Some math papers and notes
"On G and the stable Adams conjecture,"
with Stewart Priddy, Geometric Applications of Homotopy Theory II:
Springer Lecture Notes in Math. 658 (1977) 331--348.
"A localization theorem in homological algebra,"
Math. Proc. Camb. Phil.Soc. 84 (1978) 73--84:
"On relations between Adams spectral sequencs, with an application to the
stable homotopy of a Moore space,"
J. Pure Appl. Alg. 20 (1981) 287--312:
"Vanishing lines for modules over the Steenrod algebra,"
with C. W. Wilkerson, J. Pure Appl. Alg. 22 (1981) 293--307:
"Universal Bernoulli numbers and the S^1-transfer,"
Canadian Math. Soc. Conference Proceedings 2 (1982) 437--449.
"An alebraic analogue of a conjecture of G. W. Whitehead,"
Proc. Amer. Math. Soc. 84 (1982) 131--137.
"On the anti-automorphism of the Steenrod algebra" with M.G. Barratt,
Contemp. Math. 12 (1982) 47--52:
"On the Segal conjecture for periodic groups," with Clarence
Wilkerson, Northwestern University Homotopy Theory Conference,
Cont. Math. 19 (1983) 233--246.
"The Segal conjecture for elementary Abelian p-groups, I," with
J.F. Adams, J.H. Gunawardena. This is the submitted
draft of the paper appearing in shortened form in Topology 24 (1985) 435--460,
"Stable splittings of Stiefel manifolds,"
Topology 24 (1985) 411-419,
"Equivariant function spaces and characteristic classes" with B.M. Mann
and E.Y. Miller, Trans. Amer. Math. Soc. 295 (1986) 233--256.
"Massey-Peterson towers and maps from classifying spaces,"
Algebraic Topology, Aarhus, 1982, Springer Lec. Notes in Math. 1051 (1984)
401--417, .pdf scan.
"Looping Massey-Peterson towers" with John Harper, Advances in Homotopy
Theory (Cortona 1988), London Math. Soc. Lecture Notes Series 139 (1989)
69--86. .pdf scan.
"Finite localizations," Bol. Soc. Mat. Mex. 37 (1992) 383--389.
Notes from a course on the homotopy theory of the vector field problem,
Spring, 1989, taken by Matthew Ando. Part 1,
Part 2. A team led by Eric Peterson converted them
in to TeX, and this draft appears here on OCW.
Here is the beginning of a revision of those notes. Comments welcome!
"The elliptic character and the Witten genus," Contemp. Math. 96 (1989)
A note on the topological Riemann-Roch theorem,
"On Jones's Kahn-Priddy theorem,"
Homotopy Theory and Related Topics,
Springer Lecture Notes in Math. 1418 (1990) 210--218.
"Mark Mahowald's work on the homotopy groups of spheres,"
with D.C. Ravenel,
Algebraic Topology, Oaxtapec, Contemporary Math. 146, 1993,
Notes from a course on cobordism theory, Spring, 1994,
taken and texed by Dan
Christensen and Gerd Laures. .pdf
"Nonabelian cohomology and obstructions, following Wojtkowiak":
Notes on "Verdier systems." .pdf
Notes from the beginning of a course on the Adams spectral
sequence, Fall, 2012.
Some notes on the case p=2, n=1 of Fred Cohen's thesis.
Some notes on Clark Barwick's theory of operator categories.
Notes on Toda's realization theorem. .pdf
"Sheaves, gradings, and the exact functor theorem,"
A conjecture about the Adams E^2 term for the sphere in a wedge
under the vanishing line, .pdf.
Lecture notes on a proof (with Jean Lannes) of Browder's theorem
using characteristic numbers for manifolds with corners,
A note on the Kervaire invariant and the Hopf invariant on a Moore space,
Seminaire Bourbaki report on Kervaire Invariant One
Seminaire Bourbaki slides on Kervaire Invariant One
Easy stuff on the homotopy fixed point set of the action of a group
on B pi induced by an action on pi.
"More on the anti-automorphism of the Steenrod algebra," with
V. Giambalvo, .pdf.
Slides for a talk at the Andre memorial conference, Lausanne, May, 2011.
Notes for a talk on chromatic homotopy theory at the Copenhagen Centre
for Symmetry and Deformation, May, 2011. .pdf
"The Burnside bicategory of groupoids,"
to appear in an issue of the Bol. Soc. Mat. Mex. in memory of Sam Gitler,
Some notes on the Nishida relations and the Singer construction,
"Inverting the Hopf map," with Michael Andrews.
"Localization in homotopy theory," the Kepler Lecture, University of
Regensburg, July 2, 2015, .pdf.
"On a spectral sequence for the cohomology of an infinite loop space,"
with Rune Haugseng, Alg. Geo. Top. 16 (2016) 2911--2948.
A note on the combinatorics of rack cohomology,
"Some homological localization theorems," talk at UIUC, July 17, 2017,
"Comodules, sheaves, and the exact functor theorem,"
.pdf, Contemp. Math. 729 (2019) 205--220.
Lecture notes from 18.905, Algebraic Topology, .pdf.
"Speculations around the immersion conjecture,"
.pdf, notes from a talk in the
Thursday seminar at Harvard.
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