Author Archives: galoisrepresentations

Graduation Day

This last summer, I undertook my last official activity as a faculty member at Northwestern University, namely, graduation day! (I had a 0% courtesy appointment for two years until my last Northwestern students graduated.) Here I am with four of … Continue reading

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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. Recal that, for a smooth projective variety X over a number field F unramified outside … Continue reading

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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

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Schaefer and Stubley on Class Groups

I talked previously about work of Wake and Wang-Erickson on deformations of Eisenstein residual representations. In that post, I also mentioned a paper of Emmanuel Lecouturier who has also proved some very interesting theorems. Today, I wanted to talk about … Continue reading

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J’accuse!

I found the following documentary remarkable and quite interesting. Without offering here any opinion on its merits, I certainly give it credit for taking an unpopular position and sticking with it. This blog is no stranger to challenging perceived wisdom, … Continue reading

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Mathieu Magic

I previously mentioned that I once made (in a footnote) the false claim that for a 11-dimensional representation V of the Mathieu group M_12, the 120 dimensional representation Ad^0(V) was irreducible. I had wanted to write down representations W of … Continue reading

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Commuting

I found out a good way to describe how long my commute is: about three minutes more than the length of the second movement of Beethoven’s 9th (the greatest movement!) On the other hand, that measure proved inaccurate the very … Continue reading

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