John McCleary

I received my Ph.D. from Temple University in algebraic topology under the direction of James Stasheff. In algebraic topology my interest is in homotopy theory and its applications to manifold theory and geometry. I also have interests in the history of mathematics, particularly the history of geometry and of topology. I have published papers on elementary number theory and mathematical physics. My vita can be seen here.

Some recent papers include:

Hassler Whitney, the Applied Mathematics Panel, and Airborne Weapons Accuracy, a talk given at the joint international AMS-DMV-ÖMG meeting in Mainz, Germany, June 17--19, 2005.
Bourbaki and Algebraic Topology, a talk given at the University of Wisconsin and Lehigh University.
Trigonometries, American Mathematical Monthly, 109(2002), 623--638.
A History of Fibre Spaces: Tortoises and Hares, Supp. Rend. del Circ. Mat. Pal. (II)72, (2004), 9-29.
Review of Rings, Modules, and Algebras in Stable Homotopy Theory, by A.D. Elmendorf, I. Kriz, M. A. Mandell, and J. P. May, with an Appendix by M. Cole, Mathematical Surveys and monographs, no. 47, AMS, Providence, RI, 1997, xi + 249 pp., $62.00, ISBN 0-8218-0638-6. Equivariant Homotopy and Cohomology Theory, J. P. May, with contributions by M. Cole, G. Comezana, S. Costenoble, A. D. Elmendorf, J. P. C. Greenlees, L. G. Lewis, Jr., R. J. Piacenza, G. Triantafillou, and S. Waner, CBMS Regional Conference Series in Mathematics, no. 91, AMS, Providence, RI, 1996, xiii + 366 pp., $49.00, ISBN 0-8128-0319-0. A Concise Course in Algebraic Topology, by J. P. May, Chicago Lectures in Mathematics, The University of Chicago Press, Chicago, IL, 1999, ix + 247 pp., $18.00, ISBN 0-226-51183-9 (paper); which has appeared in the Bulletin of the American Mathematical Society. Click here for a preprint.
A History of Spectral Sequences: Origins to 1953, in the History of Topology, edited by Ioan James, North Holland, Amsterdam, 1999, 631-663.
An appreciation of the work of Jim Stasheff, in the Higher Homotopies in Topology and Mathematical Physics, Contemporary Mathematics (AMS), edited by John McCleary, 1999, pp. 1--16.
Un theoréme remarquable sur les courbes de l'espace: Jacobi, Euler, Gauss, Clausen, L'Ouvert 90 (1998), 1-11.
Hochschild homology, cyclic homology and the cobar construction (with John D. S. Jones), in the Adams Memorial Symposium in Algebraic Topology, London Mathematical Society Lecture Note Series 175 (1992), 53-65, Cambridge University Press.
On homotopy associative mod 2 H-spaces, Journal of Mathematics, Kyoto University 32 (1992), 451-499.
Homotopy theory and closed geodesics, Lecture Notes in Mathematics 1418, Homotopy theory and related topics. Proceedings, Kinosaki, Japan, 1988, 86-94.
On Jacobi's remarkable curve theorem, Historia Mathematica 21 (1994), 377-385.
How not to prove Fermat's Last Theorem, American Mathematical Monthly, 96 (1989), 410-420.

I am the author of:

A First Course in Topology: Continuity and Dimension, presently under consideration for publication. Visit the webpage to have a look at the table of contents and to view draft chapters.
User's Guide to Spectral Sequences, second edition has appeared (2001) with Cambridge University Press (first edition, Publish or Perish Inc., Houston, TX, 1985).

here

Geometry from a Differentiable Viewpoint, Cambridge University Press, NY, 1994.

I am the coeditor with David Rowe of:

The History of Modern Mathematics, Volumes I and II, Academic Press, San Diego, CA, 1989.

I am the editor of the Proceedings of the Conference:

Higher Homotopy Structures in Topology and Mathematical Physics, Contemporary Mathematics 227, American Mathematical Society, Providence, RI, 1999.

Spring semester 2005-2006, I teach Math 221, Linear Algebra, and Math 324, Complex Analysis.

Visit the Colloquium Page for information on talks. I also participate in the Greater Hudson Valley Mathematics Speaker Bureau, a program of lecturers on undergraduate mathematics from in and around the Hudson Valley. Visit the web page for more details.

mccleary@vassar.edu

For family pictures, go to my personal pictures pages, here and here. For other photos of the guys, check here.

For photos from a trip to Japan, check out my travelogue.

I am also a participant in a program at Christ Church in Poughkeepsie called One Word, Many Voices. As part of the program I gave the sermon on December 19, 1999 at the Church. If you would like to read my sermon, it can be found here. On April 10, 2005, I gave another sermon at Christ Church. It can be found here.

Finally, I sing (tenor) with the Christ Church choir. In their recent spring concert, we sang two a cappella pieces that I wrote:
"Who will give me wings?" and "Pied Beauty". You can hear the performances here .

last revised 30 November 2005 by John McCleary.

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