1,043 reputation
616
bio website
location Cambridge, MA
age 26
visits member for 5 years
seen yesterday
I'm interested in topology, algebraic geometry and number theory.

Jun
26
awarded  Yearling
May
10
comment When is the Hom-scheme connected?
Whether or not you assume commutativity, you won't in general get connectivity. Take for example maps from the n'th neighborhood of $0$ in $\mathbb{A}^1$ into the n'th neighborhood of $0$ in $Spec(k[x,y]/(xy)$. These mapping spaces are in general at least as complicated as mapping spaces of fixed degree between projective varieties: if $A$ is functions on a neighborhood of the affine cone of a projective variety $X$ and $B$ is functions in a neighborhood of 0 in a veronese twisted affine cone of $Y$ then $Map(B,A)$ goes to $Map(X,Y)$ surjectively by taking blowups of tangent cones.
May
10
answered Fundamental group of the complement homogeneous variety in $\mathbb{C}P^{n-1}$
Apr
27
answered Is there a nonzero sheaf with all cohomologies vanish?
Apr
27
asked Twisting stable maps to C* equivariant space by a line bundle
Apr
5
answered On a theorem of Kazhdan
Mar
25
comment On a theorem of Kazhdan
Ah sorry, thought you were twisting by a character of the Levi (which would not affect the dimension... your current question makes a lot more sense).
Mar
24
revised On a theorem of Kazhdan
minor correction
Mar
24
awarded  Informed
Mar
24
revised On a theorem of Kazhdan
minor edit
Mar
24
answered On a theorem of Kazhdan
Mar
18
awarded  Popular Question
Feb
11
awarded  Self-Learner
Jan
12
revised Twisting of the power functor
minor edit: added the word "perfect" in a couple places
Jan
12
comment Twisting of the power functor
Hi David, I mean the category of perfect modules over $T(k)$, which I think it's enough to consider as a DG algebra over $k$. (Correct me if this doesn't make sense).
Jan
11
revised Twisting of the power functor
edited typo
Jan
11
asked Twisting of the power functor
Dec
1
accepted What is the coefficient ring of algebraic K theory of the discrete $\mathbb{C}$?
Sep
24
awarded  Autobiographer
Aug
13
revised When do limits and colimits of infinity-categories commute?
added some info on the case I'm interested in