S1

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279

303

votes

169

answers

75k

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Examples of common false beliefs in mathematics. [closed]

big-list mathematics-education mathematics-psychology

apr 16 at 19:41 Benjamin Steinberg 10.6k●1●14●49

93

125

votes

28

answers

11k

views

Which journals publish expository work?

journals exposition

mar 29 at 23:50 William 362●1●9

65

92

votes

26

answers

9k

views

What are some reasonable-sounding statements that are independent of ZFC?

independence-results examples set-theory lo.logic big-list

may 9 at 20:36 Santi Spadaro 666●4●6

84

68

votes

15

answers

8k

views

How do I make the conceptual transition from multivariable calculus to differential forms?

dg.differential-geometry calculus smooth-manifolds intuition

mar 23 at 6:56 chairman mao 1

49

58

votes

10

answers

5k

views

Why are modular forms interesting?

modular-forms big-picture big-list

nov 2 11 at 20:59 Daniel Parry 708●5●10

54

56

votes

8

answers

3k

views

Why are flat morphisms “flat?”

ag.algebraic-geometry intuition soft-question

oct 4 10 at 5:49 Sándor Kovács 23.7k●2●52●73

62

49

votes

10

answers

7k

views

Motivation for algebraic K-theory?

at.algebraic-topology algebraic-k-theory motivation kt.k-theory-homology

jun 14 11 at 14:25 Anil P 33●6

29

45

votes

8

answers

3k

views

equivalence of Grothendieck-style versus Cech-style sheaf cohomology

sheaf-theory cohomology ag.algebraic-geometry

mar 15 11 at 7:00 Anton Geraschenko♦♦ 13.7k●3●48●108

28

44

votes

2

answers

3k

views

The inverse Galois problem and the Monster

gr.group-theory galois-theory nt.number-theory ag.algebraic-geometry

feb 12 10 at 16:34 aorq 2,450●17●36

48

40

votes

7

answers

6k

views

A learning roadmap for Representation Theory

rt.representation-theory

mar 14 10 at 18:28 Chuck Hague 2,411●5●15

22

36

votes

10

answers

2k

views

Why are characters so well-behaved?

rt.representation-theory finite-groups soft-question

jun 29 11 at 15:48 Phil Isett 983●4●11

49

36

votes

14

answers

5k

views

Why is it a good idea to study a ring by studying its modules?

soft-question ra.rings-and-algebras big-picture

mar 29 11 at 2:40 Joël Cohen 86●1●5

48

35

votes

3

answers

5k

views

What’s the “Yoga of Motives”?

motives ag.algebraic-geometry

nov 23 11 at 6:13 Thomas Riepe 5,897●1●24●56

13

35

votes

4

answers

2k

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Torsion in homology or fundamental group of subsets of Euclidean 3-space

homology at.algebraic-topology gn.general-topology gt.geometric-topology

nov 19 10 at 19:51 Sergey Melikhov 3,692●12●19

37

35

votes

5

answers

4k

views

Why are spectral sequences so ubiquitous?

motivation spectral-sequences kt.k-theory-homology homological-algebra

oct 16 10 at 8:50 Greg Kuperberg 36.2k●2●116●179