User Daniel Moskovich

152 votes

26 answers

39k views

Has philosophy ever clarified mathematics?

asked Oct 1, 2014 at 5:39

113 votes

4 answers

13k views

Is there a sheaf theoretical characterization of a differentiable manifold?

asked Feb 10, 2012 at 0:30

82 votes

3 answers

13k views

Intuitive explanation for the Atiyah-Singer index theorem

asked May 4, 2010 at 8:41

82 votes

12 answers

15k views

Compelling evidence that two basepoints are better than one

asked Oct 3, 2010 at 18:26

79 votes

15 answers

9k views

Sophisticated treatments of topics in school mathematics

asked Dec 7, 2015 at 8:54

73 votes

6 answers

25k views

What is a cumulant really?

asked Oct 14, 2013 at 3:58

70 votes

6 answers

28k views

What are Jacob Lurie's key insights?

asked Sep 5, 2010 at 21:11

65 votes

16 answers

8k views

What is the high-concept explanation on why real numbers are useful in number theory?

asked Apr 14, 2011 at 2:40

51 votes

10 answers

26k views

Mathematically interesting screensavers

asked Aug 8, 2017 at 8:56

47 votes

4 answers

5k views

What is the source of this famous Grothendieck quote?

asked Jun 7, 2013 at 2:14

43 votes

8 answers

5k views

What part of the fundamental group is captured by the second homology group?

asked Sep 29, 2010 at 1:31

42 votes

26 answers

8k views

Where can square roots come from when they are not distances?

asked Mar 13, 2016 at 21:48

39 votes

6 answers

6k views

Who invented diagrammatic algebra?

asked Jun 3, 2014 at 5:29

35 votes

4 answers

4k views

Extending a diffeomorphism of the sphere $S^2$ to the ball $D^3$

asked Nov 13, 2011 at 21:18

32 votes

3 answers

3k views

How much linear algebra can be done with graphs?

asked Jun 17, 2011 at 23:30

31 votes

4 answers

2k views

Why do people study representations of 3-manifold groups into $SL(n,\mathbb{C})$?

asked Mar 27, 2016 at 16:12

30 votes

2 answers

4k views

The difference between a handle decomposition and a CW decomposition

asked Jan 25, 2012 at 9:43

29 votes

10 answers

3k views

Are infinite dimensional constructions needed to prove finite dimensional results?

asked Feb 17, 2011 at 19:15

29 votes

3 answers

4k views

What would the slice-ribbon conjecture imply?

asked Nov 28, 2009 at 14:51

28 votes

2 answers

3k views

Why is the Alexander polynomial a quantum invariant?

asked Dec 27, 2009 at 2:00

27 votes

5 answers

6k views

The Matrix-Tree Theorem without the matrix

asked Aug 22, 2011 at 8:41

26 votes

2 answers

3k views

Why is the volume conjecture important?

asked Sep 1, 2010 at 1:54

25 votes

3 answers

3k views

Understanding zeta function regularization

asked Apr 19, 2012 at 10:27

25 votes

3 answers

2k views

What are the implications of the simple loop conjecture?

asked Nov 30, 2015 at 21:01

24 votes

3 answers

3k views

Elevator pitch for the Virtual Fibering Theorem

asked Jun 14, 2012 at 2:28

24 votes

1 answer

2k views

How does the Framed Function Theorem simplify Cerf Theory?

asked May 3, 2011 at 14:08

23 votes

6 answers

6k views

Why chain homotopy when there is no topology in the background?

asked Mar 23, 2011 at 22:22

23 votes

4 answers

1k views

Mathematics TV clips

asked Feb 23, 2011 at 19:54

22 votes

4 answers

2k views

Natural setting for characteristic classes?

asked Apr 27, 2010 at 3:22

22 votes

4 answers

2k views

Searching for an unabridged proof of "The Basic Theorem of Morse Theory"

asked Jul 13, 2011 at 17:51

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76 Questions

Has philosophy ever clarified mathematics?

Is there a sheaf theoretical characterization of a differentiable manifold?

Intuitive explanation for the Atiyah-Singer index theorem

Compelling evidence that two basepoints are better than one

Sophisticated treatments of topics in school mathematics

What is a cumulant really?

What are Jacob Lurie's key insights?

What is the high-concept explanation on why real numbers are useful in number theory?

Mathematically interesting screensavers

What is the source of this famous Grothendieck quote?

What part of the fundamental group is captured by the second homology group?

Where can square roots come from when they are not distances?

Who invented diagrammatic algebra?

Extending a diffeomorphism of the sphere $S^2$ to the ball $D^3$

How much linear algebra can be done with graphs?

Why do people study representations of 3-manifold groups into $SL(n,\mathbb{C})$?

The difference between a handle decomposition and a CW decomposition

Are infinite dimensional constructions needed to prove finite dimensional results?

What would the slice-ribbon conjecture imply?

Why is the Alexander polynomial a quantum invariant?

The Matrix-Tree Theorem without the matrix

Why is the volume conjecture important?

Understanding zeta function regularization

What are the implications of the simple loop conjecture?

Elevator pitch for the Virtual Fibering Theorem

How does the Framed Function Theorem simplify Cerf Theory?

Why chain homotopy when there is no topology in the background?

Mathematics TV clips

Natural setting for characteristic classes?

Searching for an unabridged proof of "The Basic Theorem of Morse Theory"