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). Acta Mathematica, 226(2), 2021

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

Stable homotopy groups of spheres
(with Daniel C. Isaksen, Zhouli Xu). Proceedings of the National Academy of Sciences of the United States of America, 117(40), 2020

More stable stems
(with Daniel C. Isaksen, Zhouli Xu). arXiv:2001.04511

The Chow tstructure on motivic spectra
(with Tom Bachmann, Hana Jia Kong, Guozhen Wang, Zhouli Xu). arXiv:2012.02687
Drafts
The algebraic Goodwillie tower
An attempt to understand the Goodwillie derivatives of the unstable Adams tower via the lambda algebra.
On the K(2)local unstable homotopy groups of
S^3 at p≥5Computes unstable homotopy groups of the 3sphere after apllying the K(2)local BousfieldKuhn functor.
Homotopy of the K(2)local Goodwillie derivatives of spheres Investigates
the Goodwillie derivatives of spheres: BPhomology, cellular structure,
secondary and higher suspension, action of the Morava stabalizer group.
The monochromatic stable Hopf invariant Gives
a formula for the JamesHopf map, after applying the BousfieldKuhn
functor, on Morava Etheory. Computes the monochromatic stable Hopf
invariants of the beta families.
Notes and Surveys