User David Zureick-Brown

46 votes

Good introductory references on algebraic stacks?

answered Oct 23, 2009 at 18:07

45 votes

Accepted

Global fields: What exactly is the analogy between number fields and function fields?

answered Oct 20, 2009 at 5:02

22 votes

Advice on doing mathematical research

answered Oct 15, 2009 at 2:00

18 votes

Is there a high-concept explanation for why characteristic 2 is special?

answered Oct 17, 2009 at 20:46

18 votes

Are Jacobians principally polarized over non-algebraically closed fields?

answered Dec 1, 2009 at 22:05

17 votes

What is the inverse image sheaf necessary for in algebraic geometry?

answered Sep 30, 2010 at 16:32

17 votes

Is ${\rm S}_6$ the automorphism group of a group?

answered Oct 19, 2009 at 18:20

15 votes

Is there a universal property for Witt vectors?

answered Oct 2, 2009 at 10:07

15 votes

Has anyone thought about creating a formal proof wiki with verifier?

answered Oct 5, 2010 at 22:29

13 votes

Stacks in modern number theory/arithmetic geometry

answered May 15, 2012 at 5:45

13 votes

Simplicial objects

answered Oct 16, 2009 at 2:09

13 votes

Accepted

Examples of algebraic stacks without coarse moduli space?

answered Nov 2, 2009 at 5:47

12 votes

Accepted

When is a coarse moduli space also a fine moduli space?

answered Jan 3, 2010 at 3:19

12 votes

When is an algebraic space a scheme?

answered Nov 8, 2009 at 3:51

11 votes

What is an explicit example of a variety X which is finite over Spec F_p but which does not lift to a scheme Y which is finite and flat over Spec Z_p?

answered May 5, 2011 at 17:02

11 votes

Advice on doing mathematical research

answered Oct 15, 2009 at 2:03

10 votes

What is the Theorem of the Cube?

answered Oct 12, 2009 at 16:31

10 votes

Accepted

What is the affinization of M_g?

answered Oct 15, 2009 at 5:23

10 votes

Accepted

$n$-torsion fields of an elliptic curve defined over $\mathbb{Q}$

answered Aug 22, 2023 at 23:54

9 votes

Coarse moduli spaces over Z and F_p

answered Dec 28, 2009 at 23:23

8 votes

For which composite $N$ does $X_0(N)$ possess a non-cuspidal rational point?

answered Sep 22, 2010 at 20:28

8 votes

Accepted

Legitimacy of reducing mod p a complex multiplication action of an elliptic curve?

answered Dec 14, 2009 at 17:36

8 votes

Examples of great mathematical writing

answered Oct 14, 2009 at 15:05

7 votes

What is an example of a topological space that is not homotopy equivalent to a CW-complex?

answered Oct 18, 2009 at 21:59

7 votes

Local structure of Deligne-Mumford stacks

answered Mar 1, 2011 at 14:40

6 votes

When does the left-adjoint to a geometric morphism preserve epis?

answered Mar 30, 2010 at 19:14

6 votes

Colimits of schemes

answered Dec 28, 2009 at 18:53

6 votes

When is an algebraic space a scheme?

answered Nov 8, 2009 at 2:26

6 votes

Points on hyperelliptic curves: $y^2=5(x^2-3)(x^2+2)(x^2-11/5)$

answered Oct 8, 2019 at 13:21

6 votes

Undergraduate Level Math Books

answered Oct 16, 2009 at 19:55

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63 Answers

Good introductory references on algebraic stacks?

Global fields: What exactly is the analogy between number fields and function fields?

Advice on doing mathematical research

Is there a high-concept explanation for why characteristic 2 is special?

Are Jacobians principally polarized over non-algebraically closed fields?

What is the inverse image sheaf necessary for in algebraic geometry?

Is ${\rm S}_6$ the automorphism group of a group?

Is there a universal property for Witt vectors?

Has anyone thought about creating a formal proof wiki with verifier?

Stacks in modern number theory/arithmetic geometry

Simplicial objects

Examples of algebraic stacks without coarse moduli space?

When is a coarse moduli space also a fine moduli space?

When is an algebraic space a scheme?

What is an explicit example of a variety X which is finite over Spec F_p but which does not lift to a scheme Y which is finite and flat over Spec Z_p?

Advice on doing mathematical research

What is the Theorem of the Cube?

What is the affinization of M_g?

$n$-torsion fields of an elliptic curve defined over $\mathbb{Q}$

Coarse moduli spaces over Z and F_p

For which composite $N$ does $X_0(N)$ possess a non-cuspidal rational point?

Legitimacy of reducing mod p a complex multiplication action of an elliptic curve?

Examples of great mathematical writing

What is an example of a topological space that is not homotopy equivalent to a CW-complex?

Local structure of Deligne-Mumford stacks

When does the left-adjoint to a geometric morphism preserve epis?

Colimits of schemes

When is an algebraic space a scheme?

Points on hyperelliptic curves: $y^2=5(x^2-3)(x^2+2)(x^2-11/5)$

Undergraduate Level Math Books