Pete L. Clark's user avatar
Pete L. Clark's user avatar
Pete L. Clark's user avatar
Pete L. Clark
  • Member for 14 years, 5 months
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290 votes
34 answers
38k views

Which journals publish expository work?

230 votes
13 answers
40k views

Is there an introduction to probability theory from a structuralist/categorical perspective?

73 votes
3 answers
6k views

Is there a "purely algebraic" proof of the finiteness of the class number?

71 votes
11 answers
8k views

How to introduce notions of flat, projective and free modules?

69 votes
19 answers
8k views

What are some results in mathematics that have snappy proofs using model theory?

68 votes
3 answers
9k views

What is the status of the Gauss Circle Problem?

48 votes
4 answers
4k views

Are there more Nullstellensätze?

48 votes
8 answers
8k views

When are there enough projective sheaves on a space X?

47 votes
1 answer
3k views

Which small finite simple groups are not yet known to be Galois groups over Q?

45 votes
2 answers
4k views

Why do we care whether a PID admits some crazy Euclidean norm?

43 votes
5 answers
3k views

Explicit elements of $K((x))((y)) \setminus K((x,y))$

43 votes
4 answers
4k views

A principle of mathematical induction for partially ordered sets with infima?

43 votes
3 answers
7k views

transcendental Galois theory

37 votes
2 answers
11k views

A finitely generated, locally free module over a domain which is not projective?

35 votes
3 answers
2k views

How much choice is needed to show that formally real fields can be ordered?

35 votes
6 answers
3k views

On the universal property of the completion of an ordered field

34 votes
4 answers
5k views

What is the right definition of the Picard group of a commutative ring?

32 votes
4 answers
2k views

Do there exist non-PIDs in which every countably generated ideal is principal?

26 votes
4 answers
3k views

What is the "right" universal property of the completion of a metric space?

26 votes
3 answers
6k views

An unfamiliar (to me) form of Hensel's Lemma

26 votes
3 answers
2k views

When does a Galois connection induce a topology?

24 votes
1 answer
3k views

What is a special parahoric subgroup?

24 votes
3 answers
4k views

Subgroups of free abelian groups are free: a topological proof?

24 votes
3 answers
7k views

In model theory, does compactness easily imply completeness?

22 votes
3 answers
1k views

Must a ring which admits a Euclidean quadratic form be Euclidean?

21 votes
4 answers
2k views

Two questions about finiteness of ideal classes in abstract number rings

21 votes
1 answer
4k views

When is the torsion subgroup of an abelian group a direct summand?

21 votes
6 answers
2k views

Three questions on large simple groups and model theory

20 votes
8 answers
3k views

What are examples illustrating the usefulness of Krull (i.e., rank > 1) valuations?

20 votes
3 answers
2k views

Are there as many real-closed fields of a given cardinality as I think there are?