Guozhen's Homepage
王国祯的主页
Wang Guozhen's Homepage
I study algebraic topology. I am especially interested in understanding
homotopy groups. Currently I am working on several aspects of homotopy theory:
 Unstable chromatic homotopy theory
 Stable motivic homotopy
 Computer algorithms for cohomology of Hopf algebroids
 Equivariant stable homotopy theory
 Topological cyclic homology
Contact
 Shanghai Center for Mathematical Sciences 433
 Fudan University Jiangwan Campus
2005 Songhu Road,
Shanghai, China.
 wangguozhen@fudan.edu.cn
Personal
Conferences
Publications and preprints

The triviality of the 61stem in the stable homotopy groups of spheres
(with Zhouli Xu). Annals of Mathematics, 186(2), 2017

The algebraic AtiyahHirzebruch spectral sequence of real projective spectra
(with Zhouli Xu). arXiv:1601.02185

Some extensions in the Adams spectral sequence and the 51stem
(with Zhouli Xu). Algebraic and Geometric Topology, 18(7), 2018

Hurewicz images of real bordism theory and real JohnsonWilson theories
(with Guchuan Li, XiaoLin Danny Shi, Zhouli Xu). Advances in Mathematics, 342, 2019

The special fiber of the motivic deformation of the stable homotopy category is algebraic
(with Bogdan Gheorghe, Zhouli Xu). arXiv:1809.09290

The slice spectral sequence of a C4equivariant height4 LubinTate theory
(with Michael A. Hill, XiaoLin Danny Shi, Zhouli Xu). arXiv:1809.09290
Drafts
Notes and Surveys