User Adam Harris

41 votes

2 answers

15k views

Introductory text on Galois representations

asked Oct 5, 2011 at 19:23

30 votes

1 answer

4k views

Modern proof of Serre's open image theorem?

asked Sep 26, 2012 at 15:02

10 votes

3 answers

2k views

Kronecker's Jugendtraum for real quadratic fields?

asked Sep 8, 2012 at 10:49

7 votes

1 answer

370 views

Uniform bounds for the order of a rational torsion point on CM elliptic curves

asked May 24, 2012 at 16:44

6 votes

3 answers

430 views

Example of a diophantine application of an open image theorem

asked Oct 10, 2012 at 13:58

6 votes

1 answer

963 views

Mumford-Tate group and Galois representations

asked Dec 1, 2011 at 12:35

5 votes

2 answers

573 views

Intersection of field extensions of torsion points of non-isogenous elliptic curves

asked Sep 8, 2011 at 16:54

4 votes

0 answers

558 views

The abelianization of the derived subgroup of SL(2, Z / N Z).

asked Sep 5, 2011 at 21:08

4 votes

2 answers

599 views

Intersection of Hilbert class fields of imaginary quadratic fields

asked Sep 20, 2012 at 9:17

4 votes

2 answers

597 views

What does this quotient of the upper half plane parametrize?

asked Sep 25, 2012 at 11:35

4 votes

1 answer

688 views

Tate conjecture for abelian varieties over a finitely generated extension of an algebraically closed field

asked Mar 12, 2013 at 18:34

3 votes

1 answer

505 views

Shafarevich's theorem for elliptic curves defined over function field of algebraic curve over algebraically closed field

asked May 7, 2013 at 17:41

3 votes

1 answer

461 views

Image of isogeny of elliptic curves determines kernel?

asked Aug 14, 2012 at 11:09

3 votes

1 answer

394 views

Imaginary quadratic field contained in Hecke orbit field?

asked Oct 5, 2012 at 11:22

3 votes

3 answers

542 views

Another question related to the isogeny theorem for elliptic curves

asked Oct 9, 2012 at 19:42

3 votes

1 answer

754 views

Normal subgroups of projective special linear group over a ring

asked Jul 31, 2011 at 23:55

3 votes

0 answers

348 views

Cyclotomic fields and singular moduli

asked Oct 3, 2011 at 13:27

2 votes

2 answers

451 views

Fields obtained by adjoining x coordinates of torsion points on elliptic curves

asked Oct 5, 2011 at 13:28

2 votes

1 answer

714 views

Serre's open image theorem for products of elliptic curves over function fields via specialization

asked Sep 27, 2011 at 15:35

1 vote

0 answers

299 views

Weil pairing as an algebraic cycle?

asked Apr 17, 2012 at 20:26

1 vote

1 answer

498 views

Field of definition of a finite etale cover of an anabelian curve

asked Feb 25, 2013 at 15:49

0 votes

1 answer

212 views

A question regarding the j-function

asked Aug 31, 2012 at 15:51

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22 Questions

Introductory text on Galois representations

Modern proof of Serre's open image theorem?

Kronecker's Jugendtraum for real quadratic fields?

Uniform bounds for the order of a rational torsion point on CM elliptic curves

Example of a diophantine application of an open image theorem

Mumford-Tate group and Galois representations

Intersection of field extensions of torsion points of non-isogenous elliptic curves

The abelianization of the derived subgroup of SL(2, Z / N Z).

Intersection of Hilbert class fields of imaginary quadratic fields

What does this quotient of the upper half plane parametrize?

Tate conjecture for abelian varieties over a finitely generated extension of an algebraically closed field

Shafarevich's theorem for elliptic curves defined over function field of algebraic curve over algebraically closed field

Image of isogeny of elliptic curves determines kernel?

Imaginary quadratic field contained in Hecke orbit field?

Another question related to the isogeny theorem for elliptic curves

Normal subgroups of projective special linear group over a ring

Cyclotomic fields and singular moduli

Fields obtained by adjoining x coordinates of torsion points on elliptic curves

Serre's open image theorem for products of elliptic curves over function fields via specialization

Weil pairing as an algebraic cycle?

Field of definition of a finite etale cover of an anabelian curve

A question regarding the j-function