Journal Articles

[5] E.J. Staunton, P.T. Piiroinen,
Discontinuity Mappings for Stochastic Nonsmooth Systems
Accepted for publication in Physica D: Nonlinear Phenomena,
2020

[4] E.J. Staunton, P.T. Piiroinen,
Estimating the Dynamics of Systems with Noisy Boundaries,
Accepted for publication in Nonlinear Analysis: Hybrid Systems,
Volume 36, May 2020, DOI: 10.1016/j.nahs.2020.100863

[3] E.J. Staunton, P.T. Piiroinen,
Noise-induced multistability in the square root map, (Preprint here)
Nonlinear Dynamics,
Volume 95, 2019, Pages:769-782, DOI: 10.1007/s11071-018-4595-1

[2] E.J. Staunton, P.T. Piiroinen,
Noise and Multistability in the Square Root Map,
Physica D: Nonlinear Phenomena,
Volumes 380-381, 2018, Pages 31-44, ISSN 0167-2789, DOI:10.1016/j.physd.2018.06.002

[1] J.M. Burns, E. Staunton, D.J. Wraith,
On the Jacobi Equation and Manifolds with Multiple Conjugate Points,
Mathematical Proceedings of the Royal Irish Academy,
113(1):19-30, 2013 DOI:10.3318/PRIA.2013.113.03

Recent Research Talks, Conferences & Workshops

  • PhD Viva Presentation,
    Noise in Nonsmooth Dynamical Systems,
    National University of Ireland, Galway, November 22 2019.
  • Irish Mathematical Society Annual Meeting,
    Noise and Bisability in the Square Root Map,
    National University of Ireland, Galway, September 5-6 2019.
  • SIAM UKIE National Student Chapter Conference,
    Boundary Noise in Chua's Circuit,
    University of Manchester, UK, June 10-11 2019.
  • SIAM Conference on Applications of Dynamical Systems (DS19),
    Linearising Nonsmooth Flows with Stochastic Discontinuity Boundaries,
    Snowbird, Utah, USA, May 19-23 2019.
  • NUI Galway School of Maths Research Day,
    Boundary Noise in Chua's Circuit,
    NUI Galway, 10 April 2019.
  • Irish SIAM Student Conference 2019,
    Linearising Piecewise-Smooth Flows with Stochastic Discontinuity Boundaries,
    University of Limerick, Jan 18 2019.
  • International Symposium on Nonlinear Theory and Its Applications (NOLTA2018),
    Noise and Bistability in the Square Root Map: Conference Paper, Talk, Poster,
    Palau de Congressos de Tarragona, Tarragona, Spain, September 2-6, 2018
  • SIAM Annual Meeting 2018,
    Noise and Multistability in the Square Root Map,
    Oregon Convention Centre, Portland OR, July 9-13 2018
  • SIAM UKIE National Student Chapter Conference,
    Noise and Bistability in the Square Root Map,
    University of Bath, 18-19 June 2018
  • International Conference on Advances in Nonsmooth Dynamics,
    Noise and Multistability in the Square Root Map,
    Engineers House, Bristol, 13-15 June 2018.
  • NUI Galway School of Maths Research Day,
    A Noisy Saltation Matrix, Poster Competition - Second Prize,
    NUI Galway, 3 May 2018.
  • NUI Galway - UL Alliance 7th Postgraduate Research Day,
    Noise and Multistability in the Square Root Map, Poster Competition - First Prize,
    NUI Galway, 19 Apr 2017.
  • NUI Galway School of Maths Research Day,
    Noise and Multistability in the Square Root Map, Poster Competition - First Prize,
    NUI Galway, 5 Apr 2017.
  • SIAM Student Conference 2016 - Noise and Multistability in the Square Root Map,
    University of Limerick, Dec 7 2016.
  • Open Problems in Nonsmooth Dynamics,
    Centre de Recerca Matematica, UAB, Barcelona, Feb 1-5 2016.
  • COST Action TD1210 KNOWeSCAPE meeting - Ways of seeing: Multidisciplinary workshop on visualisation and analysis,
    NUI Galway, Apr 23-25 2014.
  • NUI Galway Modelling Research Group,
    NUI Galway, Sep 2013 - Present.
  • NUI Galway - UL Alliance 4th Postgraduate Research Day,
    Building a Model of the Industry Space & Skill Space of Ireland, ''Threesis'' competition runner up,
    University of Limerick, 20 May 2014.


  • Community Talks

  • Mathematics in Wonderland,
    NUI Galway Mathematics Society, 21st February 2019.


  • Theses

    PhD Thesis:
    Noise in Nonsmooth Dynamical Systems, Submitted September 2020, Supervised by:
    Dr Petri Piiroinen from the School of Mathematics, Statistics and Applied Mathematics, NUIG,

    MSc Thesis:
    Dynamic Spatial Networks and Economic Development, Submitted May 2015, Supervised by:
    Dr Petri Piiroinen from the School of Mathematics, Statistics and Applied Mathematics, NUIG,
    Dr Srinivas Raghavendra from the College of Business, Public Policy and Law, NUIG and
    Dr Jim Duggan from the College of Engineering and Informatics, NUIG.

    BSc Thesis:
    Infinitesimals, Nonstandard Analysis and Applications to Finance, Submitted January 2013, Supervised by:
    Dr Ray Ryan from the School of Mathematics, Statistics and Applied Mathematics, NUIG.

    Academic Awards and Scholarships

  • 2015-2019: Government of Ireland PhD Scholarship from the Irish Research Council
  • 2018: Best Student Paper Prize at the 2018 International Symposium on Nonlinear Theory and Its Applications.
  • 2018: Shortlisted for Student Paper Prize at NOLTA 2018
  • 2018: SIAM Student Travel Award (AN18)
  • 2018: SIAM Student Chapter Certificate of Recognition
  • 2018: Poster Prize - Second Place at the NUI Galway School of Mathematics, Statistics and Applied Mathematics Research Day
  • 2017: Poster Prize - First Place at the University of Limerick - NUI Galway Postgraduate Research Day
  • 2017: Poster Prize - First Place at the NUI Galway School of Mathematics, Statistics and Applied Mathematics Research Day
  • 2015: Hardiman PhD Scholarship from NUI Galway - Declined
  • 2013-2015: Research MSc. Scholarship in Applied Mathematics from NUI Galway
  • 2014: Thesis in Three runner-up at the University of Limerick - NUI Galway Postgraduate Research Day
  • 2013: First Derivatives Best In Class Award - Financial Mathematics and Economics, NUI Galway
  • 2012: Hamilton Prize from The Royal Irish Academy
  • 2011 & 2012: Summer Internship Scholarships from the School of Mathematics, Statistics and Applied Mathematics, NUI Galway
  • 2010, 2011 & 2012: University Scholar Awards from NUI Galway
  • 2009: Academic Excellence Scholarship from NUI Galway