User Qiaochu Yuan

31 votes

Your favorite surprising connections in mathematics

answered Feb 8, 2010 at 4:10

31 votes

Theorems that are 'obvious' but hard to prove

answered Jan 9, 2011 at 20:52

31 votes

Contest problems with connections to deeper mathematics

answered Jul 8, 2011 at 0:43

31 votes

Why are monadicity and descent related?

answered Dec 6, 2015 at 17:40

31 votes

Representation theory and elementary particles

answered Mar 16, 2017 at 19:22

30 votes

intuition for hochschild homology

answered Dec 30, 2017 at 0:36

30 votes

The sum of integers being a bijection

answered Dec 31, 2010 at 10:29

30 votes

Is there a homology theory that gives a necessary and sufficient condition for homotopy equivalence?

answered Apr 21, 2014 at 16:41

30 votes

Math puzzles for dinner

answered Jun 24, 2010 at 5:18

30 votes

Fundamental Examples

answered Nov 12, 2009 at 17:47

30 votes

What is an intuitive view of adjoints? (version 2: functional analysis)

answered Nov 23, 2009 at 13:59

29 votes

Accepted

Free, high quality mathematical writing online?

answered Oct 21, 2009 at 21:20

29 votes

Generalizing a problem to make it easier

answered Sep 26, 2010 at 20:40

29 votes

What would you want to see at the Museum of Mathematics?

answered Dec 26, 2010 at 5:39

29 votes

Accepted

Number of closed walks on an $n$-cube

answered Jul 31, 2011 at 17:26

29 votes

There is a nice theory of quadratic forms. How about cubic forms, quartic forms, quintic forms, ...?

answered Sep 13, 2022 at 17:17

28 votes

What is a field [Körper] really?

answered May 20, 2016 at 21:51

28 votes

Applications of mathematics

answered Feb 24, 2011 at 19:21

28 votes

Does homology have a coproduct?

answered Jul 4, 2014 at 5:11

28 votes

What is the field with one element?

answered Oct 24, 2009 at 19:28

28 votes

Dimension leaps

answered Nov 13, 2009 at 18:15

28 votes

Memorizing theorems

answered Nov 3, 2009 at 17:05

27 votes

Probability in number theory

answered Jan 26, 2010 at 4:46

27 votes

How should one present curl and divergence in an undergraduate multivariable calculus class?

answered Apr 19, 2010 at 20:15

27 votes

What advanced area of mathematics can be delved into with only basic calculus and linear algebra

answered Dec 16, 2010 at 7:09

27 votes

Why the triangle inequality?

answered May 20, 2011 at 10:19

27 votes

Accepted

Factorization of the characteristic polynomial of the adjacency matrix of a graph

answered Sep 6, 2020 at 8:26

26 votes

Are there non-trivial infinite chains of adjoint functors?

answered Jun 16, 2016 at 19:20

26 votes

What do the stable homotopy groups of spheres say about the combinatorics of finite sets?

answered Feb 10, 2015 at 2:14

26 votes

Integer matrices which are not a power

answered Jan 21, 2021 at 19:35

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951 Answers

Your favorite surprising connections in mathematics

Theorems that are 'obvious' but hard to prove

Contest problems with connections to deeper mathematics

Why are monadicity and descent related?

Representation theory and elementary particles

intuition for hochschild homology

The sum of integers being a bijection

Is there a homology theory that gives a necessary and sufficient condition for homotopy equivalence?

Math puzzles for dinner

Fundamental Examples

What is an intuitive view of adjoints? (version 2: functional analysis)

Free, high quality mathematical writing online?

Generalizing a problem to make it easier

What would you want to see at the Museum of Mathematics?

Number of closed walks on an $n$-cube

There is a nice theory of quadratic forms. How about cubic forms, quartic forms, quintic forms, ...?

What is a field [Körper] really?

Applications of mathematics

Does homology have a coproduct?

What is the field with one element?

Dimension leaps

Memorizing theorems

Probability in number theory

How should one present curl and divergence in an undergraduate multivariable calculus class?

What advanced area of mathematics can be delved into with only basic calculus and linear algebra

Why the triangle inequality?

Factorization of the characteristic polynomial of the adjacency matrix of a graph

Are there non-trivial infinite chains of adjoint functors?

What do the stable homotopy groups of spheres say about the combinatorics of finite sets?

Integer matrices which are not a power