王国祯

Wang Guozhen's homepage

Contact

• Ph.D. Student in Department of Mathematics, Massachusetts Institute of Technology
• 77 Massachusetts Avenue E18-301K, Cambridge, MA 02139-4307
• E-mail: guozhen@math.mit.edu

Personal

• Curriculum Vitae
• Research Statement
• Teaching Statement
• Interests

Publications and preprints

• On the K(2)-local unstable homotopy groups of S^3 at p≥5
Computes unstable homotopy groups of the 3-sphere after apllying the K(2)-local Bousfield-Kuhn functor.
• Homotopy of the K(2)-local Goodwillie derivatives of spheres
Investigates the Goodwillie derivatives of spheres: BP-homology, cellular structure, secondary and higher suspension, action of the Morava stabalizer group.
• The monochromatic stable Hopf invariant
Gives a formula for the James-Hopf map, after applying the Bousfield-Kuhn functor, on Morava E-theory. Computes the monochromatic stable Hopf invariants of the beta families.

Notes and Surveys

• 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.

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