bio  website  math.wisc.edu/~ellenber 

location  
age  
visits  member for  4 years, 10 months 
seen  24 mins ago  
stats  profile views  8,840 
39m

awarded  Popular Question 
5h

awarded  Nice Question 
Aug 26 
comment 
Nonhyperelliptic families of curves with trivial Ceresa class (or GrossSchoen class)
My student Lalit Jain pointed out to me the paper "The Griffiths Infinitesimal Invariant for a Curve in its Jacobian," by Collino and Pirola, which shows that a family of genusg curves whose codimension in M_g is less than ~g/3 has nontrivial Ceresa. So that's something! 
Aug 22 
comment 
Nonhyperelliptic families of curves with trivial Ceresa class (or GrossSchoen class)
Wait so I'm completely unaware that it's "generally believed" that nonhyperelliptic curves have nontorsion Ceresa cycle  who believes this, have they written down why they believe it, etc.? 
Aug 21 
comment 
Nonhyperelliptic families of curves with trivial Ceresa class (or GrossSchoen class)
I just mean etale cohomology  I suppose this is "really" a motivic question but I don't think I need to invoke anything of that kind to get at what I'm interested in. 
Aug 21 
asked  Nonhyperelliptic families of curves with trivial Ceresa class (or GrossSchoen class) 
Aug 1 
awarded  Famous Question 
Jul 29 
awarded  Nice Answer 
Jul 21 
revised 
Constructing quintic number fields with certain splitting behaviour
added 418 characters in body 
Jul 21 
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. 