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
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- Doug Ravenel
- Office hours: Friday 2:00-4:00 on Zoom or by appointment
- No office hours on October 14 due to travel
Class meetings
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MW 2:00-3:15 in Hylan 1104.
Zoom link -
The first meeting will be on Wednesday August 31.
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There will be no class on Monday September 5 (Labor Day).
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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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Answer sheet for Fall 2017 final exam. Note to self: this exam was TOO EASY.
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Algebraic topology by Allen Hatcher, our textbook.
Links
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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.