Courses Offered (subject to change)
- MTH 162 Calculus IIA
- MTH 443 Algebraic topology
- MTH 549 Topics in Algebraic Topology
- MTH 550 Special topics in algebraic topology
- Complex Cobordism and Stable Homotopy Groups of Spheres, Academic Press , New York, 1986.
- Nilpotence and Periodicity in Stable Homotopy Theory, Annals of Mathematics Studies, Number 128, Princeton, 1992.
- Complex Cobordism and Stable Homotopy Groups of Spheres, Second edition, AMS Chelsea Publishing, Providence, 2004.
- Algebraic Topology, Proceedings, Seattle 1985 (with H. R. Miller), Lecture Notes in Mathematics 1286, Springer-Verlag, New York, 1987.
- Algebraic Topology, Proceedings, Arcata 1986, (with G. Carlsson, R. L. Cohen and H. R. Miller), Lecture Notes in Mathematics 1370, Springer-Verlag, New York, 1989.
- Homotopy Theory and Its Applications, A Conference on Algebraic Topology in Honor of Samuel Gitler August 9-13, 1993, Cocoyoc, Mexico (with A. Adem, and R. J. Milgram), Contemporary Mathematics 188, American Mathematical Society, 1995.
- Elliptic Cohomology Geometry, Applications, and Higher Chromatic Analogues (with H. R. Miller), London Mathematical Society Lecture Notes Series (No. 342), Cambridge University Press, 2007.
- Equivariant stable homotopy theory and the Kervaire invariant (with M.~Hill and M.~Hopkins, 150 pages so far), book in preparation.
- On the 3-primary Arf-Kervaire invariant problem (with M. Hill and M. Hopkins), in preparation.
- The slice spectral sequence for RO(C p n)-graded suspensions of HZ I (with M. Hill and M. Hopkins), in preparation.
- The slice spectral sequence of Mackey functors for the C4-analog of real K-theory (with M. Hill and M. Hopkins), submitted. arXiv link.
- Quillen's work on formal group laws and complex cobordism theory, Journal of K-Theory 11 (2013), no. 3, 493â€“506.
- A solution to the Arf-Kervaire problem (with M. Hill and M. Hopkins), Proceedings of Gokova Geometry-Topology Conference 2010, pages 21-63.
- The Kervaire invariant one problem in algebraic topology: proof (with M. Hill and M. Hopkins), written for Current Developments in Mathematics, 2010, International Press, 2011, pages 1-43.
- The Arf-Kervaire problem in algebraic topology: an introduction (with M. Hill and M. Hopkins), Current Developments in Mathematics, 2009, International Press, 2010, pages 23-57.
- On the non-existence of elements of Kervaire invariant one (with M. Hill and M. Hopkins, 221 pages), to appear in Annals of Mathematics.
- On β-elements in the Adams-Novikov spectral sequence (with H. Nakai), Journal of Topology, 2009, 2: 295-320.