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33 votes
24 answers
7k views

Early two-author math papers

The middle of the twentieth-century featured several famous papers with two authors. For example, Eilenberg and Mac Lane's papers introducing categories and Eilenberg-MacLane spaces appeared in 1945. ...
84 votes
11 answers
12k views

What are examples of (collections of) papers which "close" a field?

There is sometimes talk of fields of mathematics being "closed", "ended", or "completed" by a paper or collection of papers. It seems as though this could happen in two ways: A total characterisation,...
1 vote
0 answers
198 views

A zoo of derivations

Recall that given a $k$-algebra $A$, a derivation on $A$ is a $k$-linear morphism $d:A\to A$ such that $$d(ab)=d(a)b+ad(b).$$ The use of derivations is of paramount importance in mathematics. I think ...
19 votes
1 answer
883 views

Importance of textbooks in health of a sub-discipline

I am interested in published articles, and also more informal writing (blog posts, talk slides etc.) which discuss the importance of textbooks (where this word encompasses research monographs etc.) in ...
40 votes
29 answers
8k views

Autobiographies of mathematicians

According to Wikipedia, an autobiography is an account of the life of a person, written by that person sometimes with a collaborator. An autobiography offers the author the ability to recreate history....
29 votes
19 answers
39k views

Good books on problem solving / math olympiad [closed]

I would want all book tips you could think of regarding problem solving and books in general, in elementary mathematics, with a certain flavour for "advanced problem solving". An example ...
14 votes
29 answers
7k views

Which great mathematicians had great political commitments? [closed]

Some mathematicians claim that their field has nothing to do with political concerns; others are deeply involved in political life. Are there many great mathematicians with great political commitments?...
22 votes
17 answers
5k views

Which great mathematicians were also historians of mathematics?

As the question title suggests, which great mathematicians were also historians of mathematics? We all know plenty of great mathematicians, but not many historians of mathematics. Not to mention that ...
73 votes
17 answers
9k views

Mathematical research published in the form of poems

The article Friedrich Wille: Galerkins Lösungsnäherungen bei monotonen Abbildungen, Math. Z. 127 (1972), no. 1, 10-16 is written in the form of a lengthy poem, in a style similar to that of the ...
23 votes
7 answers
7k views

What are some Applications of Teichmüller Theory?

I'm trying to collect some specific examples of applications of Teichmüller Theory. Here are some things I have collected thus far: No-wandering-domain Theorem (Sullivan) Theorems of Thurston (...