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Category Archives: Mathematics
The True Heirs To Ramanujan
If you are in need of some light relief, you could do worse than peruse the opinions of Doron Zeilberger, who, if viewed strictly through the lens of these ramblings, appears to have a relationship with theoretical mathematics something along … Continue reading
Posted in Mathematics, Rant
Tagged Deligne, Indefinite Theta Series, Ken Ono, Lerch Sums, Mock Modular Forms, Mock Theta Functions, Ramanujan, Unabomber, Zeilberger
2 Comments
Public Displays of Mathematics
Let me start by saying that I’m in favor of making the effort to both educate the public about mathematics (as well as science more generally) and to convey to them a sense of the excitement of our discipline. But … Continue reading
Posted in Mathematics, Rant
Tagged 538, Alinea, Babylonians, Business School, Classical Music, E8, Intellectual Dishonesty, Journalism, LMFDB, Molecular Gastronomy, NPR, Numberphile, Playdoh, Plimpton 322, Pythagorean Triples, red herring, Roots of Unity, Sensationalism, sexagesimal, The Guardian, Trigonometry, UNSW
3 Comments
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 Brown, Drinfeld, Drinfeld Seminar, Kevin Buzzard, Local Langlands, Mariusz Wodzicki, Michael Harris, RLT, Weil Group
1 Comment
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
8 Comments
Elementary Class Groups Updated
In a previous post, I gave a short argument showing that, for odd primes p and N such that the pclass group of is nontrivial. This post is just to remark that the same argument works under weaker hypotheses, namely: … Continue reading
Posted in Mathematics
2 Comments
Who proved it first?
During Joel Specter’s thesis defense, he started out by remarking that the expansion: is a weight one modular forms of level and moreover, for prime, is equal to the number of roots of modulo minus one. He attributed this result … 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
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