Tag Archives: Kevin Buzzard

More or less OPAQUE

I recently talked with Lynnelle Ye (a soon to be graduating student of Mark Kisin) for a few hours about her thesis and related mathematics. In her thesis, she generalizes (in part) the work Liu-Wan-Xiao on the boundary (halo) of … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , | 3 Comments

Mazur 80

Last week I was in Cambridge for Barry’s 80th birthday conference. If you are wondering why it took so long for Barry to get a birthday conference, that’s probably because you didn’t know that there was *also* a 60th birthday … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 17 Comments

Abelian Surfaces are Potentially Modular

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

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

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

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

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

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

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

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 , , , , , , , , , , , , , , , | 8 Comments