User Hailong Dao

61 votes

Accepted

What is the insight of Quillen's proof that all projective modules over a polynomial ring are free?

answered Mar 28, 2010 at 9:12

54 votes

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Do all exact $1 \to A \to A \times B \to B \to 1$ split for finite groups?

answered Nov 4, 2011 at 3:57

50 votes

Serre's FAC in English

answered Feb 6, 2010 at 17:46

43 votes

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Regular, Gorenstein and Cohen-Macaulay

answered Jun 18, 2011 at 15:17

39 votes

Suggestions for special lectures at next ICM

answered Aug 6, 2020 at 23:55

39 votes

How Much Work Does it Take to be a Successful Mathematician?

answered Dec 26, 2009 at 17:26

36 votes

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When is the product of two ideals equal to their intersection?

answered Dec 13, 2010 at 19:23

34 votes

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Local complete intersections which are not complete intersections

answered Jun 5, 2010 at 22:26

34 votes

Noteworthy, but not so famous conjectures resolved recent years

answered Feb 2, 2019 at 22:22

33 votes

Plagiarism in the community

answered Aug 6, 2011 at 4:12

33 votes

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Polynomials with rational coefficients

answered Jun 6, 2010 at 9:39

32 votes

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Reference book for commutative algebra

answered Feb 26, 2010 at 15:21

31 votes

Open affine subscheme of affine scheme which is not principal

answered Nov 30, 2009 at 1:57

31 votes

How professional mathematicians deal with discouragement?

answered Apr 5, 2021 at 3:55

30 votes

Every mathematician has only a few tricks

answered Jun 15, 2020 at 14:51

28 votes

Checking whether a variety is normal

answered Mar 31, 2011 at 0:54

26 votes

Short exact sequences every mathematician should know

answered Jun 21, 2020 at 17:24

21 votes

Serre's theorem about regularity and homological dimension

answered Jul 31, 2012 at 3:52

21 votes

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How to introduce notions of flat, projective and free modules?

answered Nov 19, 2010 at 2:05

21 votes

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Minimal number of generators of a homogeneous ideal (exercise in Hartshorne)

answered Feb 17, 2010 at 18:46

20 votes

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Can a module be an extension in two really different ways?

answered Oct 15, 2010 at 17:09

19 votes

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Space Curves as Determinantal Varieties

answered Nov 9, 2010 at 7:07

18 votes

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Two questions about Cohen-Macaulay rings

answered Apr 15, 2010 at 18:15

17 votes

Nonsingular/Normal Schemes

answered Jan 22, 2010 at 20:33

16 votes

The finite subgroups of SL(2,C)

answered Feb 22, 2010 at 4:38

16 votes

Elementary / Interesting proofs of the Nullstellensatz

answered Feb 14, 2010 at 3:54

16 votes

Seeking Noetherian normal domain with vanishing Picard group but not a UFD

answered May 24, 2010 at 16:25

16 votes

Is physical stamina important for doing mathematics?

answered Jan 30, 2021 at 16:06

16 votes

How often do you put your research into trash?

answered Sep 2, 2021 at 17:05

15 votes

The first female algebraist in US/Britain?

answered Mar 11, 2021 at 19:58

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269 Answers

What is the insight of Quillen's proof that all projective modules over a polynomial ring are free?

Do all exact $1 \to A \to A \times B \to B \to 1$ split for finite groups?

Serre's FAC in English

Regular, Gorenstein and Cohen-Macaulay

Suggestions for special lectures at next ICM

How Much Work Does it Take to be a Successful Mathematician?

When is the product of two ideals equal to their intersection?

Local complete intersections which are not complete intersections

Noteworthy, but not so famous conjectures resolved recent years

Plagiarism in the community

Polynomials with rational coefficients

Reference book for commutative algebra

Open affine subscheme of affine scheme which is not principal

How professional mathematicians deal with discouragement?

Every mathematician has only a few tricks

Checking whether a variety is normal

Short exact sequences every mathematician should know

Serre's theorem about regularity and homological dimension

How to introduce notions of flat, projective and free modules?

Minimal number of generators of a homogeneous ideal (exercise in Hartshorne)

Can a module be an extension in two really different ways?

Space Curves as Determinantal Varieties

Two questions about Cohen-Macaulay rings

Nonsingular/Normal Schemes

The finite subgroups of SL(2,C)

Elementary / Interesting proofs of the Nullstellensatz

Seeking Noetherian normal domain with vanishing Picard group but not a UFD

Is physical stamina important for doing mathematics?

How often do you put your research into trash?

The first female algebraist in US/Britain?