User Daniel Moskovich

22 votes

Interactions of number theoretic conjectures and other fields of mathematics

answered Nov 12, 2013 at 1:52

22 votes

Mathematicians whose works were criticized by contemporaries but became widely accepted later

answered Feb 12, 2013 at 8:54

22 votes

Best algebraic geometry textbook? (other than Hartshorne)

answered Dec 17, 2009 at 2:31

22 votes

Dimension leaps

answered Dec 31, 2009 at 8:44

22 votes

How to write a good MathSciNet review?

answered Jan 28, 2021 at 13:41

21 votes

Widely accepted mathematical results that were later shown to be wrong?

answered Aug 19, 2010 at 16:57

20 votes

On connection between Knot theory and Operator algebra

answered May 24, 2012 at 7:52

20 votes

Examples of major theorems with very hard proofs that have not dramatically improved over time

answered Dec 20, 2013 at 9:20

20 votes

Examples of theorems with proofs that have dramatically improved over time

answered Dec 22, 2013 at 6:59

19 votes

Examples of conjectures that were widely believed to be true but later proved false

answered Apr 4, 2018 at 7:51

17 votes

Applications of arithmetic topology to number theory

answered Aug 12, 2016 at 5:47

17 votes

Accepted

Things that should be positive integers...really?

answered Sep 1, 2011 at 23:46

17 votes

Simple examples for the use of spectral sequences

answered May 3, 2010 at 6:39

16 votes

Your favorite surprising connections in mathematics

answered Feb 8, 2010 at 7:07

16 votes

Motivation and unsolved problems of TQFT

answered Aug 9, 2012 at 8:11

16 votes

Not especially famous, long-open problems which anyone can understand

answered Jul 19, 2013 at 3:02

15 votes

Elegant proof that any closed, oriented 3-manifold is the boundary of some oriented 4-manifold?

answered Apr 29, 2011 at 3:33

15 votes

Which mathematical ideas have done most to change history?

answered Feb 2, 2010 at 7:48

15 votes

Explanation for the Thom-Pontryagin construction (and its generalisations)

answered Jul 21, 2010 at 18:12

14 votes

Accepted

Utility of virtual knot theory?

answered Dec 1, 2010 at 20:55

14 votes

Is there a volume conjecture for closed 3-manifolds?

answered Feb 25, 2010 at 3:35

14 votes

Accepted

Knot diagrams, sets of moves and equivalence relations

answered Aug 7, 2012 at 9:41

14 votes

Why have mathematicians used differential equations to model nature instead of difference equations

answered Sep 30, 2014 at 4:56

13 votes

Accepted

What tools cannot work for orbifolds?

answered Jul 10, 2013 at 8:54

13 votes

Is the HOMFLY Polynomial the best knot invariant?

answered Mar 8, 2011 at 17:14

13 votes

Elementary + short + useful

answered Apr 3, 2011 at 20:54

13 votes

Who thought that the Alexander polynomial was the only knot invariant of its kind?

answered Apr 1, 2010 at 1:47

13 votes

What are the uses of the homotopy groups of spheres?

answered Apr 29, 2010 at 1:00

12 votes

What are some examples of narrowly missed discoveries in the history of mathematics?

answered Jun 21, 2010 at 2:44

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179 Answers

Interactions of number theoretic conjectures and other fields of mathematics

Mathematicians whose works were criticized by contemporaries but became widely accepted later

Best algebraic geometry textbook? (other than Hartshorne)

Dimension leaps

How to write a good MathSciNet review?

Widely accepted mathematical results that were later shown to be wrong?

On connection between Knot theory and Operator algebra

Examples of major theorems with very hard proofs that have not dramatically improved over time

Examples of theorems with proofs that have dramatically improved over time

Examples of conjectures that were widely believed to be true but later proved false

Applications of arithmetic topology to number theory

Things that should be positive integers...really?

Simple examples for the use of spectral sequences

Your favorite surprising connections in mathematics

Motivation and unsolved problems of TQFT

Not especially famous, long-open problems which anyone can understand

Elegant proof that any closed, oriented 3-manifold is the boundary of some oriented 4-manifold?

Which mathematical ideas have done most to change history?

Explanation for the Thom-Pontryagin construction (and its generalisations)

Utility of virtual knot theory?

More open problems

Is there a volume conjecture for closed 3-manifolds?

Knot diagrams, sets of moves and equivalence relations

Why have mathematicians used differential equations to model nature instead of difference equations

What tools cannot work for orbifolds?

Is the HOMFLY Polynomial the best knot invariant?

Elementary + short + useful

Who thought that the Alexander polynomial was the only knot invariant of its kind?

What are the uses of the homotopy groups of spheres?

What are some examples of narrowly missed discoveries in the history of mathematics?