**John
Hunton's WebPage **

Department
of Mathematical Sciences

Durham University

Science
Laboratories

South Road

Durham, DH1 3LE

United Kingdom

Telephone: ++44 (0) 191 334 3050

Email: john.hunton@durham.ac.uk

**A
brief history**

I joined Durham as a Professor in Pure Mathematics in September 2013, having been Professor at the University of Leicester. I was an undergraduate and PhD student at the University of Cambridge, where I was also a Research Fellow at Trinity College. In between I held Fellowships or other positions at the Universities of Manchester, Edinburgh and St Andrews. I grew up in Liverpool.

**Research
**My
main research interests lie at the interface of Algebraic
Topology, Dynamical Systems and Noncommutative Geometry, particularly
in the way they interact in the study of Aperiodically Ordered
Patterns and Tilings.

A powerful tool used to study the geometry of aperiodic patterns is a method of passing from a given pattern to a certain associated moduli space equipped with a dynamical action of one of the Euclidean groups or their subgroups. This setup is then amenable to study from both topological and dynamical perspectives, but in turn can also be used as an important class of examples of dynamical systems.

I also have continuing interests in classical algebraic topology, for example in the modeling of infinite loop spaces and their applications, particularly to representation theory, group cohomology and unstable Adams spectral sequences.

**Teaching** Over
the last few years with colleagues I have developed and become a keen
advocate of a problem based learning component in undergraduate maths
degrees. This has included the development of a handcrafted "UK"
version of the American Moore Method approach. Not only has this
proved highly popular, but it also makes a significant contribution
to the development of students' abilities to read, write and think
about mathematics in a serious and professional manner. If you're
interested to know more, then do get in touch.

**Outside**

I
have served as a Member of Council of the **London
Mathematical Society** since
2011, first as a Member-at-Large, and, since 2013, as Publications
Secretary, the Society's
Officer
with oversight of the **LMS publications**
activities.
I had previously bee the Editorial Advisor to the LMS on K-theory and
Algebraic Topology.

Since
1999 I have served on the **EPSRC** College
and was a member of the EPSRC Strategic Advisory Team for the
Mathematical Sciences 2010-2013.

I
am a member of the Scientific Steering Committee of the **British
Mathematical Colloquia**,
and was chair of the 2011 BMC, held in Leicester.

In
the current climate it seems crucial that mathematics, in particular
pure maths, is visible and works to explain its importance to society
at large. Our exhibition **How**
**do
shapes fill space?**
was
selected by the **Royal
Society**
for
its **Summer
Science Exhibition**
in
2009, has subsequently toured a number of science festivals and has
be made into a sequence of Masterclasses at the Royal Institution.

Here
are some contributions on numbers with interesting geometric or
topological properties I have made to
**Brady
Haran'**s
**Numberphile**
series
on YouTube: look at **Five**
for
some chat on tiling problems and quasicrystals, and see **Three**
for
some shots of Borromean Rings.

The
process of making mathematics tangible to the non-mathematician has
also led me to both train as a silversmith (see the **Borromean**
**Rings**
video
for an example) and self-train to work with real tiles, not just
pencil and paper ones; **here**
is
a part of the aperiodic Ammann-Beenker tiling (a irrational slice of
a regular tessellation of euclidean 4-space by cubes) progressing up
a kitchen wall in Nottiinghamshire. A number of my students have
also become interested in the process of physically creating
representations of mathematical objects: see **here** for
Claire Irving's knitting and crochet patterns for projective spaces,
which made the front cover of the *Math
Gazette*.