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math.NT2013
Counting elliptic curves with prescribed torsion
Robert Harron, Andrew Snowden
Mazur's theorem states that there are exactly 15 possibilities for the torsion subgroup of an elliptic curve over the rational numbers. We determine how often each of these groups…
math.NT2013
On symmetric power L-invariants of Iwahori level Hilbert modular forms
Robert Harron, Andrei Jorza
We compute the arithmetic L-invariants (of Greenberg-Benois) of twists of symmetric powers of p-adic Galois representations attached to Iwahori level Hilbert modular forms (under s…
math.NT2013
Gauss-Manin connections for p-adic families of nearly overconvergent modular forms
Robert Harron, Liang Xiao
We interpolate the Gauss-Manin connection in p-adic families of nearly overconvergent modular forms. This gives a family of Maass-Shimura type differential operators from the space…