bio | website | math.mit.edu/~bottman |
---|---|---|
location | Cambridge, MA | |
age | 24 | |
visits | member for | 2 years, 8 months |
seen | Sep 7 at 5:00 | |
stats | profile views | 447 |
Grad student at MIT studying symplectic geometry.
Jul 2 |
awarded | Curious |
Nov 27 |
awarded | Yearling |
Nov 27 |
revised |
Fourier--Mukai transforms and adjunction
added 85 characters in body |
Nov 27 |
comment |
Fourier--Mukai transforms and adjunction
@QiaochuYuan thanks! If preservation of limits and colimits is an important consequence, then I will try and think about what that means for the derived category of coherent sheaves. I guess I failed to mention in my question that what I'm really interested in is geometric consequences for $D^b$, not "abstract nonsense consequences" that always happen when both $(F,G)$ and $(G,F)$ are adjoint pairs. |
Nov 27 |
asked | Fourier--Mukai transforms and adjunction |
Oct 27 |
awarded | Commentator |
Oct 27 |
comment |
Can symplectic blow up increase symplectic capacities?
Neat question. Seems plausible for Gromov width. What is your motivation? |
Oct 24 |
comment |
Why is there a connection between enumerative geometry and nonlinear waves?
@Javier: thanks! That looks like just what I need. |
Oct 23 |
comment |
Automorphisms of the affine quadric $z_1^2+\dots+z_n^2=1$
I think this is not true. Set $g: V \to V$ to be the identity, and define $g_1, \ldots, g_n$ by setting $g_1(z) := z_1 + \left(z_1^2 + \cdots + z_n^2 - 1\right)$ and $g_i(z) := z_i$ for $i > 1$. Am I missing something? |
Oct 22 |
awarded | Nice Question |
Oct 22 |
asked | Why is there a connection between enumerative geometry and nonlinear waves? |
Jul 16 |
accepted | What is known about the strong Arnold conjecture? |
May 29 |
revised |
What is known about the strong Arnold conjecture?
added 845 characters in body |
May 29 |
comment |
What is known about the strong Arnold conjecture?
Hi Thomas! You are right, I was mixing up the versions with and without the "nondegenerate" hypothesis. I will edit my question. |
May 13 |
comment |
Is there an easy way to write down the singular cohomology of a hypersurface in a toric variety?
@David I agree you can get all the Betti numbers except in the middle dimension (and that too, if you can get the Euler characteristic). But does this say much about the ring structure? |
May 12 |
accepted | How many “elementary” characterizations of twisted SU(2) representation varieties are known? |
May 12 |
comment |
Is there an easy way to write down the singular cohomology of a hypersurface in a toric variety?
OK, thanks Mariano. I find it really surprising that the ring structure of a projective hypersurface isn't easy to compute! |
May 11 |
revised |
Is there an easy way to write down the singular cohomology of a hypersurface in a toric variety?
added 10 characters in body; added 81 characters in body |
May 11 |
asked | Is there an easy way to write down the singular cohomology of a hypersurface in a toric variety? |
May 7 |
awarded | Teacher |