Tag Archives: Matthew Emerton

Jacquet-Langlands and an old R=T conjecture

Posted on January 12, 2019 by Persiflage

This is part 2 of a series of posts on R=T conjectures for inner forms of GL(2). (See here for part 1). (Edit: this is still incorrect and there should have been a part 3, but I’ve been distracted… in … Continue reading →

Posted in Mathematics, Uncategorized | Tagged , , , , , , , , , , , | 9 Comments

And then there were 8:

Posted on January 6, 2019 by Persiflage

News from Minnesota on the 8-author paper has arrived! http://math.uchicago.edu/~fcale/blog/8author.mp4

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

Irregular Lifts, Part I

Posted on October 19, 2018 by Persiflage

This post motivated in part by the recent preprint of Fakhruddin, Khare, and Patrikis, and also by Matt’s number theory seminar at Chicago this week. (If you are interested in knowing what the calendar is for the Chicago number theory … Continue reading →

Posted in Mathematics | Tagged , , , , , , , , | 7 Comments

Graduation Day

Posted on November 26, 2017 by Persiflage

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 →

Posted in Mathematics | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Schaefer and Stubley on Class Groups

Posted on October 28, 2017 by Persiflage

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 →

Posted in Mathematics, Students | Tagged , , , , , , , , , | 1 Comment

Swimming Leaderboard

Posted on September 29, 2017 by Persiflage

The first rule of number theory swim club is…talk about number theory swim club! Anyone can join, as long as you are a number theorist at the University of Chicago with a current gym membership. The standard meeting time is … Continue reading →

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

New Results in Modularity, Part II

Posted on June 23, 2017 by Persiflage

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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Pseudo-representations and the Eisenstein Ideal

Posted on March 29, 2017 by Persiflage

Preston Wake is in town, and on Tuesday he gave a talk on his recent joint work with Carl Wang Erickson. Many years ago, Matt and I studied Mazur’s Eisenstein Ideal paper from the perspective of Galois deformation rings. Using … Continue reading →

Posted in Mathematics | Tagged , , , , , , , , , | 5 Comments

Erdős Number 3!

Posted on March 26, 2017 by Persiflage

My chances at this point of writing a paper with Erdős are probably very small. My chances of writing a paper with one of Erdős’ collaborators is also quite small. I had assumed that I had not even met — … Continue reading →

Posted in Waffle | Tagged , , , , , , , | 6 Comments

Artin No-Go Lemma

Posted on December 13, 2016 by Persiflage

The problem of constructing Galois representations associated to Maass forms with eigenvalue 1/4 is, by now, a fairly notorious problem. The only known strategy, first explained by Carayol, is to first transfer the representation to a unitary group over an … Continue reading →

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