# Mingcong Zeng

updated March 22nd, 2018

### Contact Information

Office: Hylan 718

E-mail: mzeng6 at ur dot rochester * edu

### Interests

Stable Homotopy Theory and Equivariant Homotopy Thoery

In this paper we compute $RO(G)$-graded homotopy Mackey func-tors of $H\underline{\mathbb{Z}}$, the Eilenberg-Mac Lane spectrum of the constant Mackey functor of integers for cyclic $p$-groups and give a complete computation for Cp2. We also discuss homological algebra of $\underline{\mathbb{Z}}$-modules for cyclic $p$-groups, and interactions between these two. The goal of computation in this paper is to understand various slice spectral sequences as $RO(G)$-graded spectral sequences of Mackey functors.