Postgraduate Prospectus 2013 - Swansea University

Mathematics
Research opportunities
PhD, MPhil, MRes, MSc by Research
RAE2008 40% of research rated
world-leading (4*) or internationally
excellent (3*), International Review
Mathematics in the U.K. 2004 and 2010
: Swansea’s probability group contributes
to the world leadership status of the U.K.
in stochastic analysis.
Professors
T Brzezinski
N Jacob
V Liskevich K Zhang
E Lytvynov
F-Y Wang
J-L Wu
Mathematics is both ancient and modern.
Often challenging and always rewarding,
it is the most international of subjects, and
the basis on which the modern world is
built. Science, engineering and business
depend on their mathematical
foundations, and mathematicians
therefore play an essential role in our
society.
Research degrees in Mathematics will:
• provide you with new and specialised
research skills
• prepare you for a career in academic
research and teaching
• equip you with skills relevant for a
rewarding career in a range of diverse
fields
PhD/MPhil/MSc by Research
The Department welcomes research
proposals for postgraduate research
projects that complement staff research
interests (as listed below). Our PhD
programme is based on a three-year
period of supervised study whilst the MPhil
programme comprises a two-year period
of supervised study and the MSc by
Research is a one-year scheme. To ensure
successful research projects students will
normally follow an intensive, initial tutorial
Academic and research staff 18
Postgraduates 30
Entry requirements:
For PhD programmes candidates should
normally have a first-class (minimum 2.1)
Honours degree in Mathematics. For
MPhil and MRes programmes candidates
should normally have an upper second
class Honours degree or higher in
Mathematics (or equivalent).
English Language requirement:
IELTS 6.0 (with a minimum of 5.5 in each
component) or Swansea University
recognised equivalent.
programme with their supervisor and, if
appropriate, will take prescribed courses
during the first year of the programme.
Research students have access to online
resources, typesetting, computational and
general office software from the comfort of
their own desk in the company of other
postgraduate students. The University has
one of the finest mathematics libraries in
the UK, housing an extensive collection of
books and periodicals and the
Department’s Reading Room contains an
impressive collection of research books.
Schools and workshops for postgraduate
students, given by world-class
mathematicians, are offered on a regular
basis and, throughout the year, there are
regular seminars and colloquia given by
staff and visitors to the Department.
Research Strengths
Staff research interests and strengths
encompass:
Stochastic analysis: quantum physics;
functional integrals; stochastic differential
equations and applications; Brownian
motion; statistical mechanics; stochastic
processes; large deviations and
renormalisation group theory; partial
differential equations and applications;
Scholarships and Bursaries
A range of postgraduate scholarships
and bursaries is available. For details,
please visit: www.swansea.ac.uk/
scholarships/Postgraduate
In addition the Department has some
bursaries available, some for fees only,
and all eligible applicants are invited to
apply sometime after the Easter Vacation
prior to the beginning of the programme.
Note that the offer of a place does not
imply any offer of funding.
mathematics of finance; stochastic
delay-differential equations; functional
inequalities; transport problems.
Diffusions, Markov Processes and
Martingales: Stochastic processes and
applications, including applications to
Wiener-Hopf theory; quantum probability
and quantum computing.
Lévy-type Processes and
Pseudo-differential Operators:
Pseudo-differential operators with
continuous negative definite functions as
symbols; Lp-theory of sub-Markovian
semigroups; function spaces related to
Markov processes; fractional derivatives as
generators of jump processes; non-linear
analysis for pseudo-differential operators
generating Markov processes; balayage
theory; mathematics of finance; numerics of
stochastic differential equations with jumps,
intrinsic geometry of jump processes.
Hopf Algebras and Integrable Systems:
Differential structures on quantum groups;
the functional Bethe Ansatz; algebraic
aspects of deformed gauge theories;
classical and quantum solitons; braided
categories.
How can I find out more?
Visit our website:
www.maths.swansea.ac.uk
Contact the Postgraduate
Recruitment Officer:
Email: p.a.jarman@swansea.ac.uk
Tel: +44 (0)1792 295142
Contact the Admissions Tutor:
Professor N Jacob
Email: n.jacob@swansea.ac.uk
Tel: +44 (0)1792 295461
Algebraic Topology: Algebraic topology;
K-theory and other cohomology theories;
Lie groups; relations with number theory
and algebra, operads, configuration
spaces and moduli spaces, diffeomorphism
groups, braid groups and mapping class
groups, characteristic classes
Partial Differential Equations and the
Calculus of Variations: Linear and
non-linear elliptic and parabolic
equations; non-linear problems and the
calculus of variations; reaction-diffusion
equations; Burgers-type equations;
semi-groups of linear operators;
pseudo-differential operators; related
harmonic analysis; mathematics of image
processing; analysis of composite and
smart materials.
Visit the University:
see page 174 for details
Applications can be made online
at: www.swansea.ac.uk/applyonline
– see pages 176 – 177 for further
information
For details of Master’s courses available
in Mathematics, please see page 72.
“After finishing my PhD I started training as an Actuary with AXA in Bristol.
My maths degree was very helpful as it provided me with a solid basis upon
which to begin studying for the actuarial examinations. In particular the self-study
skills developed during my PhD were invaluable when faced with the prospect of
self-studying for 15 examinations.
Since becoming a Fellow of the Institute of Actuaries in 2006 I have worked for
both AXA and HBOS. In summer 2010 I decided to move into the field of
reinsurance and took a job with Partner Re in Zurich, Switzerland. My
responsibilities include the mortality and morbidity research underpinning the
pricing bases used by Partner Re. Once again the PhD skills have been essential
in understanding how to organise research project. With effect from October
2011 I am now a member of the management team of Life Solutions – a team
responsible for providing actuarial solutions to markets throughout the world.
”
Chris Reynolds,
MMath 1999; PhD Mathematics 2002
Research Degrees – Mathematics
124
125