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Power Residues of Fourier Coefficients of Elliptic Curves with Complex Multiplication (with E Zaurova), International Journal of Number Theory (2009)

Fix m greater than one and let E be an elliptic curve over Q with...

 

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Local torsion on elliptic curves and the deformation theory of galois representations (with C David), Mathematical Research Letters (2008)

We prove that, on average, elliptic curves over Q have finitely many primes p for...

 

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On Anticyclotomic Ì-Invariants of Modular Forms (with R Pollack), Mathematics and Statistics Department Faculty Publication Series (2006)
 

Variation of Iwasawa invariants in Hida families (with M Emerton and R Pollack), Inventiones Mathematicae (2006)

Let r : G_Q -> GL_2(Fpbar) be a p-ordinary and p-distinguished irreducible residual modular Galois...

 

Explicit unobstructed primes for modular deformation problems of squarefree level, Journal of Number Theory (2005)

Let f be a newform of weight

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Iwasawa invariants of galois deformations, Manuscripta Mathematica (2005)

Fix a residual ordinary representation :GF→GLn(k) of the absolute Galois group of a number field...

 

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Kida’s Formula and Congruences (with R Pollack), Mathematics and Statistics Department Faculty Publication Series (2005)
 

Power residues of Fourier coefficients of modular forms, Canadian Journal of Mathematics-Journal Canadien De Mathematiques (2005)

Let ρ:G\Q→\GLn(\Ql) be a motivic ℓ-adic Galois representation. For fixed m>1 we initiate an investigation...