Paul Shick

Lecturer

A man with dark hair and a beard smiles while wearing a striped button-up shirt against a plain gray background.

Background

Retired from full-time teaching after 37 years at JCU. Still active in mathematical research.

Areas of Expertise

  • Algebraic topology
  • in particular chromatic stable homotopy theory

Research Interests

Current projects:

  • Algebraic redshift in the C_2-equivariant and real motivic spectral sequences
  • Nonrealization of the cohomology of finite Hopf subalgebras of the Steenrod algebra as the cohomology of 2-groups

Education

B.S. John Carroll University 1977
M.S. Northwestern University 1980
Ph.D. Northwestern University 1984

Courses Taught

None at present

Publications

Some selected publications:

"On Mahowald's conjecture on the cohomology of finite sub-Hopf algebras of the Steenrod algebra," Homology, Homotopy and Applications 22 (2020), pp 59--72.

Topology -- Point-set and Geometric, 271 pages, John Wiley and Sons, in Pure and Applied Mathematics Series, Hoboken, N. J., 2007.

"The triple loop space approach to the Telescope Conjecture," (joint with M. Mahowald and D. Ravenel) in Homotopy Methods in Algebraic Topology, ed by J.P.C. Greenlees, Contemp. Math. 271 Amer. Math. Soc. (2001) pp 217-284.

"Root invariants and periodicity in stable homotopy theory,'' (joint with M. Mahowald), Bulletin of the London Mathematical Society} vol. 20 (1988), pp 262-266.

"Odd primary periodic phenomena in the classical Adams spectral sequence,'' Transactions of the
American Mathematical Society
} 309 (1988), 77-86.

"On root invariants of periodic classes in Ext_A,'' Transactions of the American Mathematical Society 301 (1987), pp 227-237.

"Periodic phenomena in the classical Adams spectral sequence,'' (joint with M. Mahowald), Transactions of the American Mathematical Society 300 (1987), pp 191-206.

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