Beyond Fermat's Last Theorem

Indian mathematician, Chandrashekhar Khare, has made an important leap in number theory with the publishing of a proof for the level-1 case of the Serre conjecture. Late last year, Khare and J.P. Wintenberger published a two part strategy to solving Serre conjecture. The strategy builds on the work of Andrew Wiles and Richard Taylor, en route to proving Fermat's last theorem. Khare is at work on the final proof of the Serre conjecture, although there is no timeline for the publication of his result.

For more information, see the following:

Mod l representations of arithmetic fundamental groups: Part I (An analog of Serre's conjecture for function fields) [PDF]

Lectures on Serre's Conjectures [PDF]

Fermat's Last Theorem: After 356 Years [PDF]