2 citations · 2 across the 2 of their papers we have counts for
5 papers
On canonicity for integral models of Shimura varieties with hyperspecial level
Keerthi Madapusi, Alex Youcis
We give a new definition -- and in some cases, a new construction -- of integral canonical models of Shimura varieties that uses the notion of an aperture appearing in work of Gard…
An algebraicity conjecture of Drinfeld and the moduli of -divisible groups
Zachary Gardner, Keerthi Madapusi
We use the newly developed stacky prismatic technology of Drinfeld and Bhatt-Lurie to give a uniform, group-theoretic construction of smooth stacks attache…
Kudla's modularity conjecture on integral models of orthogonal Shimura varieties
Benjamin Howard, Keerthi Madapusi
We construct a family of special cycle classes on the regular integral model of an orthogonal Shimura variety, and show that these cycle classes appear as Fourier coefficients of a…
Perfect -gauges and finite flat group schemes
Keerthi Madapusi, Shubhodip Mondal
We show an equivalence of categories, over general -adic bases, between finite locally -torsion commutative group schemes and $\Int/p^n\Int$-modules in perfect -gauges o…
Connected components of special cycles on Shimura varieties
Keerthi Madapusi
I use methods of Chai-Hida and ordinary -Hecke correspondences to study the set of irreducible components of special fibers of special cycles of sufficiently low codimension in…