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Meta
Tag Archives: Joel Specter
Polymath Proposal: 4-folds of Mumford’s type
Let \(A/K\) be an abelian variety of dimension \(g\) over a number field. If \(g \not\equiv 0 \bmod 4\) and \(\mathrm{End}(A/\mathbf{C}) = \mathbf{Z}\), then Serre proved that the Galois representations associated to \(A\) have open image in \(\mathrm{GSp}_{2g}(\mathbf{Z}_p)\). The result … Continue reading
More on Lehmer’s Conjecture
Lehmer said it was a “natural question” whether there existed an integer such that \(\tau(n)=0\) or not. I’ve wondered a little bit recently about how reasonable this is. (See this post.) The historical context is presumably related to the fact … Continue reading
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
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
Hilbert Modular Forms of Partial Weight One, Part III
My student Richard Moy is graduating! Richard’s work has already appeared on this blog before, where we discussed his joint work with Joel Specter showing that there existed non-CM Hilbert modular forms of partial weight one. Today I want to … Continue reading
100 Posts
Meaningless numerical milestones are a good a reason as any for an indulgent post. Today, I will discuss some facts from this blog which you might not otherwise know about. It will be in the form of an (mercifully short) … Continue reading
Posted in Waffle
Tagged Danny Calegari, Deligne, Ian Agol, Ila Varma, Indulgent, Interview, Jacob Lurie, Joel Specter, Logical Positivism, Principia Mathematica, Short Shorts, Swans, Waffles
9 Comments
En Passant IV
My students Richard Moy and Joel Specter have uploaded their paper on partial weight one Hilbert modular forms, previously discussed here, to the ArXiv. Germany now leads the world in both soccer and perfectoid spaces. This is a recipe for … Continue reading
Posted in Waffle
Tagged Bourgeois Pig, Carbon Tax, Cortado, Dinosaur Comics, Existential Comics, Gibraltar, Grue, Hilbert modular forms, Intelligentsia, Joel Specter, Justice, Little Johnny Howard, Matthew Emerton, Perfectoid Spaces, Richard Moy, SiriusXM, Soccer, Toby Gee, Tony Abbott
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