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2d

revised 
Constructing quintic number fields with certain splitting behaviour
added 418 characters in body 
2d

answered  Constructing quintic number fields with certain splitting behaviour 
Jul 8 
awarded  Nice Answer 
Jul 2 
awarded  Curious 
Jun 18 
awarded  Nice Answer 
May 16 
answered  Motives over finite field not generated by hyperelliptic curves 
Apr 29 
comment 
Argument for unboundedness of integral points of elliptic curves over number fields
Oh I see. But if that's what joro was asking, I don't see how his construction gives any hint of how to get unbounded rank over a fixed K. 
Apr 28 
comment 
Argument for unboundedness of integral points of elliptic curves over number fields
It should do. Just take your r points defined over disjoint quadratic fields, whose compositum is K; the MW rank over THAT field is finite, so you can certainly choose an integer x such that (sqrt(f(x))) generates a further quadratic extension of K, then you have rank r+1 and you just keep going. 
Apr 28 
answered  How many solutions to $2^a + 3^b = 2^c + 3^d$? 
Apr 28 
answered  Argument for unboundedness of integral points of elliptic curves over number fields 
Apr 7 
awarded  Good Answer 
Feb 24 
comment 
What can we learn from the tropicalization of an algebraic variety?
Actually, I find Dustin Cartwright's work on the higherdimensional case very convincing. 
Jan 8 
comment 
Consecutive averages of sequence (or difference quotients of partial sums) always square
A nice special case is to ask whether a periodic sequence x,y,z,x,y,z,... can have all 1,2,3averages perfect squares. This is a question about a cover of P^2 obtained by adjoining square roots of 7 linear forms; it would be fun to work out what this surface looks like and whether e.g. one has some rational curves on it. 
Nov 8 
awarded  Enlightened 
Nov 8 
awarded  Nice Answer 
Nov 1 
awarded  Enlightened 
Nov 1 
awarded  Nice Answer 
Oct 25 
awarded  Nice Answer 
Oct 24 
revised 
Probability of coprime polynomials
added 98 characters in body 
Oct 24 
answered  Probability of coprime polynomials 