216

Answers

votes newest views recent

92

What are some examples of colorful language in serious mathematics papers?

88

Most memorable titles

54

What should be learned in a first serious schemes course? (3)

49

Etale cohomology — Why study it?

46

Justifying a theory by a seemingly unrelated example (2)

44

equivalence of Grothendieck-style versus Cech-style sheaf cohomology

41

Is there a compact group of countably infinite cardinality?

37

Fundamental problems whose solution seems completely out of reach

36

Widely accepted mathematical results that were later shown wrong?

32

Too old for advanced mathematics?

32

How has “what every mathematician should know” changed?

32

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

31

How to memorise (understand) Nakayama’s lemma and its corollaries?

31

Simplest examples of nonisomorphic complex algebraic varieties with isomorphic analytifications

31

Intuition for Group Cohomology

30

Kahler differentials and Ordinary Differentials

29

Theorems that are ‘obvious’ but hard to prove

29

What does the σ in σ-algebra stand for?

28

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

27

What elementary problems can you solve with schemes?

26

Isomorphism between varieties of char 0

25

flatness in complex analytic geometry

24

The influence of string theory on mathematics for philosophers.

23

Cardinalities larger than the continuum in areas besides set theory

22

Pseudonyms of famous mathematicians

22

Is there a Whitney theorem type theorem for projective schemes?

21

A ring on which all finitely generated projectives modules are free but not all projectives are free?

21

Theorems for nothing (and the proofs for free)

21

Reason for studying coherent sheaves on complex manifolds.

20

Wikipedia’s definition of ‘locally free sheaf’