Category Archives: Mathematics

The True Heirs To Ramanujan

If you are in need of some light relief, you could do worse than peruse the opinions of Doron Zeilberger, who, if viewed strictly through the lens of these ramblings, appears to have a relationship with theoretical mathematics something along … Continue reading

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Public Displays of Mathematics

Let me start by saying that I’m in favor of making the effort to both educate the public about mathematics (as well as science more generally) and to convey to them a sense of the excitement of our discipline. But … Continue reading

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MSRI Now

Continuing on the theme of the last post (Buzzard related viral videos), you can now view Buzzard’s MSRI course (in progress at the time of this post) online here. Having previously excoriated MSRI for restricting how many people can attend … Continue reading

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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

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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

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Elementary Class Groups Updated

In a previous post, I gave a short argument showing that, for odd primes p and N such that the p-class group of is non-trivial. This post is just to remark that the same argument works under weaker hypotheses, namely: … Continue reading

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Who proved it first?

During Joel Specter’s thesis defense, he started out by remarking that the -expansion: is a weight one modular forms of level and moreover, for prime, is equal to the number of roots of modulo minus one. He attributed this result … Continue reading

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