# Staff profile

## John Hunton

Deputy Head of Department, Professor, Topology

PhD University of Cambridge

Affiliation | Room number | Telephone |
---|---|---|

Deputy Head of Department, Professor, Topology in the Department of Mathematical Sciences | MCS2031 |

### Research interests

- Algebraic Topology
- Aperiodic Tilings
- Topological Dynamics

### Research groups

- Pure Mathematics
- Pure Mathematics: Topology

### Esteem Indicators

- 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*

- Member, ;
- JOURNAL, BOOKS AND LEARNED SOCIETY ENGAGEMENT: Since 2013 I have managed the Journals and Book Series published by the main UK Learned Society for Mathematics, the
. These include*London Mathematical Society (LMS)***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 A*merican 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 is 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.

- PUBLIC ENGAGEMENT: Selected presenter,
**Royal Society Summer Science Exhibition**2009Selected presenter,

**EPSRC**exhibition 2010**How****?**Contributor

**Numberphile***YouTube*channelPlenary speaker,

**Trinity Mathematical Society Centenary Symposium**, 2019 - 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*, hosted August^{st}Summer Conference on Topology and its Applications**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**.

- Panel chair at round table discussion on Mathematics Publishing for ECR’s at the

### Publications

Chapter in book

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.

Journal Article

- Hunton, J R & Walton, J J (2021). Aperiodicity, rotational tiling spaces and topological space groups.
*Advances in Mathematics***388**: 107855. - 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). Topological Invariants for Projection Method Patterns.
*Memoirs of the American Mathematical Society***159**(758): i-x, 1-120. - 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). Cohomology of canonical projection tilings.
*Communications in Mathematical Physics***226**: 289-322. - 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 (1998). The complex oriented cohomology of extended powers.
*Annales de l'Institut Fourier***48**(2): 517-534. - 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 R & Turner, P R (1998). Coalgebraic algebra.
*Journal of Pure and Applied Algebra***129**: 297-313. - Hunton, J & Ray, N (1995). A rational approach to Hopf rings.
*Journal of Pure and Applied Algebra***101**: 313-333. - Hunton, J (1995). The Boardman homomorphism.
*Contemporary Mathematics***181**: 251-262. - Hopkins, M J & Hunton, J R (1995). On the structure of spaces representing a Landweber exact cohomology theory.
*Topology***34**(1): 29-36. - 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.