 University of Regensburg lecture
of August 4, 2023, "What is an ∞category?"
Slides. The slides have
more material (on Bousfield localization and spectra) than I was
able to cover in the lecture. Here is a
preprint form of this material.
 Northwestern University lecture
of March 23, 2023, "Hiking in the Alps: C_{p}fixed
points of LubinTate spectra."
Slides.
 Bonn lecture of October 17, 2022,
"The HillLawson spectral sequence
and the telescope conjecture."
Slides.
 String cobordism at the prime
3,
 The
eightfold way: how to build the right model structure on
orthogonal
Gspectra.
 Model
category structures for equivariant spectra,
Equivariant and
motivic homotopy theory, August, 2018. Isaac
Newton Institute for Mathematical Sciences. Print friendly version
 Two talks in China, June 2018.
 The
chromatic
conjectures,
Chromatic
Homotopy Theory: Journey to the Frontier, May, 2018. Video link to conference talks.
 Two
equivariant approaches to the telescope conjecture, MIT topology
seminar, November, 2017.

The C_{2}equivariant
analog of the subalgebra of A generated
by Sq^{1}
and Sq^{2},
Homotopy
theory: tools and applications, UIUC, July,
2017. Print friendly version.
Video.
 Model
categories and spectra, University of Chicago, May,
2017.
 The
lost telescope of
Z, Electronic
Computational Homotopy Theory Seminar, March, 2017. Print friendly
version.
 The
slice filtration revisited, CMS Winter Meeting, December,
2016.
 What
is a Gspectrum?, GeometryTopology Conference, Lehigh
University, May, 2015. Print friendly version
 HKR again: Kuhn's work on generalized group characters,
MidAtlantic
Topology Conference, University of Virginia, April,
2015.
 Inside
the proof of the Kervaire invariant theorem or How I got bitten by
the equivariant
bug, Geometry
and Topology. A conference in honor of Martin Bendersky's seventieth
birthday and in commemoration of our friend and colleague Sam
Gitler, Princeton University, March, 2015.
 Plastic
explosives: A C_{4} analog of the Kervaire invariant
calculation, Conference on Equivariant, Chromatic and Motivic
Homotopy Theory, Northwestern University, March, 2013.
 Quillen's
work on formal group laws and complex cobordism theory,
Conference honoring the legacy of Daniel Quillen, MIT, October,
2012.
 Browder's
work on ArfKervaire invariant
problem, Panorama
of Topology: A Conference in Honor of William Browder, Princeton
University, May, 2012. Video available
at conference
website.
For talks and preprints related to the Kervaire
invariant see my
Kervaire invariant page.
Complex
Cobordism and Stable Homotopy Groups of
Spheres, second
edition.
Related papers by other authors
Lecture notes for a graduate
course on elliptic cohomology, Fall 2003, Math 549
Preprints and slides for talks up to March 2009
 Slides for talk given at UR, October 12, 2007. These were made with Prosper. Printer friendly version
 Slides for talk given at MIT,
March 9, 2009.
 Toward higher chromatic
analogs of elliptic cohomology and tmf
 Preprint
of part I, October 28, 2003
 Preprint
of part II (36 pages), June 12, 2008
 Slides for talk given at Johns Hopkins
University, March 10, 2007. These were made with Prosper. Printer friendly version
 Slides for four talks given at Wayne State University.
 Slides for talk given at the workshop on Topological Algebraic Geometry, Oslo September
6, 2006. Illustrative Ext chart of HopkinsMahowald.
 Slides
for talk given at Rochester March 10, 2006
 Slides
for talk given at MIT December 16, 2005
 Slides
for talk given at MIT September 26, 2005
 Slides for talk given at AMS meeting in
Newark, DE, April 2, 2005
 Slides for talk given at CMS meeting in
Halifax, June 13, 2004
 Slides for talk given at AMS meeting at
Rider University, April 17, 2004
 Slides for talk given at San Miguel de
Allende, Mexico, December 4, 2003
 Slides for talk given at Lehigh, June 12, 2003
 Slides for talk given at Oberwolfach, March
19, 2003
 Slides for talk given at AMS meeting in
Baltimore, January 17, 2003
 Slides for talk given at the Isaac Newton
Institute, December 18, 2002
 Lin Junkun's work on the Adams
spectral sequence, slides for talk given in Rochester,
November 10, 2006. These were made with Prosper. Here is a printer friendly version.
 A guided tour of the EHP sequence,
slides for talk given at the CRM in Montreal, November 20,
2005
 Some early and middle mathematical work
of Bob Stong, University of Virginia, November 10,
2007. Alternate version
 The first AdamsNovikov differential
for the spectrum T (m). (June 11,
2008)
 The
method of infinite descent in stable homotopy theory II (with H.
Nakai). (October 20, 2008)
 On beta elements in the AdamsNovikov
spectral sequence (with H. Nakai). (October 22, 2008)
Research supported by NSF.
Created January 18, 1997; last
modified September 23, 2023.