Category Archives: Uncategorized

Referee Requests

Posted on April 11, 2019 by Persiflage

################################################### From: Mathematics Editorial Office Subject: [Mathematics] Review Request Date: December 26, 2018 at 7:43:31 AM CST Dear Professor Calegari, Happy new year. We have received the following manuscript to be considered for publication in Mathematics (http://www.mdpi.com/journal/mathematics/) and kindly invite … Continue reading →

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Local-global compatibility for imaginary quadratic fields

Posted on January 16, 2019 by Persiflage

One of the key steps in the 10-author paper is to prove results on local-global compatibility for Galois representations associated to torsion classes. The results proved in that paper, unfortunately, fall well-short of the optimal desired local-global compatibility statement, because … Continue reading →

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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 →

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Jacquet-Langlands and a new R=T conjecture

Posted on January 8, 2019 by Persiflage

It is somewhat mysterious how one should formulate the Jacquet-Langlands correspondence integrally, particularly in the presence of torsion classes. Even the classical case has many subtleties including for example some results in this paper of Ribet. In the case of … Continue reading →

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A strange continuity

Posted on November 25, 2018 by Persiflage

Returning to matters OPAQUE, here is the following problem which may well now be approachable by known methods. Let me phrase the conjecture in the case when the prime p = 2 and the level N = 1. As we … Continue reading →

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Irregular Lifts, Part II

Posted on October 28, 2018 by Persiflage

This is the global counterpart to the last post. I was going to write this post in a more general setting, but the annoyances of general reductive groups got the better of me. Suppose we fix the following: A number … Continue reading →

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Fan Mail

Posted on February 14, 2018 by Persiflage

Edit: A previous version of this post has been edited upon request. Somewhat less salaciously, I received a Christmas card from an academic couple of whom I am absolutely sure I have never met. (I just checked my mailbox at … Continue reading →

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Thoughts on Paris

Posted on May 25, 2017 by Persiflage

Nothing is more pretentious or annoying than when an American offers, uninvited, their opinions of Paris. Here, then, are some of mine. Starting the day with a two hour lecture on elliptic integals:OUI: Who does not get a slight frisson … Continue reading →

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Return to Northwestern

Posted on April 21, 2017 by Persiflage

Today I returned to Northwestern, taking part in both the communal faculty lunch and the post prandial espresso. Jared Wunsch worked his magic on the Silvia (Rancilio) to pour one of the best espressos I have had in a very … Continue reading →

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Report from MSRI and Berkeley

Posted on March 7, 2017 by Persiflage

Having attended last Friday’s academic sponsors’ day at MSRI, I can provide a little more context concerning the issues expressed last time. But first, it’s time for the current edition of NAME AND SHAME: There are currently 105 universities which … Continue reading →

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