5,765 reputation
33665
bio website personal.denison.edu/~whiteda
location Middletown, CT
age
visits member for 4 years, 5 months
seen 7 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, probability, and social networks, with an eye towards algorithms. I've also begun to dabble in game theory and economics.


1d
comment Model structure on non-negative differential graded algebras with homological grading
To add to Fernando's answer, have a look at Berger-Moerdijk Axiomatic Homotopy for Operads. In this case I'd look for a path object rather than trying to follow Spitzweck and do the filtration style argument for a general cofibrant operad $P$. Those filtrations can get very hairy and often you only end up with a semi-model structure not a full model structure.
1d
revised On various “extension closures” and “orthogonals” in triangulated categories
deleted 3 characters in body
1d
comment On various “extension closures” and “orthogonals” in triangulated categories
As I am sure you know, $E$ can be described as the $D$-acyclic objects. If $D$ can be replaced by just a set worth of objects which it suffices to test Mor(d,-) against then you can use the machinery of Verdier localization and Bousfield localization to get a lot more traction on $E$. See for example Neeman's book on triangulated categories. In that case $E$ is a colocalizing subcategory, so it's also closed under arbitrary products. I don't know about these pseudo-extensions. It reminds me of projective modules, so maybe already covered by retract closure?
May
14
revised Technical lemma about frame and cosimplicial resolution
deleted 1 character in body
May
5
reviewed Reject riemannian-geometry tag wiki
May
3
comment What if homotopy were expanded to allow any connected space instead of [0,1]?
Possibly related: mathoverflow.net/questions/80777
May
1
revised Direct proof that the model category of cdgas is left proper
edited body
May
1
reviewed Approve Algebraic closedness in field of fractions
Apr
13
awarded  Notable Question
Apr
12
comment Snake-like continua and universal images
I am a bit confused by the type-setting. Is that what is supposed to be in the grey box?
Apr
9
revised Technical lemma about frame and cosimplicial resolution
typos and grammar
Apr
8
reviewed Approve Polynomial generated with primitive element modulo p
Apr
8
revised Reference Request: Grouplike Algebras over the little $n$-cubes operad are $n$-fold loop spaces
fixed typo
Apr
5
revised When does Cantor-Bernstein hold?
Texified because it was on the front page anyway
Apr
5
reviewed Approve Intuition and/or visualisation of Ito integral/Ito's lemma
Apr
1
revised Why does this fundamental group not have elements of finite order?
added 1 character in body; edited title
Mar
27
awarded  Nice Answer
Mar
25
revised Why is the oriented $G$-homotopy type of a $G$-complex uniquely determined by the periodicity generator?
edited tags
Mar
21
reviewed Approve When does a perverse sheaf occur in the decomposition theorem?
Mar
21
revised Continuous maps to fat geometric realizations of simplicial spaces
edited body