I remember once going to see him when he was lying ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."
-G.H. Hardy on Ramanujan

The integer partitions of a number (that is those sets of integers which sum to give a given number) is one of the simplest, and thus oldest, problems in mathematics. Yet in this strange and apparently trivial field, we find a host of different techniques and ideas- tying together several disparate areas of mathematics to bring a single result to account.

Among those covered will be Fermat's two squares theorem (often referred to as one of the most beautiful results in all of mathematics), Golbach's conjecture will be touched upon, and lives will be enriched. Come join the enrichment as Cosmin Davidescu- a man so 'number theory', he was probably using frey curves in the womb- opens the door to this most intriguing area.

Then Pub-based fun. Monady MS03 7:30-9:00.