bio  website  math.northwestern.edu/… 

location  Seattle, WA  
age  22  
visits  member for  4 years, 5 months 
seen  1 hour ago  
stats  profile views  4,335 
Graduate student at Northwestern.
Feel free to email me at
dwilson [at] u. northwestern. edu
:)
6h

comment 
Functoriality of the adjoint functor construction?
It seems like what you're asking is the following: "Suppose I have a cartesian fibration which is locally cocartesian, is it also cocartesian?" The answer to that question is "yes", but I may be misunderstanding your question. 
Nov 8 
comment 
Role of determinant of the matrix corresponding to $i$th Homology group.
For (1): The trace of the matrix associated to a permutation of the basis of your vector space is precisely the number of fixed points of the permutation. For (2): Don't have much but, if you have a selfmap of a torus T^n then the determinant of the map on H^1 is the map on H^n. 
Oct 19 
comment 
Do the algebras for a $\infty$monad form a stable $\infty$category?
On the other hand, maybe the OPs assumptions on $T$ will force the forgetful functor to preserve finite coproducts... since the forgetful functor preserves sifted colimits, this should give you the preservation of colimits that you're after. (If it works it will probably work under the weaker assumption that $T$ preserves coproducts.) 
Oct 19 
comment 
Do the algebras for a $\infty$monad form a stable $\infty$category?
Alg_T(C) is certainly not equivalent to its image in C! The maps are not the same. 
Oct 11 
answered  Steenrod operations in algebraic geometry 
Oct 10 
awarded  Popular Question 
Oct 9 
comment 
Number of minimal models of a surface
In this case the minimal model is determined by a rank 2 vector bundle on a curve of genus $H^1(\mathcal{O}_X)$, up to possible twist by a line bundle. I don't know offhand how large this is... I believe for elliptic curves there's only countably many such things (see Atiyah's paper on the subject). 
Sep 19 
comment 
Letter from Grothendieck to Tate on “crystals”
although it looks like the top of every page is missing a line... which is unfortunate. 
Sep 19 
comment 
Letter from Grothendieck to Tate on “crystals”
weird... it works now. Maybe I had a bad internet connection, or the site was having trouble earlier. Thank you! 
Sep 18 
comment 
Letter from Grothendieck to Tate on “crystals”
Did you ever end up writing up the letter? The link in your post doesn't seem to be working, and I can't find the letter elsewhere by googling. 
Sep 5 
comment 
$H^4(BG,\mathbb Z)$ torsion free for $G$ a connected Lie group
but that's perhaps just as computational, and only covers the simplyconnected case. 
Sep 5 
comment 
$H^4(BG,\mathbb Z)$ torsion free for $G$ a connected Lie group
If $G$ is simply connected then $\pi_i(G)$ is torsionfree for $i<4$ since $\pi_2$ of a Lie group is zero and $\pi_3$ is always torsionfree. Thus $\pi_i(BG)$ is torsionfree for $i\le 4$ and the result follows from mod C Hurewicz. 
Aug 23 
comment 
Morava $K(n)$'s are not $E_{\infty}$
At the prime 2 I don't even think they're homotopy commutative. In general they're probably not more than like... E_2. I don't know a reference... maybe Ravenel's orange book? 
Jul 15 
awarded  Informed 
Jul 4 
comment 
Mapping complexes in the simplicial localization of the category of manifolds
Oh dear you're right! My argument didn't make any sense I think I was assuming something absolutely absurd in my head... like that $Mfld[W^{1}]$ is a full subcategory of $Mfld$. hehe. doy... 
Jul 4 
revised 
Mapping complexes in the simplicial localization of the category of manifolds
added 137 characters in body 
Jul 4 
answered  Mapping complexes in the simplicial localization of the category of manifolds 
Jul 2 
awarded  Curious 
Jun 23 
awarded  Great Question 
Jun 23 
awarded  Famous Question 