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math.NT2007
On the modularity of supersingular elliptic curves over certain totally real number fields
Frazer Jarvis, Jayanta Manoharmayum
We study generalisations to totally real fields of methods originating with Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic curves with ordinary reducti…
math.NT2003★ 34 cited
Modularity of rigid Calabi-Yau threefolds over Q
Luis Dieulefait, Jayanta Manoharmayum
We prove modularity for a huge class of rigid Calabi-Yau threefolds over $\Q$. In particular we prove that every rigid Calabi-Yau threefold with good reduction at 3 and 7 is modula…