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math.NT2025
The commutative algebra of congruence ideals and applications to number theory
Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning
In his proof of Fermat's Last Theorem, Wiles deployed a commutative algebra technique, namely a numerical criterion for detecting isomorphisms of rings. In our recent work we pick…
math.NT2023★ 1 cited
Congruence modules in higher codimension and zeta lines in Galois cohomology
Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning +1
This work builds on earlier work of the first three authors where a notion of congruence modules in higher codimension is introduced. The main new results are a criterion for detec…