Once Upon a Time in Egypt: How the Story of Rational Points Began

26 November 2012
Simon Myerson

A nice bed-time story to end the term. It is often said that ideas like the group law or isogenies on elliptic curves were 'known to Fermat' or are 'found
in Diophantus', but this is rarely properly explained. I will discuss the first work on rational points on curves from the point of view of modern number
theory, asking if it really did anticipate the methods we use today.

  • Junior Number Theory Seminar