Below are the talks I have given at conferences and at university colloquia. In many cases, the slides are available.

• Irrational Bases for Natural Numbers, at Spring 24 Meeting of the MD/DC/VA Section of the MAA, James Madison University, April 2024.

• A tour of 3D printed mathematics (with Laura Taalman), at

  • Department of Mathematics and Statistics, James Madison University, August 2022.

  • Heidelberg Experimental Geometry Lab (zoom), June 2022.

• Which dice win at Chutes & Ladders, or “Chuteless & Ladderless,” at 4th Mathematics Of Various Entertaining Subjects (MOVES) Conference, CUNY, New York, August 2019.

• Crazy bases: fractions and TwoandThree, at Department of Mathematics and Statistics, James Madison University, March 2019.

• So you think you can extract roots?, at Department of Mathematics and Statistics, James Madison University, September 2016.

• Who wins when playing Dreidel, at 2nd Mathematics Of Various Entertaining Subjects (MOVES) Conference, Museum of Mathematics, New York, August 2015.

• Numerically evaluating oscillating infinite integrals, and a failed (of course!) integral approach to the Riemann hypothesis, at

  • Department of Mathematics and Statistics, James Madison University, September 2014.

  • Department of Mathematics, University of Tennessee, November 2005

• Representing Numbers Using Fibonacci Variants, at

  • Department of Mathematics and Statistics, James Madison University, September 2013.

  • 1st Mathematics Of Various Entertaining Subjects (MOVES) Conference, Museum of Mathematics, New York, August 2013.

• Simple heteroclinic orbit examples in the plane, at 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, July 2012.

• Different differential equations with the same solution, at 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, July 2012.

• So you think you can divide?, at Department of Mathematics and Statistics, James Madison University, October 2011.

• So you think you can multiply?, at Department of Mathematics and Statistics, James Madison University, April 2011.

• https://drive.google.com/file/d/1Ch0GkdfMxvusqyqMLTB2QrOVsylTKH57/view?usp=sharingThe Power Series Method for Odes, at SEARCDE-2010 (30th Southeastern-Atlantic Regional Conference on Differential Equations), Virginia Tech, October 2010.

• Fractals in Cubic Graphs & Hamiltonian Cycles, at Department of Mathematics, Virginia Military Institute, March 2010.

• So you think you can subtract?, at Department of Mathematics and Statistics, James Madison University, November 2009.

• Fractals in the spectra of cubic graphs, at

  • Fall 2009 Meeting of the MD/DC/VA Section of the MAA, Goucher College, November 2009.

  • 15th INFORMS Applied Probability Conference, Cornell University, July 2009.

• Taylor series without high order derivatives, at Spring 2009 Meeting of the MD/DC/VA Section of the MAA, University of Mary and Washington, April 2009.

• Integral approximations to π with nonnegative integrands, at Spring 2008 Meeting of the MD/DC/VA Section of the MAA, James Madison University, April 2008.

• Computation for fun, not profit, at Department of Mathematics and Statistics, James Madison University, March 2008.

• π formulas, at Department of Mathematics and Statistics (for Student Mathematics Society), James Madison University, March 2008.

• Maximising output from oil reservoirs without water breakthrough, at

  • Department of Mathematics and Statistics, James Madison University, February 2008.

  • Department of Mathematics, University of Central Arkansas, March 2005.

  • Department of Mathematics, University of Tennessee, March 2005

  • Service des Measures, SUPELEC, France, June 2002.

  • School of Mathematical Sciences, University of Delaware, April 2002.

  • Australian applied mathematics conference, Canberra, ACT, February 2002.

• A direct proof of the prime number theorem, at

  • Department of Mathematics, James Madison University, September 2006.

  • Department of Mathematics, University of Tennessee, February 2005.

  • Service des Measures, SUPELEC, France, June 2002.

  • School of Mathematics, Cardiff University, May 2002.

• Extrapolation methods for slowly convergent sequences, at Department of Mathematics, University of Tennessee, November 2005. 

• An integral that converges too quickly, at School of Mathematics and Statistics, University of South Australia, April 2004.

• On cubic graphs and Hamiltonian cycles, at Australian applied mathematics conference, Auckland, New Zealand, February 2004. Received “Cherry Ripe” prize for best talk by an academic as voted by the postgraduate students for this talk.

• On using bounded continued fractions to represent reals, at ICIAM 2003, Darling Harbour NSW, July 2003.

• A generalisation of the weighing puzzle, at School of Mathematics and Statistics, University of South Australia, June 2003. 

• Attendance at Mathematics-in-Industry Study Group (MISG), 1998-2003, problem moderator in 2000 and 2003.

• Another look at finding continued fractions, at School of Mathematics, University of South Australia, November 2002.

• Computations for time-optimal bang-bang control using a Lagrangian formulation, at

  • IFAC2002 World Congress, Barcelona, July 2002.

  • Service des Measures, SUPELEC, France, June 2002.

• A shooting style algorithm for bang-bang control, at Australian applied mathematics conference, Barossa Valley, SA, February 2001.

• Extrapolation and some slowly converging sequences, at

  • Australian Applied Mathematics annual conference, Mollymook, NSW, February 1999

  • School of Mathematics, University of South Australia, March 1999.

• Numerically evaluating oscillating infinite integrals, at Australian Applied Mathematics annual conference, Coolangatta, QLD, February 1998.

• Steady state current at single and periodic arrays of surface microelectrodes, at School of Mathematics, University of South Australia, October 1997.

• A study of reaction-diffusion problems for domains bounded by periodic source/sink distributions on planar surfaces: an application to microelectrode processes, at

  • Australian Applied Mathematics annual conference, Lorne, VIC, February 1997.

  • BEM 17 conference, University of Wisconsin, Madison, July 1995.

  • AIChE annual conference, San Francisco CA, November 1994.

• A brief outline of the Boundary Element Method, at School of Mathematics, University of South Australia, December 1996.

• Applications of the BEM to rotating viscous flows and periodic arrays of microelectrodes, at

  • School of Mathematics, University of South Australia, March 1996.

  • Department of Mathematics, University of Southern Queensland, February 1996.

  • Department of Mathematics, University of Western Australia, December 1995.

  • Two problems in mixed boundary value problems, at Department of Mathematics, Massachusetts Institute of Technology, November 1995.

• Particle motion in rotating viscous flows, invited talk at BEM 17 conference, University of Wisconsin, Madison, July 1995.

• Solving the water coning problem by a 3d boundary integral method, at

  • APS annual Fluid Mechanics conference, Albuquerque NM, November 1993.

  • Department of Mathematics, Australian Defense Forces Academy, April 1991.

  • Department of Mathematics, University of Sydney, March 1991.

  • Australian Applied Mathematics annual conference, Hanmer Springs New Zealand, February 1991. Received T.M. Cherry prize for best student talk at this conference.

• Formulation of the time dependent water coning problem, at Australian Applied Mathematics annual conference, Adelaide SA, February 1993. 

• A collocation expansion approach to the boundary integral method, at 

  • Department of Chemical Engineering, University of Wisconsin, Madison, August 1992.

  • BETECH-92 annual conference, Albuquerque NM, August 1992.

  • Australian Applied Mathematics annual conference, Batemans Bay NSW, February 1992.

• Water coning in oil reservoirs, at CTAC-89 biennial conference, Brisbane QLD, July 1989.