Kiran Luecke

activity

20212025

collaborators

5 papers

math.AT2025

Tate-valued Characteristic Classes II: Applications

Shachar Carmeli, Kiran Luecke

We present a construction that manufactures $\E_\infty$ orientations of Tate fixed-point objects together with useful formulas for these maps, and then give a number of application…

math.NT2025

p-adic congruences in iterated derivatives of the Weierstrass elliptic function

Kiran Luecke, Eric Peterson

We use homotopy theoretic methods to prove congruence relations of number theoretic interest. Specifically, we use the theory of $E_{\infty}$ complex orientations to establis…

math.AT2025

Tate-valued Characteristic Classes

Shachar Carmeli, Kiran Luecke

We define a projective variant of classical complex orientation theory. Using this, we construct a map of spectra which lifts the total Chern class, providing an alternative answer…

math.AT2022

There aren't that many Morava E-theories

Kiran Luecke, Eric Peterson

Let $k$ be a perfect field of characteristic $p$ . Associated to any (1-dimensional, commutative) formal group law of finite height $n$ over $k$ there is a complex oriented cohomolo…

math.AT2021

A short geometric derivation of the dual Steenrod algebra

Kiran Luecke

This two-page note gives a non-computational derivation of the dual Steenrod algebra as the automorphisms of the formal additive group. Instead of relying on computational tools li…