Tag Archives: Modularity

New Results in Modularity, Part II

This is part two of series on work in progress with Patrick Allen, Ana Caraiani, Toby Gee, David Helm, Bao Le Hung, James Newton, Peter Scholze, Richard Taylor, and Jack Thorne. Click here for Part I It has been almost … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

New Results In Modularity, Part I

I usually refrain from talking directly about my papers, and this reticence stems from wishing to avoid any appearance of tooting my own horn. On the other hand, nobody else seems to be talking about them either. Moreover, I have … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

There are no unramified abelian extensions of Q (almost)

In my class on modularity, I decided to explain what Wiles’ argument (in the minimal case) would look like for . There are two ways one can go with this. On the one hand, one can try to prove (say) … Continue reading

Posted in Mathematics, Uncategorized | Tagged , , , | Leave a comment