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\begin{theindex}

  \item $\Gamma(N)$-structures, 23, 24

  \indexspace

  \item Albanese, 50, 52--54, 69

  \indexspace

  \item Brauer-Nesbit theorem, 68
  \item Buzzard, 45, 73, 89, 92, 107, 111, 125

  \indexspace

  \item complete intersection, 73, 127--129
  \item congruence subgroup, 2
  \item cusp forms, 2

  \indexspace

  \item deformations, 109, 111, 118, 119, 124--127
  \item Deligne, 3
  \item descent, 44, 75

  \indexspace

  \item Eichler, 3
  \item Eichler-Shimura, 25, 51, 53--55, 57, 64, 71
  \item eigenforms, 17
  \item Eisenstein series, 15, 19, 40, 98

  \indexspace

  \item finite flat representations, 111, 112
  \item finite flat schemes, 75--77, 103, 104, 110, 111

  \indexspace

  \item Galois representations, 1, 7, 34
  \item Gorenstein, 67, 69, 72
  \item Grothendieck, 75, 76

  \indexspace

  \item Hecke operator, 2, 11

  \indexspace

  \item inner product, 16, 20, 27

  \indexspace

  \item Jacobian, 1, 26, 50--54, 56, 74, 75, 77, 130

  \indexspace

  \item Lenstra, 125, 126, 130

  \indexspace

  \item Mazur, 6, 70--72, 75, 105, 106
  \item modular curves, 1, 23, 41, 45, 47, 84

  \indexspace

  \item newform, 31
  \item non-Gorenstein, 73

  \indexspace

  \item Ogus, 50, 75, 94, 97, 104, 111, 124, 130
  \item optic, 69, 91, 127

  \indexspace

  \item Selmer group, 129
  \item semistable, 103, 105--109, 111, 115, 122, 126
  \item Serre, 3, 5, 7--9, 15, 21, 36, 40, 44, 83, 86, 87, 91--96, 98, 
		100--102
  \item Serre's conjecture, 8
  \item Shimura, 2, 3, 5, 26, 29, 31, 34, 52, 107
  \item Shimura variety, 46

  \indexspace

  \item Tate curve, 65, 89, 104, 112

\end{theindex}