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Meta
Author Archives: Persiflage
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
New Results In Modularity, Part I
I usually refrain from talking directly about my papers, and this reticence stems from wishing to avoid any appearance of tooting my own horn. On the other hand, nobody else seems to be talking about them either. Moreover, I have … Continue reading
Posted in Mathematics
Tagged Ana Caraiani, Andrew Wiles, Bao Le Hung, Blasius, David Geraghty, David Helm, Deligne, Don Blasius, Functoriality, Gowers, Jack Thorne, James Newton, Langlands, Laurent Clozel, Michael Harris, Modularity, Nuno Freitas, Patrick Allen, Peter Scholze, Port, Ramanujan, Reciprocity, RLT, Samir Siksek, Serre, The Triangle, Toby Gee
13 Comments
In defense of Theresa May
Nothing gives me more sympathy for Theresa May^* (or less respect for the Economist) than the following line from this article: Mrs May made do with a dowdier college and relaxed by watching “The Goodies”, a particularly dire comedy. Sacrilege! … Continue reading
Elementary Class Groups Updated
In a previous post, I gave a short argument showing that, for odd primes p and N such that \(N \equiv -1 \mod p,\) the p-class group of \(\mathbf{Q}(N^{1/p})\) is non-trivial. This post is just to remark that the same … Continue reading
Posted in Mathematics
4 Comments
Thoughts on Paris
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
Posted in Uncategorized
Tagged Boot, Boris Bikes, Canard & Champagne, Clozel, Coffee Cuillier, Croissants, Divvy, Elliptic Integrals, Foie Gras, Fragments, Giverny, j-function, Jacques Tilouine, Klein, Kouign Amann, La Bourse et La Vie, Le Peleton Cafe, Monet, Orange, Passager, Paul Bert, Semilla, Strada, Telescope, Ten Belles, Third Wave Coffee, Vélibs, vitello tonnato
4 Comments
Who proved it first?
During Joel Specter’s thesis defense, he started out by remarking that the \(q\)-expansion: \(\displaystyle{f = q \prod_{n=1}^{\infty} (1 – q^n)(1 – q^{23 n}) = \sum a_n q^n}\) is a weight one modular forms of level \(\Gamma_1(23),\) and moreover, for \(p\) … Continue reading
Posted in Mathematics
Tagged Binary Quadratic Forms, Class Field Theory, Dedekind, Euler, Furtwängler, Gauss, Hecke, Hilbert, History, Joel Specter, Jugendtraum, Kronecker, Minkowski, Tagaki, Weber
2 Comments
Return to Northwestern
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
Posted in Uncategorized
Tagged espresso, Jared Wunsch, Joel Specter, Northwestern, Silvia Rancilio, Thesis
1 Comment
Me versus Magnus
I’ve recently been distracting myself with the new Magnus Carlsen “app,” a free chess app for the iPhone whose distinguishing feature is that it tries to play “like” Magnus did at various ages. It does seem like a very tricky … Continue reading