In my thesis I study the bad reduction of the intergral models of moduli of Shtukas (more precisely the moduli of Drinfeld-Stuhler sheaves), in particular with a view towards applications to the modular degree of elliptic curves and level-lowering. I'm currently working on expanding these results to moduli spaces of Shtukas with more legs.
More recently I've also been working on constructing a cohomology theory for schemes in postitive characteristic with is valued in (equi-characteristic) isoshtukas.
Preprints:
Bad reduction of moduli spaces of Shtukas with applications to the modular degree and level-lowering (in preparation)
An isoshtuka valued cohomology theory for schemes of positive characteristic (in preparation)