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Researchers at UCD

researcher

Miguel Bustamante

Associate Professor

School of Mathematics & Statistics
Institute for Discovery, Room E0.89
UCD Science Centre East
University College Dublin
Belfield, Dublin 4
IRELAND

Tel: +353 1 716 2236
Email: miguel * bustamante © ucd * ie

Professional

Honours and Awards

Year: 2012.
Title: Chairman of IUTAM Symposium

Associations

Association: American Physical Society, Function/Role: Member
Association: EUROMECH, Function/Role: Member
     

Conference Contributions

Miguel D Bustamante, Dan Lucas, Marc Perlin (2016) Precession resonance mechanism in deep-water surface gravity waves. [Oral Presentation], 69th Annual Meeting of the Fluid Dynamics Division of the American Physical Society, Portland, Oregon, USA , 20-NOV-16 - 22-NOV-16.
Brendan P Murray, Miguel D Bustamante, Michele Buzzicotti and Luca Biferale (2016) Enhanced energy fluxes via phase precession in forced Burgers equation. [Oral Presentation], 69th Annual Meeting of the Fluid Dynamics Division of the American Physical Society, Portland, Oregon, USA , 20-NOV-16 - 22-NOV-16.
Miguel D Bustamante, Dan Lucas, Marc Perlin (2016) Precession resonance mechanism in deep-water surface gravity waves. [Oral Presentation], Analysis and Applications of Localized Structures in Nonlinear Media, Lorent Center, Leiden , 29-AUG-16 - 31-AUG-16.
Miguel D Bustamante and Dan Lucas (2016) Precession resonance mechanism in deep water surface gravity waves. [Invited Oral Presentation], Statistics of extreme and singular events in spatially extended systems, Mathematics Institute, University of Warwick , 11-JUL-16 - 15-JUL-16.
Miguel D Bustamante, Rachel Mulungye and Dan Lucas (2016) Atypical late-time singular regimes accurately diagnosed in stagnation-point-type helical solutions of 3D Euler flows. [Invited Oral Presentation], International IUTAM Symposium Helicity, Structures and Singularity in Fluid and Plasma Dynamics, Istituto Veneto, Venice, Italy , 11-APR-16 - 15-APR-16.
Miguel D Bustamante, Michele Buzzicotti, Brendan Murray and Luca Biferale (2016) Phase and precession evolution in the Burgers equation. [Oral Presentation], International Conference Flowing Matter 2016, University of Porto, Porto, Portugal , 11-JAN-16 - 15-JAN-16.
Miguel D Bustamante, Rachel Mulungye and Dan Lucas (2016) Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows. [Invited Oral Presentation], Extreme Events and Criticality in Fluid Mechanics: Computations and Analysis, Fields Institute, Toronto, Canada , 25-JAN-16 - 29-JAN-16.
Miguel D Bustamante and Sergey V Nazarenko (2016) Derivation of the Biot-Savart equation from the nonlinear Schrodinger equation. [Oral Presentation], The 4th International Conference Nonlinear Waves - Theory and Applications, Tsinghua University, Beijing, China , 25-JUN-16 - 28-JUN-16.
Miguel D Bustamante and Dan Lucas (2016) Precession resonance mechanism in deep-water surface gravity waves. [Invited Oral Presentation], The 4th International Conference Nonlinear Waves - Theory and Applications, Tsinghua University, Beijing, China , 25-JUN-16 - 28-JUN-16.
Miguel D Bustamante, Brenda Quinn and Dan Lucas (2015) Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems. [Oral Presentation], European Turbulence Conference 2015, Delft University of Technology, Delft, The Netherlands , 25-AUG-15 - 28-AUG-15.
Miguel D Bustamante, Brenda Quinn and Dan Lucas (2015) Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems. [Invited Oral Presentation], Basic Issues of Extreme Events in Turbulence, Wolfgang Pauli Institute, Vienna, Austria , 04-MAY-15 - 08-MAY-15.
Miguel D Bustamante, Rachel Mulungye, Dan Lucas (2015) Assessing late-time singular behaviour in symmetry-plane models of 3D Euler ow. [Invited Oral Presentation], 8th International Congress on Industrial and Applied Mathematics, Beijing, China , 10-AUG-15 - 14-AUG-15.
Miguel D Bustamante, Brenda Quinn and Dan Lucas (2015) Precession resonance mechanism in nonlinear wave systems. [Invited Oral Presentation], Joint Symposium of Irish Mechanics Society & Irish Society for Scientific & Engineering Computation: Advances in Mechanics, School of Mechanical & Materials Engineering, University College Dublin, Dublin, Ireland , 03-DEC-15 - 04-DEC-15.
Miguel D Bustamante (2015) Precession resonance mechanism in nonlinear wave systems: towards applications in stratified flows. [Invited Oral Presentation], Workshop Nonlinear Waves in Stratified Flows, University of Limerick , 05-NOV-15 - 06-NOV-15.
Miguel D Bustamante, Brenda Quinn and Dan Lucas (2014) Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems. [Invited Oral Presentation], Workshop Mathematics of Nonlinear Phenomena, Dublin Institute of Technology, Dublin, Ireland , 08-MAY-14 - 09-MAY-14.
Miguel D Bustamante (2014) Symmetry-plane models of 3D Euler fluid equations: Analytical solutions and finite-time blowup using infinitesimal Lie-symmetry methods. [Oral Presentation], 67th Annual Meeting of the APS Division of Fluid Dynamics, San Francisco, California, USA , 23-NOV-14 - 25-NOV-14.
Miguel D Bustamante, Brenda Quinn and Dan Lucas (2014) Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems. [Invited Oral Presentation], 7th International Conference Solitons, Collapses and Turbulence: Achievements, Developments and Perspectives, Landau Institute for Theoretical Physics, Chernogolovka, Moscow Region, Russia , 04-AUG-14 - 08-AUG-14.
Rachel Mulungye, Dan Lucas and Miguel Bustamante (2014) Symmetry-plane model of 3D Euler flows: mapping to regular systems and numerical solutions of blowup. [Oral Presentation], 67th Annual Meeting of the APS Division of Fluid Dynamics, San Francisco, California, USA , 23-NOV-14 - 25-NOV-14.
Miguel D Bustamante and Robert Kerr (2013) Dynamics of vorticity near the position of its maximum modulus. [Invited Oral Presentation], V International Conference Frontiers of Nonlinear Physics, Nizhny Novgorod, Russia , 28-JUL-13 - 02-AUG-13.
Miguel D Bustamante and Brenda Quinn (2013) Which wave system is more turbulent: strongly or weakly nonlinear?. [Invited Oral Presentation], The Mathematical Congress of the Americas 2013, Guanajuato, Mexico , 05-AUG-13 - 09-AUG-13.
Miguel D Bustamante and Umar Hayat (2013) Complete classification of discrete resonant Rossby/drift wave triads on periodic domains. [Oral Presentation], 14th European Turbulence Conference, Lyon, France , 01-SEP-13 - 04-SEP-13.
Miguel D Bustamante and Brenda Quinn (2013) Which wave system is more turbulent: strongly or weakly nonlinear?. [Invited Oral Presentation], Ocean Wave Dynamics Workshop (Thematic Program on the Mathematics of Oceans), Fields Institute, Toronto, Canada , 05-MAY-13 - 22-MAY-13.
Miguel D Bustamante and Robert Kerr (2012) Dynamics of Vorticity Near the Position of its Maximum Modulus. [Invited Oral Presentation], Patterns, turbulence and waves - a meeting in honour of the 70th birthday of Alan C. Newell, University of Warwick, UK , 09-JUL-12 - 10-JUL-12.
Miguel Bustamante, Marc Brachet, Amitava Bhattacharjee, Brian Sawford, Robert Kerr, Makoto Tsubota, Alan Newell; (2012) International Union of Theoretical and Applied Mechanics (IUTAM) Symposium. Topics Covered: 1. Extreme events in atmospheric dynamics (e.g., fronts, jets and hurricanes); 2. Extreme events in oceans (e.g., rogue waves); 3. Extreme events in Euler and Navier-Stokes classical turbulence (e.g., near-singular behaviour); 4. Extreme events in Magneto-Hydrodynamics (e.g., magnetic reconnection); 5. Extreme events in superfluid quantum vortices (e.g., change of topology of vortex tangles). [Conference Organising Committee Chairperson], Understanding Common Aspects of Extreme Events in Fluids, University College Dublin, IRELAND , 02-JUL-12 - 06-JUL-12.
Miguel D Bustamante (2012) 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis. [Invited Oral Presentation], 6th International Conference Solitons, Collapses and Turbulence: Achievements, Developments and Perspectives, Akademgorodok - Novosibirsk, Russia , 04-JUN-12 - 08-JUN-12.
Miguel D Bustamante, Jamie Harris and Colm Connaughton (2012) Externally forced triads of resonantly interacting waves: boundedness and integrability. [Oral Presentation], Wave Turbulence Workshop, Ecole de Physique des Houches, Les Houches, France , 25-MAR-12 - 30-MAR-12.
Miguel D Bustamante and Umar Hayat (2012) Complete classification of discrete resonant Rossby/drift wave triads on periodic domains. [Invited Oral Presentation], Mathematical Modelling and Analysis of Extreme Sea Waves, Les Treilles, France , 08-OCT-12 - 13-OCT-12.
Miguel D Bustamante and Robert Kerr (2012) Dynamics of vorticity near the position of its maximum modulus. [Invited Oral Presentation], Workshop Lagrange versus Euler for turbulent flows and/or vice versa, with some emphasis on the relation, Wolfgang Pauli Institute, Vienna, Austria , 07-MAY-12 - 10-MAY-12.
Miguel D Bustamante (2012) Eulerian-Lagrangian methods in fluid mechanics, based on Hamilton's principle. [Invited Lecture], Workshop Lagrange versus Euler for turbulent flows and/or vice versa, with some emphasis on the relation, Wolfgang Pauli Institute, Vienna, Austria , 07-MAY-12 - 10-MAY-12.
Miguel D. Bustamante and Robert M. Kerr; (2008) Discussion of state-of-the-Art methods and results of high-resolution numerical simulations of 3D Euler fluid equations. Speakers: M. Brachet (ENS Paris), P. Orlandi (Roma), R. Kerr (Warwick), C. Barenghi (Newcastle). [Conference Organising Committee Chairperson], Euler and High Performance Computing, Warwick Mathematics Institute, University of Warwick, UK , 03-JAN-08 - 03-JAN-08.

Committees

Committee : NSERC, Canada
Committee : COST Action MI-NET (TD1409)
Committee : ICHEC Scientific Panel

Employment

Employer: University of Warwick
Position: Research Fellow
Employer: Ecole Normale Superieure
Position: Research Fellow
Employer: University College Dublin
Position: Lecturer in Applied Mathematics

Education

Year 2003 Institution: Universidad de Chile
Qualification: PhD Subject: Systematic Construction of Lagrangian and Hamiltonian Structures for Nonlinear Equations
Year 1996 Institution: Universidad de Chile
Qualification: BSc (First Class Hons) Subject: Physics

Languages

English:
French:
Spanish:

Consultancy

Client: Rusal Aughinish

Outreach Activities

Invited Lecture at TCD MathSoc.
Title: "Singularities, Turbulence & Extreme Events: The new Frontiers of Mathematics"
Date: 15 October 2014
Venue: Trinity College Dublin
 
Invited presentation to UCD MathSoc.
Title: "Turbulence & Singularities: The new Frontiers of Mathematics"
Date: 30 Sept 2015
Venue: UCD, Dublin, Ireland 
Organisation of the 102nd European Study Group with Industry.

Web page:  http://mathsci.ucd.ie/esgi/
Singularity Day (Short Movie)

Link on YouTube: http://youtu.be/5hHP9fzongs

Director: Fergal Costello | Duration: 3 mins |
Witness through a child's eyes, the power of the singularity. A young boy, at the back of his father's lecture on the singularity theory, interprets his father's science through the actions of battling comic book heroes! The singularity theory says that when two turbulent vortices collide there will be an eruption of cascade energy, the day that theory is proven will be the Singularity Day. A collaboration with Dr. Miguel D. Bustamante (mathsci.ucd.ie/~miguel/).

CREDITS

Numerical simulations produced by: Brenda Quinn and Miguel Bustamante, UCD Dublin; Maurizio Quadrio, Politecnico di Milano; Marc Brachet and Giorgio Krstulovic, CNRS France; Michel Desgagné and Gilbert Brunet, Environment Canada.

Open-source software used to produce animations: Gnuplot (www.gnuplot.info), ParaView (www.paraview.org) and VAPOR (www.vapor.ucar.edu).

For more information about turbulence research stay tuned at the webpage: mathsci.ucd.ie/~miguel/

Journals Edited

Physical Review Letters: Reviewer.
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences: Reviewer.
Physical Review E (Statistical, Nonlinear, And Soft Matter Physics): Reviewer.
New Journal Of Physics: Reviewer.
Fluid Dynamics Research: Reviewer.
European Journal Of Mechanics - B/Fluids: Reviewer.
Physics Of Fluids: Reviewer.
Communications In Nonlinear Science And Numerical Simulation: Reviewer.
Journal Of Mathematical Physics: Reviewer.
Journal Of Physics A-Mathematical And General: Reviewer.
Journal Of Fluid Mechanics: Reviewer.
Geophysical & Astrophysical Fluid Dynamics: Reviewer.
Physica D: Nonlinear Phenomena: Reviewer.
 

Publications

 

Book Chapters

M. D. Bustamante, K. L. Harper, S. V. Nazarenko, B. Quinn (2014) 'Zonostrophy and other quadratic invariants in drift and QG wave turbulence' In: Boris Galperin and Peter Read (eds). Zonal Jets. Cambridge: CUP. [Details]
Robert M. Kerr and Miguel D. Bustamante (2012) 'Exploring Symmetry Plane Conditions in Numerical Euler Solutions' In: Robert M. Kerr and Miguel D. Bustamante (eds). Mathematical Aspects of Fluid Mechanics. UK: CUP. [Details]

Edited Books

M. D. Bustamante, A. C. Newell, R. M. Kerr, M. Tsubota (Ed.). (2013) Understanding Common Aspects of Extreme Events in Fluids. USA: Procedia IUTAM Elsevier. Available Online [DOI] [Details]

Peer Reviewed Journals

Michele Buzzicotti, Brendan P Murray, Luca Biferale, Miguel D Bustamante (2016) 'Phase and precession evolution in the Burgers equation'. European Physical Journal E, 39 :34. [DOI] [Details]
Rachel M Mulungye, Dan Lucas, Miguel D Bustamante (2016) 'Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows'. Journal of Fluid Mechanics, 788 :R3. [DOI] [Details]
Marc Perlin, Miguel D Bustamante (2016) 'A robust quantitative comparison criterion of two signals based on the Sobolev norm of their difference'. Journal of Engineering Mathematics, . [DOI] [Details]
Miguel D. Bustamante and Sergey V. Nazarenko (2015) 'Derivation of the Biot-Savart equation from the Nonlinear Schrodinger equation'. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92 :053019. [DOI] Link to full text [Details]
Mulungye, R.M. and Lucas, D. and Bustamante, M.D. (2015) 'Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions'. Journal of Fluid Mechanics, 771 :468-502. Available Online [DOI] Link to full text [Details]
Miguel D. Bustamante, Brenda Quinn and Dan Lucas (2014) 'Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems'. Physical Review Letters, 113 :084502-084502. Available Online [DOI] Link to full text [Details]
Peter Lynch and Miguel D Bustamante (2013) 'Quaternion Solution for the Rock'n'roller: Box Orbits, Loop Orbits and Recession'. Regular and Chaotic Dynamics, 18 (1-2):166-183. Available Online [DOI] [Details]
J. Harris, C. Connaughton, M. D. Bustamante (2013) 'Percolation transition in the kinematics of nonlinear resonance broadening in Charney-Hasegawa-Mima model of Rossby wave turbulence'. New Journal of Physics, 15, 083011 . Available Online [DOI] Link to full text [Details]
K. L. Harper, M. D. Bustamante, S. V. Nazarenko (2013) 'Quadratic invariants for discrete clusters of weakly interacting waves'. Journal of Physics A: Mathematical and General, 46, 245501 . Available Online [DOI] Link to full text [Details]
M. D. Bustamante, U. Hayat (2013) 'Complete classification of discrete resonant Rossby/drift wave triads on periodic domains'. Communications in Nonlinear Science and Numerical Simulation, 18, 2402 . Available Online [DOI] Link to full text [Details]
M. E. Brachet, M. D. Bustamante, G. Krstulovic, P. D. Mininni, A. Pouquet, D. Rosenberg (2013) 'Ideal evolution of MHD turbulence when imposing Taylor-Green symmetries'. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87, 013110 . Available Online [DOI] Link to full text [Details]
Jamie Harris, Miguel D. Bustamante and Colm Connaughton (2012) 'Externally forced triads of resonantly interacting waves: Boundedness and integrability properties'. Communications in Nonlinear Science and Numerical Simulation, 17 :4988-5006. [DOI] Link to full text [Details]
Miguel D. Bustamante and Marc E. Brachet (2012) 'Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem'. Physical Review E, 86, 066302 . Link to full text [Details]
Miguel D. Bustamante; (2011) '3D Euler equations and ideal MHD mapped to regular systems: Probing the finite-time blowup hypothesis'. Physica D: Nonlinear Phenomena, 240 (13):1092-1099. [DOI] [Details]
E. Kartashova and M. D. Bustamante; (2011) 'Resonance clustering in wave turbulent regimes: Integrable dynamics'. Communications in Computational Physics, 10 :1211-1240. [DOI] [Details]
Bustamante, M. D. and Kartashova, E.; (2009) 'Dynamics of nonlinear resonances in Hamiltonian systems'. Europhysics Letters, 85, 14004 . [Details]
Cartes, C., Bustamante, M. D., Pouquet, A. and Brachet, M.; (2009) 'Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD'. Fluid Dynamics Research, 41, 011404 . [Details]
Peter Lynch and Miguel D Bustamante; (2009) 'Precession and Recession of the Rock'n'roller'. Journal of Physics A-Mathematical and General, 42, 425203 . Available Online [Details]
Bustamante, M. D. and Kartashova, E.; (2009) 'Effect of the dynamical phases on the nonlinear amplitudes' evolution'. Europhysics Letters, 85, 34002 . [Details]
Gibbon, J. D., Bustamante, M. D. and Kerr, R. M.; (2008) 'The three-dimensional Euler equations: singular or non-singular?'. Nonlinearity, 21 :T123-T129. [Details]
Bustamante, M. D. and Kerr, R. M.; (2008) '3D Euler about a 2D Symmetry Plane'. Physica D: Nonlinear Phenomena, 237 :1912-1920. [Details]
Bustamante, M. D., Van Diejen, J. F. and De la Maza, A. C.; (2008) 'Norm formulas for the Bethe ansatz on root systems of small rank'. Journal of Physics A-Mathematical and General, 41, 025202 . [Details]
Cartes, C., Bustamante, M. D. and Brachet, M.; (2007) 'Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics'. Physics of Fluids, 19, 077101 . [Details]
Chevalier, C., Bustamante, M. D. and Debbasch, F.; (2007) 'Thermal statistical ensembles of black holes'. Physica A-Statistical Mechanics and Its Applications, 376 :293-307. [Details]
Bustamante, M. D. and Hojman, S. A.; (2003) 'Multi-Lagrangians, hereditary operators and Lax pairs for the Korteweg-de Vries positive and negative hierarchies'. Journal of Mathematical Physics, 44 (10):4652-4671. [Details]
Bustamante, M. D. and Hojman, S. A.; (2003) 'Lagrangian structures, integrability and chaos for 3D dynamical equations'. Journal of Physics A-Mathematical and General, 36 :151-160. [Details]
Maldonado, O., Gottlieb, D., Bustamante, M. D. and Roessler, J.; (1999) 'Transversal effect in a metal-to-metal interface'. Physica Status Solidi B-Basic Research, 214 :315-325. [Details]
 

Conference Publications

Miguel D Bustamante (2013) Editorial IUTAM Symposium on Understanding Common Aspects of Extreme Events in Fluids Available Online [Details]
             

Reports

Miguel D. Bustamante (2015) Mud Filtration at Aughinish. Reports [Details]
                                                                                                 

Research

Research Interests

Fluid Dynamics: Vortex Reconnection, Finite-time Singularities, Turbulence, High-Resolution Numerical Simulations
Non-linear evolution of discrete wave systems: Number Theory Methods, Chaos, Discrete and Mesoscopic Wave Turbulence, High-Res Numerical Simulations
General Relativity: Embedding Approach

List of Preprints on arXiv (auto-updated)

Research Projects

Sponsor : University College Dublin (UCD)
Title : OBRSS Research Support Scheme
Start Date / End Date : 01-NOV-16 / 31-OCT-19
Sponsor : Enterprise Ireland (EI)
Title : Progress report on problem submitted to European Study Group with Industry, 2016
Start Date / End Date : 01-NOV-16 / 01-APR-17
Sponsor : University College Dublin (UCD)
Title : 118th European Study Group with Industry (Workshop)
Start Date / End Date : 01-APR-16 / 30-SEP-17
Sponsor : Irish Research Council (IRC)
Title : Triggering Strong Transfer Events in Nonlinear Optics and Water Waves
Start Date / End Date : 01-OCT-15 / 30-SEP-19
Sponsor : Science Foundation Ireland (SFI)
Title : Genesis and Development of Extreme Events in Fluids
Start Date / End Date : 01-APR-13 / 01-APR-17
Sponsor : Higher Education Authority (HEA)
Title : PRTLI 5: SimSci - Split Accounts School of Mathematical Sciences
Start Date / End Date : 01-MAR-11 / 31-DEC-16
Sponsor : Enterprise Ireland (EI)
Title : Precession Resonance and Strong energy Transfers in Nonlinear Systems
Start Date / End Date : 04-DEC-14 / 03-SEP-15
Sponsor : Science Foundation Ireland (SFI)
Title : 102nd European Study Group with Industry, ESGI102
Start Date / End Date : 13-MAY-14 / 14-NOV-14
Sponsor : University College Dublin (UCD)
Title : Genesis and Development of Extreme Events in Fluids
Start Date / End Date : 01-MAY-12 / 31-OCT-13
Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET)
Title : The nonlinear evolution of phases and energy cascades in discrete wave turbulence systems
Start Date / End Date : 01-OCT-11 / 30-SEP-13
Sponsor : Enterprise Ireland (EI)
Title : FP7 Proposal Preparation Coordinator Support CS/2013/722 - European Research Council
Start Date / End Date : 24-JAN-13 / 21-FEB-13
Sponsor : University College Dublin (UCD)
Title : Understanding Common Aspects of Extreme Events in Fluids
Start Date / End Date : 17-MAY-10 / 31-OCT-12
Sponsor : University College Dublin (UCD)
Title : International Collaborations on Extreme Events: Simulations, Analysis and Geometry
Start Date / End Date : 17-MAY-10 / 31-OCT-12
Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET)
Title : Singularities in three-dimensional Euler equations: Simulations and geometry
Start Date / End Date : 05-MAR-10 / 04-MAR-11
Sponsor : University College Dublin (UCD)
Title : Mathematical and Geometrical Aspects of Collapse in Three-Dimensional Fluid Structures
Start Date / End Date : 03-AUG-09 / 31-JAN-11

Recent Postgraduates

Recent Post-Graduate Students
Dr. Rachel Mulungye - Ph. D. earned at University College Dublin, Ireland (2016)
Dr. Jamie Harris (co-supervision with Colm Connaughton) - Ph. D. earned at University of Warwick, UK (2012)
Dr. Carlos Cartes (co-supervision with Marc Brachet) - Ph. D. earned at ENS Paris (2008)

Recent Post-Doctoral Researchers
Dr. Brenda Quinn (IRCSET grant holder October 2011- September 2013) - School of Mathematics and Statistics, UCD
Dr. Dan Lucas (SFI grant, October 2013 - September 2015) - School of Mathematics and Statistics, UCD

Current Post-Doctoral Researchers 
Dr. Breno Raphaldini (Brazilian Government grant, November 2015 - August 2016) - School of Mathematics and Statistics, UCD

Current Postgraduate Students

Brendan Murray, Doctor of Philosophy (PhD)   -   Thesis Supervisor
Shane Walsh, Doctor of Philosophy (PhD)   -   Thesis Supervisor

Teaching

Teaching Philosophy

Teaching must be excellent and research-inspired. Lectures must be prepared in advance, use examples, and gradually increase the difficulty level up to the highest. Emphasis is on students' active learning via in-class discussions and take-home assignments. Advanced students are challenged to solve "Bonus Questions", of the highest difficulty.
         

Collaborators

Internal Collaborators

Prof. Peter Lynch, School of Mathematics and Statistics, UCD, Ireland

Dr. Kevin Hutchinson, School of Mathematics and Statistics, UCD, Ireland

External Collaborators

Prof. Robert Kerr, Warwick Mathematics Institute, Warwick, UK

Prof. Marc Brachet, Ecole Normale Superieure, Paris, France
 
Prof. Annick Pouquet, University Corporation for Atmospheric Research, USA

Prof. John D. Gibbon, Imperial College, London, UK

Prof. Colm Connaughton, Warwick Mathematics Institute, Warwick, UK

Prof. Sergey Nazarenko, Warwick Mathematics Institute, Warwick, UK

Prof. Edriss S. Titi, UC Irvine, USA

Prof. Koji Ohkitani, SoMaS, University of Sheffield, UK

Prof. Luca Biferale, University of Roma Tor Vergata, Roma, Italy
 
Prof. Marc Perlin, University of Michigan, USA