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

About Me

Since I will graduate soon, my homepage will move here.

I am currently a last year graduate student under Professor Ravenel. My main interest is computations in chromatic homotopy theory and equivariant homotopy theory. My thesis is about computation around slice filtration and equivariant Eilenberg-Mac Lane spectra. Here are my CV and research statement.

Research

Preprints here are usually updated more frequently than in arXiv.

Equivariant Eilenberg-Mac Lane spectra in cyclic p-groups. preprint.

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.