1,883 reputation
421
bio website mysbfiles.stonybrook.edu/…
location Simons Center
age 30
visits member for 4 years
seen 7 hours ago

Research Asst Professor

Interested in Symplectic geometry, complex Algebraic geometry, Gromov-Witten theory, Mirror symmetry, Calabi-Yau threefolds, Enumerative geometry, Abelian surfaces, Moduli space of objects with real structure, ...


Apr
17
comment Intersection theory on M_{g,n}
I am aware of a Macaulay based program doing this but I am looking for some printed numbers.
Apr
17
asked Intersection theory on M_{g,n}
Apr
10
awarded  Yearling
Mar
15
accepted Are rational varieties simply connected?
Mar
13
awarded  Nice Question
Mar
9
comment almost holomorphic line bundles
Thanks for sharing your thoughts. I agree with the first paragraph on how the question can be stated. Then in fact, my question is about the existence of a good J_M; generic J_M does not have this property for sure. I am looking for topological or symplectic obstructions against the existence of such J_M. For example, chern class of L is a well-defined 2-form no matter what J is. Then what does the existence of such J impose on this class; if J_M is good, can we conclude that c_1(L) would be (1,1) with respect to J_M? and similar.
Mar
7
asked almost holomorphic line bundles
Feb
24
comment 3D objects with projections of constant area
math.sc.edu/~howard/Reprints/published_brightness.pdf
Feb
24
comment 3D objects with projections of constant area
what is the non-spherical solid of constant diameter in your hand?
Feb
17
awarded  Promoter
Feb
17
comment A good metric for transversal intersections
I need to identify a neighborhood of normal bundle with a neighborhood of V in M for some construction to work.
Feb
15
comment A good metric for transversal intersections
I was naive, Misha's definition is the rigorous one.
Feb
15
comment A good metric for transversal intersections
Thanks for the edit, I was lazy to do that!
Feb
15
comment A good metric for transversal intersections
@Taghavi: You special case is OK, but very easy due to your assumptions.
Feb
15
comment A good metric for transversal intersections
Being transverse is a property which involves all the manifolds at the same time, transverse manifolds have minimal possible intersection on every subset.
Feb
15
comment A good metric for transversal intersections
A transverse set of 3 hypersurfaces in $\mathbb{R}^3$ has only points in their triple intersection. Your example is not a transverse intersection (although every two of them are transverse).
Feb
14
comment A good metric for transversal intersections
@ Taghavi: transversal means tangent spaces of different components at a point are in general position, i.e. each group of them has minimum intersection. They might not generate the whole space (e.g to curves in dimension 3) or might not have mutual trivial intersection (e.g surfaces in dim 3).
Feb
14
comment A good metric for transversal intersections
Try to think more.
Feb
14
comment A good metric for transversal intersections
all the $V_i$ at the same time Sir! not just $V$. Read the question carefully before you vote to close it.
Feb
14
asked A good metric for transversal intersections