Tag Archives: Kevin Buzzard

Abelian Surfaces are Potentially Modular

Posted on November 11, 2017 by Persiflage

Today I wanted (in the spirit of this post) to report on some new work in progress with George Boxer, Toby Gee, and Vincent Pilloni. Edit: The paper is now available here. Recal that, for a smooth projective variety X … Continue reading →

Posted in Mathematics | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

Jobs Related Public Service Announcements

Posted on November 4, 2017 by Persiflage

Job season is upon us. Now is probably a good time to give applicants (and letter writers!) a few pointers. Of course, there are many other sources of advice on this topic, so let me try to narrow the focus … Continue reading →

Posted in Politics | Tagged , , , , , | 1 Comment

MSRI Now

Posted on July 29, 2017 by Persiflage

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 →

Posted in Mathematics | Tagged , , , , , , , , | 2 Comments

Redraw the Balance

Posted on July 17, 2017 by Persiflage

This video would be inspiring even if it didn’t star someone that I know: I suspect that Tamzin’s other youtube video will probably not end up with 20+ million views, being somewhat more…technical, I guess you could say. Of course, … Continue reading →

Posted in Politics | Tagged , , , | 2 Comments

Complain about MSRI day

Posted on February 28, 2017 by Persiflage

I will be heading off later this week to the Academic Sponsors’ Day at MSRI, going as Shmuel’s proxy for uchicago. I’m not sure to what extent (if any) there is for me to make policy suggestions, but any comments … Continue reading →

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

Central Extensions and Weight One Forms

Posted on May 23, 2016 by Persiflage

As mentioned in the comments to the last post, Kevin Buzzard and Alan Lauder have made an extensive computation of weight one modular forms in characteristic zero (see also here). Thinking about what that data might contain, I wondered about … Continue reading →

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

144169

Posted on May 12, 2015 by Persiflage

The space of classical modular cuspforms of level one and weight 24 has dimension two — the smallest weight for which the dimension is not zero or one. What can we say about the Hecke algebra acting on this space … Continue reading →

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

Review of Buzzard-Gee

Posted on March 3, 2015 by Persiflage

This is a review of the paper “Slopes of Modular Forms” submitted for publication in a Simons symposium proceedings volume. tl;dr: This paper is a nice survey article on questions concerning the slopes of modular forms. Buzzard has given a … Continue reading →

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

Is Serre’s conjecture still open?

Posted on August 10, 2014 by Persiflage

The conjecture in this paper has indeed been proven. But that isn’t the entire story. Serre was fully aware of Katz modular forms of weight one. However, Serre was too timid was prudently conservative and made his conjecture only for … Continue reading →

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

The distribution of Hecke eigenvalues, part II

Posted on August 1, 2014 by Persiflage

Here are some numbers from KB promised in my last post. “For the first 61595 newforms of squarefree level coprime to 15 here’s the field extension of Z/3Z generated by the \(a_5\) field extensions:” \([\mathbf{F}_3(a_5):\mathbf{F}_3]\) Total Number Number of Galois … Continue reading →

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