School of Mathematical Sciences

current postgraduate research students

M.Sc. Students

• Orlaith Mannion
  Cosmic expansion and local physics: black holes in the expanding universe
  Supervisor: Dr. Brien Nolan

Ph. D. Track Students

• Jian Cheng
  Nonlinear Stochastic Delay Equations Modelling Inefficient Financial Markets
  Supervisor: Dr. John Appleby
• Eoin Condron
  Cosmic censorship and C-energy in cylindrical spacetimes
  Supervisor: Dr. Brien Nolan

Ph.D. Students

• John Daniels
  Volatility modelling in inefficient markets
  Supervisor: Dr. John Appleby
• Emily Duffy
  Naked singularities in self similar gravitational collapse: stability and gravitational wave emission
  Supervisor: Dr. Brien Nolan
• Michael McCarthy
  Explosions in stochastic dynamical systems applied to finance
  Supervisor: Dr. John Appleby
• Wayne O'Keeffe
  Stellar jet launching beyond the flux freezing approximation
  Supervisor: Dr. Turlough Downes
• Jason Quinn
  Robust numerical methods for nonlinear singularly perturbed differential equations
  Supervisor: Prof. Eugene O'Riordan

graduated postgraduate students

Graduated March 2011

• Aoife Jones
  Propagation of Stellar Jets
  Supervisor: Dr. Turlough Downes

Graduated November 2010

• Terry Lynch
  Simulation and Analysis of Non--standard Discrete Time Financial Market Models
  Supervisor: Dr. John Appleby
• Eoin O'Callaghan
  Exponential integrators for time-Dependent PDEs
  Supervisor: Prof. John Carroll

Graduated November 2009

• Catherine Swords
  Stochastic Delay Differential and Difference Equations: Applications to Financial Markets
  Supervisor: Dr. John Appleby
• Huizhong Wu
  On the Pathwise Large Deviations of Stochastic Differential and Functional Differential Equations with Applications to Finance
  Supervisor: Dr. John Appleby

Graduated November 2008

• Séan Corkery (M.Sc.)
  The stability and propagation of rotating stellar jets
  Supervisor: Dr. Turlough Downes
• Aisling Kenny (Ph.D.)
  Combinatorics, geometry and homology of non-crossing partition lattices
  Supervisor: Dr. Thomas Brady

Graduated November 2007

• Siobhan Devin (Ph.D.)
  On the asymptotic behaviour of deterministic and stochastic Volterra integro-differential equations
  Supervisors: Dr. John Appleby and Dr. David Reynolds
• Louise Nolan (Ph.D.)
  Cylindrically and axially symmetric models of self-similar gravitational collapse
  Supervisor: Dr. Brien Nolan

Graduated November 2006

• Edel DeLoughry (Ph.D.)
  Second order Rossby-Haurwitz wave interactions
  Supervisor: Prof. Jurgen Burzlaff

Graduated March 2006

• Ray Dunne (Ph.D.)
  Finite difference methods for singularly perturbed problems on non-rectangular domains
  Supervisor: Prof. Eugene O'Riordan
• Maria Pickett (Ph.D.)
  Singularly perturbed problems modelling reaction-convection-diffusion processes
  Supervisor: Prof. Eugene O'Riordan
• Thomas Waters (Ph.D.)
  Stability of naked singularities in self similar gravitational collapse
  Supervisor: Dr. Brien Nolan

Graduated November 2005

• Conall Kelly (Ph.D.)
  Oscillation and asymptotic behaviour of stochastic delay differential Equations
  Supervisors: Dr. John Appleby and Prof. Emmanuel Buffet
• Ronan Keegan (Ph.D.)
  High resolution simulations of the long-term evolution of jets from young stellar objects
  Supervisor: Dr. Turlough Downes

Graduated March 2004

• Donal Dowling (M.Sc.)
  Perturbation of coupled Schrödinger equations giving rise to eigenvalues with exponentially small imaginary part.
  Supervisor: Prof. Alastair Wood

Graduated November 2003

• Seamus Bellew (M.Sc.)
  A Dirichlet problem for a coupled system of two singularly perturbed convection-diffusion ordinary differential equations
  Supervisor: Prof. Eugene O'Riordan
• Luca Satori (Ph.D.)
  The slow-motion approximation for the Gorkov-Eliashberg equations
  Supervisor: Prof. Jurgen Burzlaff

Graduated November 2002

• James Grant (Ph. D.)
  Numerical simulation of turbulent airflow in mushroom houses
  Supervisor: Prof. Alastair Wood

Graduated March 2002

• Glenn Fingleton (M. Sc.)
  Deterministic and stochastic differential equation models for Aujesky's Disease in Irish pig herds, with a view towards eradication.
  Supervisor: Prof. Alastair Wood

Graduated November 2001

• Brian Murphy (Ph. D.)
  Exponentially-improved asymptotics of solutions of second order linear ordinary differential equations about irregular singularities of high rank at infinity, with extension to equations of higher order.
  Supervisor: Prof. Alastair Wood

Graduated March 2001

• Eamon Kellegher (M. Sc.)
  Expansion of vortex solutions for two vortices close together
  Supervisor: Prof. Jurgen Burzlaff
• Cormac Walsh (Ph. D.)
  Use of the methods of statistical mechanics to describe the properties of telecommunication traffic, with a view to estimating the quality of service parameters.
  Supervisor: Prof. Emmanuel Buffet

Graduated November 2000

• Helen McMullen (Ph.D.)
  Schwarz domain decomposition methods for singularly perturbed differential equations
  Supervisor: Prof. Eugene O'Riordan

Graduated March 2000

• Sinead Breen (Ph.D)
  Exponentially-improved asymptotics of single and multidimensional integrals
  Supervisor: Prof. Alastair Wood
• Sean Matthews (M.Sc.)
  Parameter robust numerical methods for a system of two coupled singularly perturbed reaction-diffusion equations
  Supervisor: Prof. Eugene O'Riordan
• Michael Skehan (M.Sc.)
  The smile effect in option pricing. Various approaches to the smile effect are developed, including stochastic volatility.
  Supervisor: Prof. Emmanuel Buffet