MATH 443
Frank Adams 1930-1989.
More pictures
Leonhard Euler 1707-1783.
More pictures.
Euler is also depicted on an old version of the
Swiss 10 franc note.
Jules Henri Poincaré
1854-1912. More pictures.
Daniel Kan
1927-2013
Solomon Lefschetz
1884-1972
Heinz Hopf
1891-1971.
J. H. C. Whitehead
1904-1960
Norman Earl Steenrod
1910-1971
Samuel Eilenberg
1913-1998
Instructor Information
- Doug Ravenel : Office hours: TBA
Class meetings
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MW 2:00-3:15 in Hylan 1104.
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The first and last meetings will be on Wednesday August 26 and December 9.
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There will be no classes on Monday September 2 (Labor Day), October 14 (Fall break) and November 27 (Thanksgiving break).
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I will be out of town on October 16 and December 9. We will find a way to make up those two classes.
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The final exam will be on TBA
Handouts
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Doug’s Kervaire invariant page. Includes link to the purple book, Equivariant stable homotopy theory and the Kervaire invariant, with Mike Hill and Mike Hopkins.
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Slides for Doug’s recent talk ““What is an ∞-category?” Paper based on this talk.
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Answer sheet for Fall 2017 final exam. Note to self: this exam was TOO EASY.
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An Introduction to Algebraic Topology by Joseph J. Rotman, our textbook.
Links
- Videos by Jos Leys
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The double-tipping null homotopy by David Pengelley and Daniel Ramras. A detailed explanation of the coffee cup and belt tricks, with links to a paper and several videos.
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HOMOTOPY THEORY FOR BEGINNERS (comments to Chapter 0 of Hatcher’s book)
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THE FUNDAMENTAL GROUP AND COVERING SPACES and From singular chains to Alexander Duality by JESPER M. MØLLER.
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Math That Makes You Go Wow: A Multi-Disciplinary Exploration of Non-Orientable Surfaces
Undergraduate math appreciation course at Yale, 1998.
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The Hopf fibration
The discovery of this map by Heinz Hopf in 1930 marks the beginning of homotopy theory.
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Miscellany
Other cool links not in the above categories.
- Links for three and four dimensional polyhedra