User Guillermo Mantilla

41 votes

Theorems with unexpected conclusions

answered Mar 14, 2010 at 4:48

40 votes

Favorite popular math book

answered Dec 11, 2009 at 22:52

19 votes

Favorite popular math book

answered Dec 11, 2009 at 22:41

18 votes

Statements in group theory which imply deep results in number theory

answered Dec 3, 2009 at 23:22

12 votes

What's the "best" proof of quadratic reciprocity?

answered Nov 26, 2009 at 9:23

12 votes

Theorems with unexpected conclusions

answered Mar 14, 2010 at 4:59

9 votes

Statements in group theory which imply deep results in number theory

answered Dec 4, 2009 at 0:09

8 votes

Accepted

Explicit map for Scholz reflection principle

answered Oct 3, 2010 at 8:06

7 votes

A finitely generated $\mathbb{Z}$-algebra that is a field has to be finite

answered Mar 6, 2011 at 3:23

7 votes

What elementary problems can you solve with schemes?

answered Mar 22, 2011 at 8:36

7 votes

Introductory reading on the Scholz reflection principle?

answered Sep 11, 2011 at 7:58

6 votes

Unique factorisation and the fact that $\mathbb A^2-0$ is not an affine variety?

answered Mar 6, 2011 at 4:42

6 votes

Accepted

A theorem of Stickelberger on the number of prime ideals in a decomposition

answered Apr 23, 2012 at 1:00

6 votes

How do we study Iwasawa theory?

answered Nov 27, 2009 at 7:48

5 votes

What is the first interesting theorem in (insert subject here)?

answered Nov 27, 2009 at 9:05

5 votes

Families of number fields of prime discriminant

answered Jan 5, 2010 at 3:25

4 votes

Can a non-surjective polynomial map from an infinite field to itself miss only finitely many points?

answered Nov 26, 2009 at 18:45

4 votes

Reference for representation theory of SL_2(Z/n)

answered Feb 2, 2012 at 10:44

3 votes

Good book on Riemann surfaces and Galois theory?

answered Feb 18, 2012 at 5:19

3 votes

Weierstrass points on rigid-analytic surfaces

answered Dec 11, 2009 at 4:40

2 votes

When can we prove constructively that a ring with unity has a maximal ideal?

answered Nov 28, 2009 at 10:38

2 votes

Faithful characters of finite groups

answered Mar 14, 2010 at 4:32

2 votes

Local-globalism for similar matrices?

answered Dec 13, 2009 at 0:13

2 votes

Splitting of primes in cubic fields with limited ramifications.

answered Feb 17, 2011 at 6:15

2 votes

Subgroups of groups of Square-free order

answered Mar 3, 2011 at 10:43

1 vote

applications of Tate-Poitou duality

answered Oct 24, 2010 at 10:05

1 vote

Factorization of elements vs. of ideals, and is being a UFD equivalent to any property which can be stated entirely without reference to ring elements?

answered Dec 5, 2009 at 5:11

0 votes

Accepted

Classes of fields and Cantor-Schröder-Bernstein

answered Feb 28, 2012 at 11:39

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28 Answers

Theorems with unexpected conclusions

Favorite popular math book

Favorite popular math book

Statements in group theory which imply deep results in number theory

What's the "best" proof of quadratic reciprocity?

Theorems with unexpected conclusions

Statements in group theory which imply deep results in number theory

Explicit map for Scholz reflection principle

A finitely generated $\mathbb{Z}$-algebra that is a field has to be finite

What elementary problems can you solve with schemes?

Introductory reading on the Scholz reflection principle?

Unique factorisation and the fact that $\mathbb A^2-0$ is not an affine variety?

A theorem of Stickelberger on the number of prime ideals in a decomposition

How do we study Iwasawa theory?

What is the first interesting theorem in (insert subject here)?

Families of number fields of prime discriminant

Can a non-surjective polynomial map from an infinite field to itself miss only finitely many points?

Reference for representation theory of SL_2(Z/n)

Good book on Riemann surfaces and Galois theory?

Weierstrass points on rigid-analytic surfaces

When can we prove constructively that a ring with unity has a maximal ideal?

Faithful characters of finite groups

Local-globalism for similar matrices?

Splitting of primes in cubic fields with limited ramifications.

Subgroups of groups of Square-free order

applications of Tate-Poitou duality

Factorization of elements vs. of ideals, and is being a UFD equivalent to any property which can be stated entirely without reference to ring elements?

Classes of fields and Cantor-Schröder-Bernstein