3 papers
math.NT2026
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.GR2026
Lifting property for finite groups
Chandrashekhar B. Khare, Alexander Merkurjev
We classify all finite groups that have lifting property of mod representations to mod representations for all prime .
math.AC2025
A freeness criterion for complexes with derived actions
Sylvain Brochard, Srikanth B. Iyengar, Chandrashekhar B. Khare
Inspired by the patching method of Calegari and Geraghty, and a conjecture of de Smit that has been proved by the first author, we present a conjectural freeness criterion without…