School of Mathematical Sciences

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School of Mathematical Sciences

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School of Mathematical SciencesGRADUATE
PROGRAMMES
Postgraduate Programmes in Mathematical
Sciences Higher Diplomas Actuarial
Science Mathematical Sciences (Mathematics /
Mathematical Physics) Statistics Computational
Science (Taught) MSc Degrees MSc in Statistics,
MSc in Mathematical Physics, MSc in
Mathematics Graduate Dip/MSc Computational
Science MSc in Meteorology MSc in Mathematical
Sciences ( Mathematics/Mathematical Physics /
Statistics) Research Programmes Research MSc
(Math Physics, Maths, Statistics) PhD
www.ucd.ie/MathSciences/postgradua
te
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School of Mathematical Sciences Higher Diploma
in Statistics
Description of the Programme The programme is
aimed at graduates with only a basic level of
statistical training. It is a one-year programme
designed to bring students to the BSc Honours
level in Statistics, and can serve to qualify
students to enter the MSc in Statistics or
Mathematical Sciences. Content Actuarial
Statistics I II Biostatistics Categorical
Data Analysis Design of Experiments Linear
Models I II Probability Distributions
Statistics and Visualisation Statistical
Inference I II Survey Sampling
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School of Mathematical SciencesMSc in Statistics

• Description of the Programme
• This is a one-year (12 months) full-time
  programme. It consists of eight taught modules
  and a research project.
• Content
• Students choose eight of the following modules
• Actuarial Statistics I II Bioinformatics
  Data Analysis
• Data Mining Data Programming Experimental
  Design Mathematical Statistics Multivariate
  Analysis Nonparametric Statistics Regression
  Stochastic Models Survey Sampling Survival
  Analysis Time Series Analysis Monte Carlo
  Inference Bayesian Analysis
• Students make an oral presentation and write a
  minor thesis describing their research project.

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School of Mathematical SciencesResearch Groups
(Statistics)

• Actuarial
  Mary Hall, Shane Whelan
• 
  Philip Boland
• Ecological and Environmental John Connolly
• Econometrics Patrick Murphy
• Epidemiology Gabrielle
  Kelly, David Williams
• Pharmaceutical
  Adrian Dunne
• Bayesian and Computational Nial Friel,
  Brendan Murphy,
• Statistics
  Claire Gormley

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Statistics Areas of Applied Research

• Agriculture
• Ecology
• Genetics
• Insurance Finance
• Medicine
• Nutrition
• Pharmaceutical
• Political Science
• Sociology

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Statistics Research Funding

• Dept. of Agriculture and Food
• Élan Corporation
• European Union
• Health Research Board
• Irish Research Council for Science, Engineering
  Technology
• Johnson Johnson Pharmaceutical Research
• Pfizer Global Research and Development
• Science Foundation Ireland

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Statistics Recent Graduates Employed

• Bank of Ireland
• Eagle Star Ireland
• ICON Ireland and England
• IFSC Ireland
• KPMG Ireland
• Novartis Switzerland
• PPD Global Scotland
• Quintiles Ireland
• Roche Switzerland
• Teagasc Ireland
• St Jamess Hospital Dublin

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School of Mathematical Sciences Higher Diploma
in Actuarial Science
Description of the Programme The programme is
aimed at graduates from quantitative disciplines
who wish to pursue a career as an actuary. High
performance in the examinations gives an
exemption from many of the Core Technical
professional examinations of the Faculty
Institute of Actuaries in the UK
(www.actuaries.org.uk). It is a one-year
full-time or a two-year part-time programme.
Students must take at least 5 subjects out of 8
(each subject matching a professional
examination). To Choose at least 5 out of 8
Subjects Below Financial Mathematics (CT-1)
Finance Financial Reporting (CT-2) Probability
Mathematical Statistics (CT-3) Actuarial
Models (CT-4) Actuarial Mathematics (CT-5)
Applied Actuarial Statistical Methods
(CT-6) Economics (CT-7) Financial Economics
(CT-8). Further Information lwww.ucd.ie/MathScie
nces/postgraduateMary Hall, FIA, FSAI
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School of Mathematical Sciences Higher Diploma
in Mathematical Science (Mathematics)
Description of the Programme The programme is
aimed at graduates whose level of mathematical
training is high, but not equivalent to the level
of the BSc Honours degree in Mathematics or
Mathematical Sciences. It is a one-year
programme designed to bring students to the BSc
Honours level in Mathematics, and can serve to
qualify students to enter the MSc in Mathematics
or Mathematical Sciences. Content Core modules
Vector Spaces and Coding Theory , Polynomial
Rings and Group Theory,Introduction to Analysis,
Advanced Linear Algebra, Field Theory, Ring
Theory, Functional Analysis, Differential
Geometry Optional Modules Functions of Several
Variables, One Complex Variable, Metric Spaces
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School of Mathematical SciencesMSc in
Mathematical Sciences

• Description of the Programme
• This is a full-time one-year degree by
  examination and minor thesis. The purpose of the
  programme is to give to students who have an
  excellent primary degree in a mathematical
  discipline the necessary knowledge and competence
  to study and understand current research
  literature in at least one are of the
  mathematical sciences.
• Structure of the Programme
• The programme consists of 90 credits of
  work 60 credits of taught modules and 30 credits
  assigned to the writing of a thesis and to active
  participation in a research seminar.
• The student must take 60 credits of taught
  modules from the graduate modules in Actuarial
  Science, Applied Mathematics, Mathematics,
  Statistics and Theoretical Physics - subject to
  the approval of the programme director.

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School of Mathematical SciencesMSc in Mathematics

• Description of the Programme
• This is a one-year (12 months) full-time
  programme. It consists of six 10-credit taught
  modules and 30 credits assigned to the writing of
  a thesis and active participation in a research
  seminar.
• Content
• The modules offered vary from year to year, but
  are chosen from the following
• Number Theory, Finite Group Theory,
• Representation Theory of Groups, Commutative
  Algebra,
• Quadratic Forms, Geometry of Banach Spaces,
  Topology,
• Measure Theory, Several Complex Variables,
  Operator Theory, Functional Analysis, Advanced
  Combinatorics, Coding Theory

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School of Mathematical SciencesResearch Groups
(Mathematics)

• Group Representation Theory Rod Gow,
  Russell Higgs
• Quadratic and Hermitian Forms David Lewis,
  Thomas Unger
• Matrix Theory Tom
  Laffey, Helena Smigoc
• Number Theory Kevin
  Hutchinson, Robert Osburn
• 
  Sander Zwegers
• Coding and Cryptography Eimear Byrne,
  Marcus Greferath,
• 
  Russell Higgs, Gary McGuire
• Infinite-Dimensional Analysis Chris Boyd,
  Michael Mackey,
• Sean
  Dineen, Micheal O Searcoid
• Potential Theory
  Stephen Gardiner
• Mathematical Education Maria
  Meehan, Philip Boland

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Claude Shannon Institute for Discrete
Mathematics, Coding and Cryptography

• The Claude Shannon Institute will support
  research in coding theory and cryptography, and
  all related areas of mathematics, and create a
  network of mathematicians, engineers, computer
  scientists and industry partners
• We are now accepting applications for fully
  funded PhD students in the areas of coding
  theory, cryptography, and discrete mathematics.
  This includes algebra, number theory and
  algebraic geometry.
• For further details of our generous funding
  package, our research projects, and personnel,
  please visit our web site
• www.shannoninstitute.ie

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School of Mathematical Sciences Higher Diploma
in Mathematical Science (Mathematical Physics)
Description of the Programme The programme is
aimed at graduates whose training is not
sufficient for them to proceed to the MSc in
Mathematical Physics. It is a one-year programme
designed to bring students to the BSc Honours
level in Mathematics, and can serve to qualify
students to enter the MSc in Mathematical Physics
or Mathematical Sciences. Students normally take
half the third year courses and half the fourth
year courses in Mathematical Physics. This
material is equivalent to that covered by a Joint
Honours student taking Mathematical Physics.
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School of Mathematical SciencesMSc in Applied
Mathematics/Mathematical Physics

• Description of the Programme
• This is a one-year (12 months) full-time
  programme. It consists of four 15-credit taught
  modules and 30 credits assigned to the writing of
  a thesis and active participation in a research
  seminar.
• Typical Courses
• Quantum Statistical Mechanics,
• Advanced General Relativity,
• Quantum Theory and Gravitation,
• Quantum Field Theory,
• Advanced Fluid Mechanics,
• Ocean Wave Dynamics,
• Dynamical Systems,
• Computational Science

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School of Mathematical SciencesResearch Groups
(Applied Mathematics/Mathematical Physics)

• General Relativity and Quantum Gravity
  Adrian Ottewill
• Dynamical Systems/Mathematical Biology
  Zoltan Neufeld
• Fluid Mechanics/Nonlinear waves
  Ted Cox, Zoltan
• 
  Neufeld
• Statistical Mechanics/Random
  
• Operators
  Joe Pulé
• Climate and Meteorology
  Peter Lynch
• 
  Rodrigo Caballero

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School of Mathematical SciencesMSc in
Meteorology and Climate

• Aim
• Modern survey of the maths and physics of weather
  and climate prediction. Suitable starting point
  for an applied career and for further research.
  Only programme of its kind in Ireland.
• Structure
• One-year (12 months) full-time programme, with 5
  taught
• modules and a 3-month research thesis.
• Content
• Taught modules
• Physical Meteorology
• Dynamical Meteorology
• Climate Dynamics
• Numerical Weather Prediction
• Synoptic Meteorology
• Includes Field Trip to Valentia Observatory,
• Met Éireanns Geophysical Observatory.
• Website www.ucd.ie/meteorology

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School of Mathematical SciencesResearch areas in
the Meteorology Climate Centre

• Climate Dynamics
• Regional Climate Modelling
• Atmospheric Turbulence
• Wind Energy
• Numerical Weather Prediction

Latest issue of UCD Today
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School of Mathematical SciencesRecent
developments in Meteorology Climate Centre

• MetVue Current Satellite, Radar and Forecast
  data on screen
• EC-Earth UCD joins European Climate Modelling
  Group
• Visual Weather New visualization system for
  weather data
• COSMO Regional prediction model now running at
  UCD

New weather graphics system
You can be part of this !
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M.Sc. Computational Science (Joint with Computer
Science and Informatics)
Multidisciplinary interaction of applied
mathematicians, computer scientists, chemists,
biologists, engineers.
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Computational Science

• Solving real world problems through
  mathematical modelling and computation

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M.Sc. In Computational Science
Financial Engineering Bio-informatics Geophysics D
ata Mining System Biology
Multiscale Modelling Numerical Algorithms Finite
Element Methods Dynamical Systems Queuing Theory
Grid Computing Parallel Algorithms Parallel
Environments Visualisation
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Computational Science

• Has been successful in various application
  areas, including

• Economics
• Materials research
• Medical imaging
• Biology
• Manufacturing

• Seismology
• Global ocean/ climate modeling
• Environmental studies

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M.Sc. Computational Science
www.ucd.ie/computationalscience
 
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Sources of Funding

• See
• www.ucd.ie/MathSciences/postgraduate
• Funded projects (ask academic staff)
• IRCSET scholarships
• School bursaries/demonstratorships