(2), 517-534.
• On the structure of spaces representing a Landweber exact cohomology theory
  
  Hopkins, M., & Hunton, J. (1995). On the structure of spaces representing a Landweber exact cohomology theory. Topology, 34(1), 29-36.
• The Boardman homomorphism
  
  Hunton, J. (1995). The Boardman homomorphism. Contemporary Mathematics., 181, 251-262.
• A rational approach to Hopf rings
  
  Hunton, J., & Ray, N. (1995). A rational approach to Hopf rings. Journal of Pure and Applied Algebra, 101, 313-333.
• Continuous Morava K-theory and the geometry of the I_n-adic tower
  
  Baker, A., & Hunton, J. (1994). Continuous Morava K-theory and the geometry of the I_n-adic tower. Mathematica Scandinavica, 75, 67-81.
• Detruncating Morava K-theory
  
  Hunton, J. (1992). Detruncating Morava K-theory. London Mathematical Society Lecture Note Series, 176, 35-43.
• The Morava K-theories of wreath products
  
  Hunton, J. (1990). The Morava K-theories of wreath products. Mathematical Proceedings of the Cambridge Philosophical Society, 107, 309-318.