Dr Andrew Tristram (Director of Studies, Pure) is one of the
College's most senior Fellows. His interests lie in knot theory and
he is a keen athlete.
Dr James Norris specializes in the study of Probability and Random
Processes. These are branches of mathematics concerned with predicting
the behaviour of systems subject to uncertainty but where the
uncertainty can be quantified - a simple example would be the outcome
of a series of coin tosses. A more general and rather pervasive class
of examples is known as Markov Chains. See the textbook
Markov Chains (CUP 1998)
for an introductory account. The content of Chapter 1 forms the basis
of a second year course in the Mathematical Tripos.
Dr Norris' research interests cover a wide range of topics ranging
from Brownian motion and stochastic calculus to large systems of interacting
random particles used to model certain physical phenomena.
Dr Christopher Tout (Director of Studies, Applied) came to
Churchill in 2000 to teach mathematics, all aspects of which have been
a life-long interest. Today he specialises in applied mathematics and
theoretical physics which he uses every day in his research as the
John Couch Adams Astronomer at the University's Institute of
Astronomy, situated just beyond the College boundary. The study of the
stars incorporates all aspects of modern mathematical physics from
compressible fluid dynamics through quantum mechanics, relativity,
statistical physics, nuclear physics and even solid state
physics. Ultimately the problems boil down to the solutions to
non-linear partial differential equations from which spring our
understanding of the evolution of stars from their birth in cosmic
clouds, through their youth like the Sun, as middle aged giants and to
old age as white dwarfs, neutron stars or black holes. Dr Tout has
lived on three continents and experienced mathematics taught in a
number of universities throughout the world. Nowhere has he found a
course as comprehensive as this one. It may be more challenging but if
you enjoy mathematics in any form it is well worth it.
Dr Jiannis K. Pachos came to Churchill College in 2003. He works at the
Department of Applied Mathematics and Theoretical Physics on the
subject of Quantum Information and Quantum Computation. With a
particular interest in physical systems and their impact on theoretical
concepts, Dr Pachos is working on various aspects of quantum information,
a topic that aims to understand the possibilities quantum mechanics is
offering for practical implementation such as computing, cryptography
and communication. This field ranges from the study and control of
physical systems with small particles such as atoms or electrons, to the
theoretical development and extensions of information science toward the
Other Mathematician Fellows at Churchill
Dr Graham Allan
Prof Alec Boksenberg
Sir Hermann Bondi
Dr Graham Dixon
Prof Douglas Gough
Prof Geoffrey Grimmett
Dr Graham Allan is actively researching Banach algebras and Fréchet
Prof Alec Boksenberg was formerly Director of the Royal Greenwich
Observatory. He now works at the Institute of
Sir Hermann Bondi is a mathematician and cosmologist who, with Fred Hoyle and Thomas Gold, formulated the
steady-state theory of the Universe. During World War II he worked in the British Admiralty. He served as
Master of Churchill College.
Dr Graham Dixon runs the
Prof Douglas Gough is Director of the Institute of Astronomy. He
is one of the founding fathers of the study of
Prof Geoffrey Grimmett is Head of the Pure Mathematics Department.
His research interests are in probability theory,
combinatorial theory, stochastic models in
statistical physics and probabilistic number theory.
Preparing for Entertainment after a Mathematicians' Dinner
Churchill admits about sixteen undergraduates each year to read Mathematics,
Mathematics with Physics or Mathematics with Computer Science. Candidates
are normally taking Mathematics and Further Mathematics though the
course is accessible to candidates with only single-subject mathematics.
In such cases the study of extra further mathematics modules is an advantage to those only
able to take a single mathematics course.
The University Mathematics course covers pure and applied mathematics
and statistics, including applications of mathematics to physics, to decision-making
processes, to financial modelling and to numerical techniques for computation.
It is the course for prospective academic mathematicians but it is
by no means only for them. Its graduates go into both academic and industrial
research, into the computing industry and the financial world, into teaching,
into management and administration, and many other careers.
The course is among the most demanding undergraduate mathematics courses
in the world. If you want to learn as much as possible of mathematics
and all its applications and are prepared to work hard to do so, then Churchill
is the place for you. If you enjoy mathematics, we hope you will apply
to us. We look forward to teaching you in due course.
This course provides an alternative way of specialising in theoretical
physics to those provided by the Mathematics and Natural Sciences courses
on their own. It is a distinct course only in the first year. After that,
its students may transfer into the Natural Sciences course to specialise
in physics. The first year combines material from both the Mathematics
and the Natural Sciences (Physics) courses, about three-quarters being
from the Mathematics course. Further mathematics is provided instead of
experimental sciences that form a part of the first year Natural Sciences
with Computer Science
This course provides an alternative way of specialising in Computer Science
to that provided by the Computer Science course on its own. It is a distinct
course only in the first year. After that, its students may transfer into
the full Computer Science course. The first year combines material from
both the Mathematics and the Computer Science courses, about three-quarters
taken from Mathematics.
An aerial photograph of the new University Mathematics buildings. The
lower road running from left to right is Madingley Road and the residential
courts in the immediate foreground are those of Churchill College.
So you can't get much closer to the department than Churchill if you
want to study Mathematics.
to the index of courses available at Churchill.