Stefan Patrikis

activity

20122025

most citedAutomorphy and irreducibility of some l-adic representations

36 citations · 109 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 2 cited

Potential automorphy of $GSpin_{2 n + 1}$ -valued Galois representations

Stefan Patrikis, Shiang Tang

We prove a potentially automorphy theorem for suitable Galois representations $Γ_{F^{+}} \to GSpin_{2 n + 1} (F_{p})$ and $Γ_{F^+} \to \mathrm{GSpin}_{2n+1}(\o…

math.NT2019

Lifting $G$ -irreducible but $GL_{n}$ -reducible Galois representations

Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis

In recent work, the authors proved a general result on lifting $G$ -irreducible odd Galois representations $Gal (F / F) \to G (F_{ℓ})$ , with $…

math.NT2019

Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations

Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis

We study irreducible odd mod $p$ Galois representations $ρ ˉ : Gal (F / F) \to G (F_{p})$ , for $F$ a totally real number field and $G$ a ge…

Potential automorphy of GSpin2n+1​-valued Galois representations

Lifting G-irreducible but GLn​-reducible Galois representations

Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations

Potential automorphy of $GSpin_{2 n + 1}$ -valued Galois representations

Lifting $G$ -irreducible but $GL_{n}$ -reducible Galois representations