bio  website  personal.denison.edu/~whiteda 

location  Middletown, CT  
age  
visits  member for  4 years, 6 months 
seen  23 mins ago  
stats  profile views  7,528 
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, probability, and social networks, with an eye towards algorithms. I've also begun to dabble in game theory and economics.
14h

revised 
Can triangulated categories be “approximated by countable subcategories” (that are triangulated but not full!)?
edited title 
16h

comment 
On combinatorial and cellular model categories and infinity categories
Awesome, thanks! I knew that paper, but somehow did not know that result. 
1d

comment 
On combinatorial and cellular model categories and infinity categories
I edited to clarify what I wanted regarding (2), i.e. cofibrantly generated but not cellular. I didn't mean it as a subquestion of (1). So I think procategories answer (3) nicely and your example of a pro category of a large finitely complete and cocomplete $\infty$category seems to answer (1) very nicely. 
1d

comment 
On combinatorial and cellular model categories and infinity categories
Any luck finding that reference from Dugger? Also, I clarified what I was looking for in (2), i.e. something cofibrantly generated but not cellular. Pro categories seem to be a really nice example 
1d

revised 
On combinatorial and cellular model categories and infinity categories
Clarified (2) 
1d

revised 
On combinatorial and cellular model categories and infinity categories
edited body 
1d

revised 
Model for the (infinity,1)category of (homotopy)limit preserving functors
added 1 character in body 
Jun 26 
comment 
Cellular model structures on continuous functors
In your first comment you say that evaluating a cell complex only gives a sequence of hcofibrations. I don't think that's quite right. The generating cofibrations are objectwise cofibrations in Top, and colimits are computed objectwise, so any cell complex will be an objectwise cofibration. In particular, you do know that when you evaluate a cell complex (a.k.a. a presentation of T) that every map is an objectwise cofibration, and I use that in the proof below. The proof is probably still valid with objectwise hcofibrations, but I wanted to avoid that generality 
Jun 26 
revised 
Cellular model structures on continuous functors
Finally found a complete proof 
Jun 24 
revised 
What are the benefits of viewing a sheaf from the “espace étalé” perspective?
fixed typos since it was on the front page anyway 
Jun 24 
revised 
What are the benefits of viewing a sheaf from the “espace étalé” perspective?
fixed typos since it was on the front page anyway 
Jun 23 
comment 
On combinatorial and cellular model categories and infinity categories
I found a place where the dual came up naturally: mathoverflow.net/questions/117267/… 
Jun 20 
comment 
On combinatorial and cellular model categories and infinity categories
Hi Dylan. Thanks for your answer. Can you give a precise reference for (1)? If I ever learned that result before I must have forgotten it. Regarding (3), I like the pro example. Can you think of a specific instance when the opposite of a presentable $\infty$category was needed? I can't seem to think of a time anyone needed the opposite of a combinatorial model category. 
Jun 20 
revised 
On combinatorial and cellular model categories and infinity categories
edited in response to a comment 
Jun 20 
comment 
On combinatorial and cellular model categories and infinity categories
Dear Tyler: yes, I think it would be good to assume that for the purpose of this question. Of course, if it's lacking one can still ask for a model structure in the sense of Hovey's book rather than a model category but I don't feel the need to get into that right now. So I'll edit to make it clear I want things to be bicomplete, and thanks for pointing this out 
Jun 19 
comment 
Localizations of model categories and $\infty$categories
I am not so sure that you can remove the requirement about being simplicial. This doesn't feel like the sort of situation where it's just a choice of framing. Rather, Lurie's nice adjunction you mention seems to need the simplicial hypothesis in a stronger way. I guess what I'm saying is: I'd love to see someone actually do that work to remove the simplicial hypothesis, because I think I'd learn something from it. 
Jun 19 
comment 
On combinatorial and cellular model categories and infinity categories
I should advertise that a related question is: mathoverflow.net/questions/189301/… 
Jun 19 
asked  On combinatorial and cellular model categories and infinity categories 
Jun 19 
revised 
Compact open topology on $\mathrm{Homeo}(X)$
fixed typos since it was on the front page anyway 
Jun 17 
revised 
Does the CGWHfication change the (weak) homotopy type?
edited body 