bio  website  math.berkeley.edu/~amathew 

location  Berkeley, CA  
age  
visits  member for  5 years, 6 months 
seen  17 hours ago  
stats  profile views  19,840 
Graduate student at UC Berkeley.
16m

awarded  Nice Answer 
Apr 8 
awarded  Nice Question 
Mar 16 
asked  Decomposition of symmetric powers of reduced regular representation modulo $p$ 
Mar 15 
awarded  Good Answer 
Mar 6 
comment 
Explict form of $E_\infty$morphisms between differential graded commutative algebras
So, homotopy classes of $A_\infty$maps $A \to B$ require in addition choosing a nullhomotopy (which is a torsor over $\pi_1 B$ in this case). 
Mar 6 
comment 
Explict form of $E_\infty$morphisms between differential graded commutative algebras
It is not true that the inclusion of $E_\infty$algebras into $A_\infty$algebras is fully faithful in characteristic zero. As an example, let $A$ be the (discrete) $E_\infty$algebra $\mathbb{Q}[x,y]$ and let $B$ be an $E_\infty$algebra with nontrivial $\pi_1$. As an $E_\infty$algebra, $A$ is free on two generators, so homotopy classes of maps $A \to B$ give $\pi_0 B \oplus \pi_0 B$. As an $A_\infty$algebra, $A$ is free on two generators $x,y$ together with a homotopy $xy \simeq yx$... 
Feb 19 
awarded  Revival 
Feb 18 
awarded  Nice Question 
Feb 12 
awarded  Nice Question 
Feb 11 
comment 
Lifting DGcategories to characteristic zero
@TylerLawson: I should clarify that I am interested in the stable case (so in your example, that would correspond to lifting modulo Morita equivalence). I am also interested in the question you raise, but I suspect there are counterexamples in the discrete case. 
Feb 11 
asked  Lifting DGcategories to characteristic zero 
Jan 26 
accepted  Can any object in a presentable category be written as a colimit of generators? 
Jan 26 
comment 
Can any object in a presentable category be written as a colimit of generators?
Todd and @MikeShulman, thanks for explaining this. 
Jan 26 
comment 
Can any object in a presentable category be written as a colimit of generators?
Interesting. Could you (or Mike) perhaps elaborate why $\mathbb{2}$ is not a colimitdense generator in $Cat$? 
Jan 26 
revised 
Can any object in a presentable category be written as a colimit of generators?
added 480 characters in body; edited title 
Jan 26 
asked  Can any object in a presentable category be written as a colimit of generators? 
Jan 24 
awarded  Necromancer 
Jan 23 
awarded  Revival 
Jan 23 
answered  What is to tmf as KR is to KO? 
Jan 14 
awarded  Popular Question 