4 citations · 7 across the 9 of their papers we have counts for
9 papers
Remarks on the inverse Galois problem over function fields
Shiang Tang
In this paper, we prove new instances of the inverse Galois problem over global function fields for finite groups of Lie type. This is done by constructing compatible systems of $\…
Lifting -Valued Galois Representations when
Jeremy Booher, Sean Cotner, Shiang Tang
In this paper we study the universal lifting spaces of local Galois representations valued in arbitrary reductive group schemes when . In particular, under certain tec…
A note on Galois representations valued in reductive groups with open image
Shiang Tang
Let be a split reductive group with . We show that for any prime that is large enough relative to , there is a finitely ramified Galois representation…
Congruences like Atkin's for the partition function
Scott Ahlgren, Patrick B. Allen, Shiang Tang
Let be the ordinary partition function. In the 1960s Atkin found a number of examples of congruences of the form where and are…
Motivic Galois representations valued in Spin groups
Shiang Tang
Let be an integer such that and . We construct strictly compatible systems of representations of $Γ_{\mathbb Q} \to \mathrm{Spin}_m(\overline{…
Potential automorphy of -valued Galois representations
Stefan Patrikis, Shiang Tang
We prove a potentially automorphy theorem for suitable Galois representations and $Γ_{F^+} \to \mathrm{GSpin}_{2n+1}(\o…
Algebraic monodromy groups of -adic representations of
Shiang Tang
In this paper we prove that for any connected reductive algebraic group G and a large enough prime , there are continuous homomorphisms $$\mathrm{Gal}(\bar\mathbb Q/\mathbb Q) \…
Principal series representations of metaplectic groups
Shiang Tang
We study the principal series representations of central extensions of a split reductive algebraic group by a cyclic group of order . We compute the Plancherel measure of the re…
Action of Intertwining operators on pseudospherical K-types
Shiang Tang
In this paper, we give a concrete description of the two-fold cover of a simply connected, split real reductive group and its maximal compact subgroup as Chevalley groups. We defin…