王国祯的主页   Wang Guozhen's Homepage

• 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

• Curriculum Vitae
• Interests

Conferences

• International Workshop on Algebraic Topology

Publications and preprints

• The triviality of the 61-stem in the stable homotopy groups of spheres
  (with Zhouli Xu). Annals of Mathematics, 186(2), 2017
• The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra
  (with Zhouli Xu). arXiv:1601.02185
• Some extensions in the Adams spectral sequence and the 51-stem
  (with Zhouli Xu). Algebraic and Geometric Topology, 18(7), 2018
• Hurewicz images of real bordism theory and real Johnson-Wilson 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 C4-equivariant height-4 Lubin-Tate 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 t-structure on motivic spectra
  (with Tom Bachmann, Hana Jia Kong, Guozhen Wang, Zhouli Xu). arXiv:2012.02687

Drafts

Notes and Surveys

• Topological cyclic homology of local fields
Slides on the descent spectral sequence for topological cyclic homology and computations of TC for local fields.
• Prisms and Topological Cyclic Homology of Intergers
Slides on computing the toplogical cyclic homology of the integers using quasi-syntomic resolutions.
• Motivic Ctau Modules
Slides for the equivalence of motivic Ctau modules and the derived category of BP_*BP comodules.
• Dyer-Lashof Operations
Slides for the constructions and basic properties of the Dyer-Lashof operations.
• Unstable Homotopy Theory from the Chromatic Point of View
Slides for chromatic unstable homotopy theory.
• Survey of Computations of Homotopy Groups of Spheres and Cobordisms
Survey of methods used to compute the homotopy groups of spheres: framed cobordism, EHP sequence, Adams spectral sequence, complex cobordism and chromatic methods.
• Periodic Homotopy Theory of Unstable Spheres
Introduction of what I intended to do in my thesis.
• Notes for motivic decompositions
Notes for decomposing homogeneous varities in the motivic world.

Tables and Charts