Slide-sets of selected talks.

• [45] Counting Sets with Surreal Numbers.
  Gathering for Gardner: Celebration of Mind, 21 December 2023.
  PDF of lecture slides.

• [44] The Enduring Wonders of Enormous Numbers.
  India-Ireland Friendship Lecture Series, 3 November 2022.
  PDF of lecture slides. Video. Lecture starts at 11 minutes.

• [43] Levels of Infinity.
  Berkeley Lecture, Maynooth University, 29 September 2022. PDF .
  

• [42] Parity and Partition of the Rational Numbers.
  Irish Mathematical Society Meeting.TUD, 2 September 2022. PDF .
  

• [41] Image Processing Emerges from the Shadows: Determining the Time and Date from Shadows in a Photograph.
  Dublin Area Mathematics Meetup. Riot Games, Dublin, 23 June 2022. PDF .
  

• [40] The Origins of Computer Weather and Climate Prediction: Fulfilment of Richardson's Dream.
  Mathematics of Planet Earth Exhibition. Imperial College London, 30 May 2022. PDF .
  

• [39] Stokes's Fundamental Contributions to Fluid Dynamics.
  Irish History of Mathematics Conference, Maynooth, 2 August 2019
  Presentation Slides: PDF. Presentation Slides: PDF2.

• [38] Integrable Elliptic Billiards & Ballyards.
  Seminar, Imperial College London, 24 July 2019. PDF.

• [37] Magnums: Counting Sets with Surreal Numbers.
  Seminar, School of Mathematics and Statistics, UCD, 23 April 2019. PDF.

• [36] Mathematics and Music: Symmetry and Symbiosis.
  RDS Library Speaker Series, Minerva Suite, RDS Dublin, Wednesday 14 March 2018
  Presentation Slides PDF.

• [35] Numerical Weather Prediction: A Laplace Transform Scheme for Integration of the Forecast Equations
  Seminar, School of Mathematical Sciences, University College Cork, 8 March 2018
  Presentation Slides PDF.

• [34] Pedro Nunes and the Retrogression of the Sun.
  Irish Mathematical Society. Annual Meeting, IT Sligo, 31 August 2017
  Presentation Slides PDF.

• [33] Boxes & Loops in Circles & Ovals, Billiards & Ballyards, Squircles & Squovals.
  New Trends in Geometric Mechanics, ICMAT Madrid, 3-7 July 2017
  Presentation Slides PDF.

• [32] Replication of Léon Foucault's Pendulum Experiment in Dublin.
  Irish History of Mathematics Conference,Dublin, 9 June 2017
  Presentation Slides PDF.

• [31] The Fractal Boundary for the Power Tower Function.
  Recreational Mathematics Colloquium V, Lisbon, 30 January 2017
  Presentation Slides PDF.

• [30] A Painless Overview of the Riemann Hypothesis [Proof Omitted].
  40th Anniversary of the Irish Mathematical Society. UCD, Dublin, 20 December 2016.
  Presentation Slides PDF. Slides (B/W) without buildups (to print) PDF.
  

• [29] The Emergence of Numerical Weather Prediction: Fulfilment of a Dream & Realization of a Fantasy.
  Mathematics of Planet Earth Jamboree. Reading University, 23 March 2016. PDF .
  

• [28] The Prehistory of Numerical Weather Prediction: Some Austrian Contributions.
  ICAM, Innsbruck, Austria, 31 August-4 September 2015. PDF .
  

• [27] Balanced Flow on the Spinning Globe.
  14th EMS Annual Meeting, Prague, Czech Republic, 7th October 2014. PDF .
  Longer version at Irish Met. Soc, 20 Nov. 2014: PDF

• [26] Numerical Integration using Laplace Transforms.
  Centenary Celebrations of the Royal Meteorological Institute IRM/KMI,
  Brussels, 26-27 September, 2013. PDF

• [25] International Summer School on Atmospheric and Oceanic Science
  L'Aquila, September 16-20, 2013.
  • [1] The Emergence of Numerical Weather Prediction: Parts I and II. (PDF).
  • [2] Resonant Rossby-Haurwitz Triads. (PDF).
  • [3] Laplace Transform Integration of the Shallow Water Equations. (PDF).

• [24] Laplace Transform Integration & the Slow Equations.
  PDEs on the Sphere Workshop, Isaac Newton Institute,
  26 September 2012. (PDF. 3.3 Mbytes)

• [23] Quaternion Solution for the Rock'n'roller: Box and Loop Orbits.
  IUTAM Symposium "From Mechanical to Biological Systems - an Integrated Approach".
  Udmurt State University, Izhevsk, Russia, June 5-10, 2012. (Talk).

• [22] The Development of Computer Weather Forecasting in Ireland.
  Irish Meteorological Society Meeting, Botanic Gardens, Glasnevin, 10 November 2011. (PDF)

• [21] Summer School, Banff International Research Station, July 10-15, 2011:
  Advanced Mathematical Methods to Study Atmospheric Dynamical Processes and Predictability.
  • [1] The Emergence of Numerical Weather Prediction: from Richardson to the ENIAC. (PDF). Video.
  • [2] Balance in the Atmosphere: Implications for NWP. (PDF)
  • [3] Laplace Transform Integration of the Shallow Water Equations. (PDF)

• [20] Simple Mechanical Models & Complex Physical Systems.
  UCD/TCD Mathematics Summer School, Belfield, 30 May 2011. (PDF. 5.5 Mbytes)

• [19] Balance in the Atmosphere.
  Irish Meteorological Society Annual Meeting NUIM, 26 March 2011. (PDF. 1.7 Mbytes)

• [18] The Curious Behaviour of the Rock'n'roller: Part II.
  ISSEC/Irish Mechanics Society Meeting, UCD, 20 May 2010. (PDF. 2.1 Mbytes)

• [17] Resonant Rossby-Haurwitz Triads.
  MACSI Seminar, University of Limerick, 28 November, 2008. (PDF. 3.8 Mbytes)

• [16] A Century of Numerical Weather Prediction.
  Royal Meteorological Society Meeting, Edinburgh, 10 October, 2008. (PDF. 6.8 Mbytes)

• [15] Calculating the Weather: The Mathematics of Atmospheric Modelling.
  Invited talk, Irish Mathematical Society, UCD, 3 Sept., 2007. (PDF. 5.4 Mbytes)

• [14] IUGG General Assembly, Perugia, July, 2007.
  
  1. The Emergence of Numerical Weather Prediction: Richardson's Dream to the ENIAC (PDF. 6.1 Mbytes)
  2. Energy Spectra from Entropy Principles (PDF.)
  3. Reconstrucing the ENIAC Forecasts using the NCEP/NCAR Reanalysis. (PDF. POSTER)

• [13] The ENIAC Forecasts: a Recreation.
  Irish Mechanics Society, UCD, 9 May, 2007. (PDF. 7.1 Mbytes)

• [12] The Emergence of Weather and Climate Modelling: Richardson's Dream
  Royal Meteorological Society Meeting, Reading, 25 April, 2007. (PDF. 5.3 Mbytes)

• [11] Climate Change Prediction: The Big Crunch
  IOP Spring Meeting, Birr, 31 March, 2007. (PDF. 3 Mbytes) (PPT. 13 Mbytes)

• [10] The Energy Spectrum of the Atmosphere
  Lorentz Centre, University of Leiden, 2 October, 2006. (PPT. 1.5 Mbytes)

• [9] Richardson's Dream: the Emergence of Scientific Weather Forecasting
  Seminar at Institute for Atmospheres and Climate, ETH, Zürich, 5 December, 2005. (PDF. 12 Mbytes)

• [8] Weather & Climate: Prediction from Days to Decades.
  Inaugural Lecture, UCD, 22 September, 2005. (PDF. 10 Mbytes)

• [7] A Century of Numerical Weather Prediction: the View from Limerick
  Seminar at University opf Limerick, 18 March, 2005. (PDF. 6 Mbytes)

• [6] Resonant Dynamics near the Triangular Lagrange Points.
  Seminar at the U.S. Naval Observatory, Washington D.C., 14 June, 2004. (PDF. 1.4 Mbytes)

• [5] Richardson's Forecast: What Went Wrong?
  Symposium on the 50th Anniversary of Operational Numerical Weather Prediction,
  University of Maryland, College Park, MD 14-17 June, 2004. (PDF. 5.5 Mbytes)

• [4] Resonant Rossby Wave Triads and the Swinging Spring.
  Dept. of Meteorology, Reading University, 2 Feb., 2004. (PDF. 1.5 Mbytes)

• [3] Recent Developments in Digital Filter Initialization.
  IUGG General Assembly, Sapporo, 1 July, 2003. JSM13 (PDF. 497 Kbytes)

• [2] The Navier-Stokes Equations: The Key to Modern Weather Forecasting.
  Stokes Centenary Conference, 19-20 June, 2003. Royal Irish Academy. (PDF. 8.2 Mbytes)

• [1] Weather Forecasting: from Woolly Art to Solid Science.
  Irish Meteorological Society, 5th December, 2003. (PDF. 12 Mbytes)