Ralph's office hours: Mondays at 2 pm.

- Jeremy: Cohomology of Eilenberg-Mac Lane spaces.
- Ilya: The Steenrod algebra and its dual.
- Anssi: The Adams Spectral Sequence and unitary cobordism.
- Nathan: Formal group laws.
- Ulrik: The Brown-Peterson spectrum.
- Eric and Joseph: Adams's "Hopf invariant one".
- Robin: Vector fields on spheres.
- Josh: The Kervaire invariant.

- 31 Mar: Ralph, introduction.
- 2 Apr: Ralph, Thom's computation of the homotopy type of the spectrum MO.
- 7 Apr: Jeremy, Serre's calculation of the cohomology of Eilenberg-Mac Lane spaces.
- 9 Apr: Jeremy, The Serre spectral sequence and Cartan's theorem.
- 14 Apr: No class.
- 16 Apr: Ilya, The Steenrod algebra and its dual.
- 21 Apr: Anssi, Construction of the Adams spectral sequence.
- 23 Apr: Anssi, Milnor's computation of the homotopy groups of the spectrum MU.
- 28 Apr: Nathan, Complex orientations for ring spectra and formal group laws.
- 30 Apr: Nathan, Quillen's ring isomorphism between the Lazard ring and the homotopy groups of MU.
- 5 May: Ralph, The Kervaire invariant.
- 7 May: Eric, Secondary cohomology operations.
- 12 May: Eric, Secondary cohomology operations, continued; Cohomology of the Steenrod algebra.
- 14 May: Joseph, Decomposition of higher dyadic Steenrod squares.

- 19 May: Joseph, Decomposition of higher dyadic Steenrod squares.
- 21 May: Robin
- 26 May: Robin
- 28 May: Josh
- 2 Jun: Ulrik
- 4 Jun: Josh

- Notes of Gérald Gaudens on the Adams spectral sequence and the Kervaire invariant, courtesy of Bruce Williams.

- Adams, J.F. "Vector fields on spheres."
*Ann. Math.***75**1962, 603–632. Available at JStor. - Adams, J.F. "On the non-existence of elements of Hopf invariant one."
*Ann. Math.***72**1960, 20–104. Available at JStor. 2-up version here. - Adams, J.F., Atiyah, M.F. "
*K*-theory and the Hopf invariant."*Quart. J. Math.***17**1966, 31–38. Available at Oxford Journals. - Anderson, D.W., Brown, E.H., Jr., Peterson, F.P. "The structure of the Spin cobordism ring."
*Ann. Math.***86**1967, 271–298. Available at JStor. - Browder, William. "The Kervaire invariant of framed manifolds and its generalization."
*Ann. Math.***90**1969, 157–186. Available at JStor. - Brown, Edgar H., Jr., Peterson, Franklin P. "A spectrum whose
*Z*cohomology is the algebra of reduced_{p}*p*th powers."*Topology***5**1966, 149–154. Available at ScienceDirect. - Milnor, J. "On the cobordism ring Ω
^{*}and a complex analogue. I."*Amer. J. Math.***82**1960, 505–521. Available at JStor. - Milnor, J. "The Steenrod algebra and its dual."
*Ann. Math.***67**1958, 150–171. Available at JStor. - Quillen, Daniel. "On the formal group laws of unoriented and complex cobordism theory."
*Bull. Amer. Math. Soc.***75**1969, 1293–1298. Available at the AMS.

Last modified: 14 May 2009