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Meta
Tag Archives: Shiva Chidambaram
Chidambaram on Galois representations (not) associated to abelian varieties over Q
Today’s post is about a new paper by my student Shiva. Suppose that \(A/\mathbf{Q}\) is a principally polarized abelian variety of dimension \(g\) and \(p\) is a prime. The Galois representation on the \(p\)-torsion points \(A[p]\) gives rise to a … Continue reading →
Tips on becoming a computational number theorist
How would you advise a student who has talents in both the computational and theoretical aspects of algebraic number theory? There is no hard border between computational and theoretical algebraic number theory, but there is a definite computational number theory … Continue reading →
Posted in Uncategorized
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Tagged Andrew Sutherland, ANTS, Computations, John Voight, Shiva Chidambaram
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3 Comments
Picard Groups of Moduli Stacks
Here are some algebraic geometry musings related to the last post, most of which is hopefully correct. Everything below is secretly over \(\mathbf{Z}[1/6]\) but I think one may as well think about what is happening over \(\mathbf{C}\). Warning: I don’t … Continue reading →
Posted in Mathematics
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Tagged Andrew Putman, Benson Farb, Dan Margalit, Daniel Litt, David Roberts, Delta, Elliptic Curves, Families, Mapping Class Group, Picard Group, Shiva Chidambaram
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9 Comments
Chidambaram on genus two curves, II
We now continue a series of posts on the work of my student Shiva Chidambaram. (Click here for part I.) Today I would like to discuss another project with Shiva that was also joint with David Roberts (no, not David … Continue reading →
Chidambaram on genus two curves, I
Before we start, just to alert you to a minor blogpage design change: all the posts (including this one) which talk about my students work can be accessed in one place by clicking the “work of my students” tab just … Continue reading →
Posted in Mathematics, Students
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Tagged Brett Nasserden, Burnside cokernel, de Jong, magma, Manin, Neron-Severi Group, Nils Bruin, Picard Group, Shepherd-Barron, Shiva Chidambaram, Steven Weintraub, Van de Ven, William Hoffman
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8 Comments
Mazur’s Program B on Abelian Surfaces
In the book “More mathematical people,” there is an interview with Robin Wilson with the following quote: At the meal I found myself sitting next to Alistair Cooke who was very charming, and absolutely fascinating to listen to. The very … Continue reading →
Posted in Mathematics, Travel
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Tagged Alistair Cooke, Andrew Sutherland, Aperol, Brauer-Severi variety, Champagne, David Zureick-Brown, Faltings, George Boxer, Goodies, John Cremona, lunar eclipse, Mazur's Program B, Mike Bennett, Moon, More Mathematical People, Robin Wilson, Schwarzwald, Secret Informant, Shiva Chidambaram, Toby Gee, Vincent Pilloni, Walk in the Black Forest
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2 Comments