254 Philosophy behind Mochizuki's work on the ABC conjecture 2012-09-07T01:06:48.947

86 How do you decide whether a question in abstract algebra is worth studying? 2010-09-24T06:17:01.583

76 Motivation for algebraic K-theory? 2009-10-12T17:59:37.903

48 Why are spectral sequences so ubiquitous? 2009-12-07T00:43:37.563

46 Why tropical geometry? 2011-12-16T14:49:30.620

40 Is there a good way to think of vanishing cycles and nearby cycles? 2009-10-21T05:26:03.130

33 What motivates modern algebraic geometry for a combinatorial/constructive algebraist? 2011-10-01T20:37:05.330

33 Why is the definition of the higher homotopy groups the "right one"? 2017-10-21T17:39:31.130

30 Applications of Noncommutative Geometry 2010-02-07T17:32:18.410

29 What motivations for automorphic forms? 2018-01-15T14:34:51.067

23 Why are subfactors interesting? 2009-10-15T02:09:30.273

22 Are quivers useful outside of Representation Theory? 2011-10-12T16:34:58.360

21 Why localize spaces with respect to homology? 2014-07-07T23:55:46.287

17 Nice application of generalized smooth spaces 2011-02-11T14:28:09.270

17 Why symplectic geometry gives Poisson geometry 2016-11-18T19:43:22.427

16 Understanding iterated integrals 2010-01-20T18:27:12.080

16 Are rings really more fundamental objects than semi-rings? 2010-04-07T07:51:54.343

15 Fundamental motivation for several complex variables 2012-11-27T04:12:36.993

14 Motivation for equivariant homotopy theory? 2015-11-02T03:57:10.850

13 How to motivate the skein relations? 2010-04-05T17:29:50.937

13 Is modern computability theory "really" about algorithms? 2011-04-06T20:25:26.940

11 Motivation for the Preprojective Algebra 2014-04-18T09:23:00.763

10 Motivation for uniform surjectivity of mod l representations associated to elliptic curves 2009-11-23T05:48:17.587

10 Why do we study symplectic geometry? 2016-04-29T07:20:09.227

9 How to understand the concept of compact space 2010-05-26T08:40:13.937

9 Why doesn't this group have a name? 2012-09-20T01:37:18.513

7 Snazzy applications of Several Complex Variables techniques 2012-04-24T16:13:11.587

7 applications of Berkovich spaces 2015-03-13T16:16:38.937

6 applications of Tate-Poitou duality 2010-10-17T11:11:01.400

6 Examples of high level math that can be motivated to laypeople 2016-04-04T21:03:35.157

6 Why the circle for Pontryagin duality? 2018-02-28T01:36:40.693

5 Motivation for the covariant model structure on SSet/S 2010-02-25T01:35:23.717

5 Why are Galois Representations so important in Number theory ? 2012-08-03T09:49:31.993

4 Motivations for the study of dual connections 2017-06-11T23:13:10.383

3 motivation for compactness 2010-06-30T05:55:25.367

3 Bounded Cohomology Motivation 2017-12-08T06:35:56.750

2 Motivation for studying group of homeomorphisms of topological spaces 2017-11-29T20:38:39.400

1 How to understand a rooting of a dessin d'enfant? 2014-10-04T04:07:14.443

1 Applications of Iss'sa's theorem on homomorphisms between algebras of meromorphc functions 2016-05-08T03:01:55.467