In this paper we generalize the forcing ramification argument of Khare-Ramakrishna to the setting of the lifting result by Fakhruddin-Khare-Patrikis. In particular, we show that in the relative deformation method the finite set of primes can be chosen so that the geometric characteristic 0 lift will be ramified at each of those primes. Moreover, we show that the restrictions of this lift to the local absolute Galois groups will correspond to formally smooth points in the generic fibers of the local universal lifting rings at each prime. Eventually, we prove that the local formal smoothness at each of the primes implies the vanishing of the geometric Bloch-Kato Selmer group associated to the adjoint representation of that characteristic 0 lift.

We consider two modulo p representations, valued in possibly distinct reductive groups. We show that under certain conditions both representations admit geometric p-adic lifts by allowing extra ramification at the same set of primes. We use this result to answer a version of a question first brought up by Toby Gee and Alice Pozzi. In particular, starting with two modulo p non-semi-simple GL2-valued representations, we show that under some mild conditions that they are reductions of representations attached to new forms of the same weight, same level, and the same Neben character.

We generalize the results of Fakhruddin-Khare-Patrikis, which lift odd mod p Galois representations to geometric p-adic representations, to geometric lifting theorems for mod pn representations whose mod p reduction is odd.