5,450 reputation
33462
bio website dwhite03.web.wesleyan.edu
location Middletown, CT
age
visits member for 4 years
seen 2 hours ago

I am an assistant professor at Denison University. I completed my PhD at Wesleyan University in 2014 under the supervision of Mark Hovey, and I completed a masters degree in computer science under the supervision of Danny Krizanc. I'm mostly interested in questions involving (semi) model categories, Bousfield localization, and algebras over (colored) operads. I like to apply my work to stable, equivariant, and motivic homotopy theory. On the computer science side I like thinking about graph theory and probability, with an eye towards algorithms.

My email address is firstname.lastname at denison dot edu


21h
comment equivalence in simplicial category
I interpreted the OPs question to be about putting the structure of a relative category on $L^H(C)$, and then asking when two objects in the associated homotopy category are equivalent. So I figured references to work of Barwick and Raventos might be helpful.
1d
answered equivalence in simplicial category
1d
revised equivalence in simplicial category
edited body
Dec
13
awarded  Yearling
Dec
11
awarded  Popular Question
Dec
10
revised Whitehead for maps
Texified since it was on the front-page anyway.
Dec
10
revised Whitehead for maps
Texified since it was on the front-page anyway.
Dec
10
revised Whitehead for maps
Texified since it was on the front-page anyway.
Dec
1
revised Are generalized cohomology theories a homotopy category of some category of invariants?
Texified since it was on the front-page anyway. Also: clarified notation a bit.
Nov
28
comment Failure of “equivariant triangulation” for finite complexes equipped with a $G$-action
I'm not sure if this comment will be helpful or not, but you might consider checking out section 9.4 of Hovey-Palmieri-Strickland Axiomatic Stable Homotopy Theory. What you're asking about seems related to Theorem 9.4.3 and the discussion after. I seem to recall that when G/H fails to embed into the universe in question that things can break badly. I know G/H can fail to be strongly dualizable for instance. But I don't know how to build the example you're looking for.
Nov
23
comment Simplicial version of the A-infinity operad
The question has already been answered in the comments.
Nov
8
revised The relation between group cohomology and the cohomology of the classifying space
edited title
Nov
5
revised Eilenberg-Mac lane spaces and a generalization
edited title
Oct
30
awarded  Necromancer
Oct
29
answered What are your favorite puzzles/toys for introducing new mathematical concepts to students?
Oct
18
revised Fibrations of the injective model structure on G-simplicial sets
deleted 1 character in body
Oct
1
revised Why $( \infty , n)$-categories are useful for?
added 1 character in body
Sep
30
awarded  Explainer
Sep
24
reviewed Approve subschemes of abelian scheme over artinian basis
Sep
24
reviewed Approve List of integers without any arithmetic progression of n terms