Older Material
- Here is the text Questioning answers, a lecture I gave to high school students about the arithmetic of elliptic curves (this was quite a while ago).
- I have been asked for some notes Analyse p-Adique that I wrote (I'm not sure what date) regarding classical p-adic L-functions and the Berrnoulli distribution. I am thankful to Keith Conrad who provided me with this scanned copy of them.
- In 1963 or 1964 I wrote an article Remarks on the Alexander
Polynomial [PDF]) about the analogy between knots in the three-dimensional sphere
and prime numbers (and, correspondingly, the relationship between the
Alexander polynomial and Iwasawa Theory). I distributed some copies of
my article but never published it, and I misplaced my own copy. In
subsequent years I have had many requests for my article and would often
try to search through my files to find it, but never did.
A few weeks ago Minh-Tri Do asked me for my article, and when I said I
had none, he very kindly went on the web and magically found a
scanned copy [PDF] of it.
I'm extremely grateful to Minh-Tri Do for his efforts (and many thanks, too,
to David Feldman who provided the lead).
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Course notes: (Harvard; Fall 1993) on Hecke curves and Galois deformations.
Paper in pdf format: [PDF].
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Notes on conformal field theory (with Beilinson and Feigin).
Paper in pdf format: [PDF].
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Questions about Number (an expository lecture on the ABC conjecture).
Paper in pdf format: [PDF].
- Here are some rough notes
Arithmetic in the geometry of symmetric spaces which was the text of a letter I wrote to John Millson in the mid-70's: [PDF].
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An article with Federica la Nave entitled
Reading Bombelli
appeared in February 2002 in the "Mathematical Intelligencer". Here are
local [PDF]
[dvi] versions of this article.
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I wrote a trade book called
Imagining Numbers (Particularly the Square Root of Minus Fifteen)
by Barry Mazur, Farrar, Straus and Giroux, 2003. Hardcover, 288 pp.,
ISBN 0374174695.