2 citations · 2 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
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…
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 attached…
Derived special cycles on Shimura varieties
Keerthi Madapusi
I employ methods from derived algebraic geometry to give a uniform moduli-theoretic construction of special cycle classes on integral models many Shimura varieties of Hodge type, i…
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…