Ewch i’r prif gynnwys

Mathemateg

To offer knowledge and expertise for a career in the academic world, or to pursue a variety of other opportunities in which a strong mathematical background is important. Past students are on the staff of universities in the UK and abroad, and senior statisticians and managers in industry and business.

The PhD programme leads the student, through taught courses and individual project supervision, to the frontier of an area of mathematics, with the aim of creating a piece of original research, written up in the doctoral thesis. In the process, the student acquires essential research, problem-solving and communication skills.

The MPhil programme is similar, but less ambitious due to its more limited scope; work on an MPhil can lead on to completing a PhD.

Nodweddion unigryw

  • Lively research environment, extensive seminar programme
  • Conference and workshop support, including annual Welsh Mathematics Colloquium
  • Optional participation in undergraduate teaching, including HEA accreditation

Ffeithiau allweddol

Math o astudiaeth Amser llawn, rhan amser
Cymhwyster PhD, MPhil
Hyd amser llawn PhD 3 years; MPhil 1 year
Hyd rhan-amser PhD 5 years; MPhil 2 years
Derbyniadau Ionawr, Ebrill, Gorffennaf, Hydref

In their first and second year of study, research students follow a programme of lectures and reading courses agreed with their supervisors. These include formal assessment.

Moreover, research students benefit from a carefully developed graduate program including computational, presentational and subject-specific skills.

Students will also write a substantial end-of-year report and give a seminar in the department.

Research students in their first year(s) follow an agreed programme of study to introduce them to research skills and methods and to advance their knowledge in their chosen field.

This includes a broad choice of postgraduate courses provided through the national collaborative networks MAGIC (for pure/applied mathematics) and NATCOR (for OR) and APTS (for statistics). Regular seminars in all subject areas, as well as the Cardiff Mathematics Colloquia and the yearly Welsh Mathematics Colloquium, provide insight into cutting-edge research.

Available research areas

  • Analysis and Differential Equations
  • Applied Mathematics
  • Mathematical Physics
  • Number Theory
  • Operational Research
  • Statistics

Amgylchedd ymchwil

The individual research groups run weekly seminars with guest speakers, and postgraduate research students regularly attend the seminar in their research area, and are encouraged to profit from talks in other areas, too. The School organises about three mathematics colloquia with distinguished guest speakers per term.

Moreover, Cardiff is the venue for a number of international workshops and conferences organised by members of the School of Mathematics, thus giving postgraduate students a welcome opportunity to learn about world-leading current research. They are also encouraged to take part and present their results at major conferences in the UK and abroad.

At the annual Welsh Mathematics Colloquium at Gregynog, postgraduate students can showcase their work in the group of Welsh Mathematics departments.

Meysydd ymchwil

Mathemateg Gymhwysol

Mae ymchwil yn y maes hwn yn cwmpasu: Lluosogi ton mewn cyfryngau anhomogenaidd; Homogeneiddiad; Mecaneg hylif; Mecaneg strwythurol a solet; Dadansoddiad rhifiadol a chyfrifiadureg gwyddonol; Modelu mathemategol cymhwysol; Effeithiau cof; Problemau gwrthdro; Trawsnewid hanfodol.

Ymchwil Weithrediadol

Mae ymchwil yn y maes yn cynnwys: Modelu llif traffig; Modelu gofal iechyd; Modelu lledaeniad clefydau heintus; Theori ciwio; Amserlennu a phroblemau amserlennu; Metaheuristeg; Optimeiddio arwahanol.

Tebygolrwydd ac Ystadegaeth

Research in this area spans: Multivariate statistical analysis; Time series analysis; Statistical modelling in market research; Optimal experimental design; Stochastic global optimisation; Change point detection; Probabilistic methods in search and number theory; Fisheries; Medical statistics; Random fields; Mathematical finance.

Mathemateg Bur

Mae ymchwil yn y maes yn cynnwys: Hafaliadau differol rhif a chyffredin; Dadansoddiad swyddogaethol; Theori sbectrol cyfrifiadurol a dadansoddol; Mecaneg cwantwm; Theori rhif a’i ddefnydd; Ffiseg mathemategol; Algebras gweithredydd; Geometreg algebraidd.

Combinatorial optimisation

This is a fully-funded EPSRC project in mathematics.

Cyfuniadeg

Mae hwn yn brosiect EPSRC mewn mathemateg a ariennir yn llawn.

Vertex algebras and lie theory

This is a fully-funded EPSRC project in mathematics.

Connectivity of group C*-algebras

This is a fully-funded EPSRC project in mathematics.

Spectral element mimetic least squares PGD method

This is a fully-funded EPSRC project in mathematics.

Game Theory

This project will aim to build on research by exploring novel reinforcement learning algorithms and/or other techniques from machine learning.

Integer Optimisation

The project aims to develop novel algebraic and geometric methods that can be successfully applied to study integer optimisation problems, with a special focus on sparsity of solutions in context of (linear or nonlinear) integer optimisation.

Dysgu peirianyddol a chloddio data

Mae hwn yn brosiect EPSRC mewn mathemateg a ariennir yn llawn.

Dynamics of bubbles rising in viscoelastic fluids

This is a fully-funded EPSRC project in mathematics.

Healthcare Modelling

The aim of this project is to develop a platform for healthcare operations management underpinning strategic, tactical and operational decisions.

Homogenisation of periodic problems in linear PDEs and non-linear elasticity

This is a fully-funded EPSRC project in mathematics.

Brasamcan sbectrol

Mae hwn yn brosiect EPSRC mewn mathemateg a ariennir yn llawn.

Higher order analysis and bifurcation theory

You will be expected to extend the current theory to the weakly non-linear regime and beyond.

Machine Learning: ‘Data Mining’

This project will involve learning several new and important areas of IT and Mathematics: data mining, machine learning, and analysis on graphs, big data management, gpu/cuda programming and data sets fusion.

Theori aflinol tonnau disgyrchiant acwstig

Bydd y prosiect hwn yn defnyddio dadansoddiad graddfa luosog gyda thechnegau mathemategol safonol eraill er mwyn cael yr ateb cyffredinol mewn gofod tri dimensiwn.

Metaheuristic Methods for Probabilistic Graphical Models

The aim of this project is to develop approaches for learning probabilistic graphical models that can be used for classification problems and to explore causal relationships between attributes.

Proper general decomposition for convection-diffusion equations

This is a fully-funded EPSRC project in mathematics.

Cohomoleg bwndel parhaus

Mae hwn yn brosiect EPSRC mewn mathemateg a ariennir yn llawn.

Homogenisation Theory

The aim of this project is to understand the properties of composites by approximating them with “effective” (homogeneous) materials.

Algebras gweithredydd

Nod y prosiect yw creu isffactorau sy’n gysylltiedig â chategorïau tensor lled-rhesymegol ac ymchwilio i’w priodweddau.

A broad variety of careers in academia or industry.

Benthyciadau Llywodraeth y DG i ôl-raddedigion doethuriaeth

Gallai ymgeiswyr ar gyfer y rhaglen Doethuriaeth Broffesiynol fod yn gymwys i wneud cais am fenthyciad doethuriaeth ôl-raddedig gan Lywodraeth y DU..

Benthyciadau Llywodraeth y DG i ôl-raddedigion doethuriaeth

Arian

A small number of EPSRC-funded doctoral training grants are available for UK/EU applicants, awarded on a competitive basis, subject to research council residence requirements.

There are currently no funding opportunities available.

Ffioedd dysgu

Myfyrwyr y DU ac UE

Mynnwch y wybodaeth ddiweddaraf am ffioedd ôl-raddedigion.

Myfyrwyr tu allan i'r UE

Mynnwch y wybodaeth ddiweddaraf am ffioedd ôl-raddedigion.

MPhil candidates should hold a first or upper second class UK Honours degree or equivalent in Mathematics or a suitable related discipline.

PhD candidates should have a minimum, a first or upper second class UK Honours degree or equivalent in Mathematics or a suitable related discipline.

Gofynion Iaith Saesneg

Fel arfer, mae disgwyl i ymgeiswyr nad yw’r Saesneg yn famiaith iddynt fodloni gofynion y Brifysgol (e.e. 6.5 IELTS). Gweler ein canllawiau am ein Gofynion Iaith Saesneg am ragor o fanylion.

Proses gwneud cais

The University has four entry points for research degrees; 1st October, 1st January, 1st April or 1st July

Gwneud cais

Gwneud cais nawr
Mae'r Academi Ddoethurol yn falch i'ch gwahodd chi i'w Gŵyl Ymchwil Ôl-raddedig cyntaf.

Cyrsiau cysylltiedig

Pynciau cysylltiedig

Dolenni perthnasol