
A DeligneLusztig type correspondence for tame padic groups (49 pages, updated on 10/10/2023, arXiv:2306.02093)
We formulate a generalization of the explicit Serre weight conjectures for quasisplit tame groups.

Heisenberg varieties and the existence of de Rham lifts (33 pages, pdf)
We show the existence of de Rham lifts for mod p Lparameters for unitary groups.

The EmertonGee stacks for tame groups (66 pages, pdf)
We construct the EmertonGee stack for tamely ramified groups.

The EmertonGee stacks for tame groups, II (37 pages, pdf)
We construct the moduli of potentially semistable Galois representations valued in tame padic groups and classify the irreducible components of the reduced EmertonGee stacks for classical groups, subject to numerical conditions which we have verified for unitary groups in the "Heisenberg variety" paper.

LyndonDemushkin method and crystalline lifts of G_{2}valued Galois representations
(arXiv:2011.08773, submitted)
We develop the obstruction theory for lifting characteristic p Galois representations valued in reductive groups of type B_{l}, C_{l}, D_{l} and G_{2}.
As an application, we show when all p > 3, all G_{2}valued characteristic p Galois representations admit a crystalline lift.

Extension of Crystalline representations valued in general reductive groups.
(pdf)
We show extensions of crystalline representations valued in general reductive groups are crystalline, assuming some HodgeTate weights of a certain adjoint representation is slightly less than 0.
