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

83 votes
5 answers
13k views

How to find ICM talks?

I am very interested in reading some and skimming through the list of invited talks at the International Congress of Mathematicians. Since the proceedings contain talks supposedly by top experts in ea …
Hailong Dao's user avatar
  • 30.6k
33 votes

Plagiarism in the community

My answer is fairly simple, perhaps due to my own ignorance and inexperience, but since you asked: There is a non-zero risk. But the rewards for talking and sharing with people about math far outweig …
30 votes

Every mathematician has only a few tricks

Those of us who are old enough may remember http://www.tricki.org/ Localize + complete, taking a hypersurface section, and using the socle are useful tricks in commutative algebra.
29 votes
14 answers
2k views

Webpages for specialized communities

First, my apology for this soft question. My excuse was that I really think this may be of interest to the community. I would understand if it gets closed (I have advocated closing some soft questions …
21 votes
4 answers
2k views

The first female algebraist in US/Britain?

Recently I dug up some biographical details of Lindsay Burch, of Hilbert-Burch Theorem fame, whose few papers have had quite an impact on commutative algebra. This made me curious about the first wome …
Hailong Dao's user avatar
  • 30.6k
21 votes

Serre's theorem about regularity and homological dimension

ADDED: There is an account written by Buchsbaum (see page 1 and 2 of number 23 here) which described in more details what they wrote in [1]. So the localization problem for regular rings was definitel …
Hailong Dao's user avatar
  • 30.6k
15 votes

The first female algebraist in US/Britain?

I followed the reference suggested by KConrad in the comments and found perhaps the answer to Question 1: Annie MacKinnon, who got her PhD from Cornell in 1894 with the thesis "Concomitant Binary Form …
Hailong Dao's user avatar
  • 30.6k
11 votes
1 answer
1k views

A missing paper by Auslander?

I was reading Auslander's talk at the 1962 ICM (beginning of Section 2 on this page). At the end, the reference began: [1] M. Auslander, Modules over unramified regular local rings, Illinois. J. Math …
Hailong Dao's user avatar
  • 30.6k
8 votes

The half-life of a theorem, or Arnold's principle at work

There is the Hilbert-Burch Theorem, which gives structure of Cohen-Macaulay ideals having projective dimension one in a regular or polynomial ring. The named authors published their results about 80 y …
1 vote

Webpages for specialized communities

Motivic or $A^1$-homotopy theory. Affine algebraic geometry. Cluster Algebra Portal.