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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.

6 votes

About Grothendieck and special cases

An idea is discussed in Colin Mclarty's paper "The Rising Sea: Grothendieck on simplicity and generality I" which could be where your paraphrase of Grothendieck's method originated. That source does g …
Tim Porter's user avatar
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4 votes

Concrete works by Alexandre Grothendieck, other than Dessin d'Enfants?

It all depends on what you mean by ‘concrete’. Have you looked through the various articles / notes etc. on the [Grothendieck circle website] that contains many of his unpublished works. There are a …
Tim Porter's user avatar
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5 votes

On Street's "australian conspectus"

For 2., there is a sense in which you are right but that is `in hindsight'. The nature of homotopy limits from a categorical point of view was not clear (at least to me). There were several approache …
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5 votes

Brandt's definition of groupoids (1926)

As Yemon suggests in the Comments, perhaps you need to look at Ronnie Brown's paper: http://groupoids.org.uk/pdffiles/groupoidsurvey.pdf and then, I would add, to look at his book `Topology and grou …
Tim Porter's user avatar
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10 votes

Mathematics in Retirement

Gerhard Paseman suggested that I post the comments I made to his post as an answer. I will edit it a bit.) I suggest that a blog with theme exactly the question of maths in retirement might be quite …
64 votes

What are Jacob Lurie's key insights?

My answer would be that his insight was firstly that it pays to take what Grothendieck said in his various long manuscripts, extremely seriously and then to devote a very large amount of thought, time …
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