Nathaniel Stapleton

Centralizers in good groups are good

We modify the transchromatic character maps to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion. As an application we prove that centralizers of tuples of commuting prime-power order elements in good groups are good and we compute a new example.

The character of the total power operation

In this paper we compute the total power operation for the Morava

Brown-Peterson cohomology from Morava E-theory

E

Subgroups of p-divisible groups and centralizers in symmetric groups

-theory of any finite group up to torsion. Our formula is stated in terms of the

A relative Lubin–Tate theorem via higher formal geometry

GL_n(Q_p)

Transchromatic generalized character maps

-action on the Drinfeld ring of full level structures on the formal group associated to

On the ring of cooperations for 2-primary connective topological modular forms

E

A transchromatic proof of Strickland's theorem

-theory. It can be specialized to give explicit descriptions of many classical operations. Moreover, we show that the character map of Hopkins, Kuhn, and Ravenel from

Transchromatic twisted character maps

E

A canonical lift of Frobenius in Morava E-theory

-theory to