In October 1996 I gave a public lecture The [then] recently discovered world record prime number (63 KB). A html version may be accessed here.

In November 1996 I gave a public lecture  Prime Numbers and Public-key Cryptography  (56 KB). I gave a better (I think!) and more expanded version of this lecture in September 1998 (the Clinton-Ahern lecture below), and so I don't give a html version here.

In May 1998 I gave a three and a half hour talk (with a short coffee break!) to Mathematics and Computer staff in the Cork Institute of Technology. The title of my talk was On the use of MAPLE in the St. Patrick's College, Drumcondra (43 KB).  A html version may be accessed here.

In September 1998 the U.S. President, Bill Clinton, during a visit to Ireland, together with the Irish Prime Minister, Bertie Ahern, engaged in an 'historic, first digital signing of a treaty on e-commerce' between the U.S. and Irish governments. In November 1998 I gave a public lecture called Bill Clinton, Bertie Ahern, and digital signatures (128 KB in size). A html version is available here (subsequently, having been invited to give that same talk in Chicago (Oct-Nov 2003), I made some improving alterations, and that altered version is available below). 

An article by me in the Irish Times of Mon. 16th. Nov. 1998, about the Clinton-Ahern lecture, may be viewed here.

Early in 1999 Wiland Schmale of Oldenburg University (Germany) asked me if he could use my Clinton-Ahern lecture as the basis for a public lecture by himself (as one of a series to be given in Oldenberg, marking the 25^th anniversary of its university), and I was happy to do so. His lecture, in html format - in German - may be accessed here.

In August 1999 I gave two talks (using Maple) in Plymouth, England, at the ICTMT4 (the 4^th International Conference on the use of Technology in Mathematics Teaching):

1. Using Maple to investigate L- and R-approximations to quadratic irrationalities (mws format (34KB), and in html format (38KB, with an images folder))

2. The mathematical context of the recent (25^thJuly 1999) discovery of the largest known composite Fermat number (mws format (60KB). A html version is available here (70KB)

On Thursday 28^th October 1999, I offered a public lecture entitled The history of Fermat numbers from August 1640. The background to that lecture was my discovery, with Yves Gallot, in July 1999 of the [then] largest known composite Fermat number. That record has now (February 2003, and - to everyone's surprise - October 2002) been surpassed by Yves Gallot, George Woltman, Paul Jobling and myself (see here)

The mws file may be downloaded here (134 KB), and a html format version may be downloaded here. 

On Thursday 23^rd March 2000 I gave a talk - A Prime For The Millennium - to the student mathematics society at University College Cork. In my talk (whose title is taken directly from my recently published booklet) I attempted to sketch what one might call classical primality testing, with particular emphasis on ideas of Henry Cabourn Pocklington. Because of generous sponsorship from Turlough Crowe of Allied Irish Banks, Elaine Bragg of Adept Scientific, Charlie Hipwell of Pfizer, and Gerry McGovern of Irish Internet consulting and development company Nua, I was able to present every student present with a copy of my booklet. Many thanks to these companies (I wrote to forty-five altogether) for their enlightened support.

The Maple mws file (176KB) of my talk may be accessed here, and various html files of it may be accessed here: UCC_2000.html (453 bytes), UCC_20001.html (106KB) or UCC_2000TOC.html (267 bytes).

In August 2001 I gave a talk (using Maple), in Klagenfurt, Austria, at the ICTMT5 (the 4^th International Conference on the use of Technology in Mathematics Teaching): Fermat's 'little' theorem. It would not be accurate to say I gave the talk at Klagenfurt; rather, at Klagenfurt, I introduced my massive Maple worksheet on that celebrated topic.

In Chicago, October-November 2003, at the 16^th International Conference on the use of Technology in Collegiate Mathematics (ICTCM16) I gave a Bill Clinton, Bertie Ahern, and digital signatures (96 KB in size) talk. A html version is available here.