Publications

Infinity Properads and Infinity Wheeled Properads
with Marcy Robertson and Donald Yau
Lecture Notes in Mathematics 2147
arxiv:1410.6716 [math.AT]

Preprints

Configuration spaces form a Segal semi-dendroidal space (preprint)
arxiv:1707.05027 [math.AT]

On factorizations of graphical maps (preprint)
with Marcy Robertson and Donald Yau
arxiv:1705.08546 [math.AT]

Higher cyclic operads (preprint)
with Marcy Robertson and Donald Yau
arxiv:1611.02591 [math.AT]

Lectures on infinity-properads
with Marcy Robertson
arxiv:1610.00486 [math.AT]
This will not be peer-reviewed.

A simplicial model for infinity properads (preprint)
with Marcy Robertson and Donald Yau
arxiv:1502.06522 [math.AT]

Published

The homotopy theory of simplicial props
with Marcy Robertson
(in Israel Journal of Mathematics)
arxiv:1209.1087 [math.AT]

Diagrams encoding group actions on Γ-spaces
with Julie Bergner
(in Manifolds and K-theory, Contemporary Mathematics 682)
arxiv:1212.4542 [math.AT]

Shrinkability, relative left properness, and derived base change
with Marcy Robertson and Donald Yau
(in New York Journal of Mathematics)
arxiv:1510.01341 [math.AT]

Relative left properness of colored operads
with Marcy Robertson and Donald Yau
(in Algebraic and Geometric Topology)
arxiv:1411.4668 [math.AT]

Reedy categories which encode the notion of category actions
with Julie Bergner
(in Fundamenta Mathematicae)
arxiv:1207.3467 [math.AT]

Group actions on Segal operads
with Julie Bergner
(in Israel Journal of Mathematics)
arxiv:1207.3465 [math.AT]

On the category of props
with Marcy Robertson
(in Applied Categorical Structures)
arxiv:1207.2773 [math.CT]

Operations & spectral sequences

Homology operations and cosimplicial iterated loop spaces
(in Homology, Homotopy and Applications)
arxiv:1102.0020 [math.AT]

Spectral sequence operations converge to Araki-Kudo operations
(in Journal of Pure and Applied Algebra)
arxiv:1101.5395 [math.AT]

Operations in the homology spectral sequence of a cosimplicial infinite loop space
(in Journal of Pure and Applied Algebra)
arXiv:1101.3798 [math.AT]

phd thesis Homology operations in the spectral sequence of a cosimplicial space

Ranks of graphs

On the minimum semi-definite rank of a simple graph
with Matthew Booth, Benjamin Harris, Charles R. Johnson, Margaret Lay, Terry D. Lenker, Lon H. Mitchell, Sivaram K. Narayan, Amanda Pascoe, and Brian D. Sutton
(in Linear and Multilinear Algebra)

Linearly independent vertices and minimum semidefinite rank
with Benjamin Harris, Margaret Lay, Lon H. Mitchell, Sivaram K. Narayan, and Amanda Pascoe
(in Linear Algebra and its Applications)

On the minimum rank among positive semidefinite matrices with a given graph
with Matthew Booth, Benjamin Harris, Charles R. Johnson, Margaret Lay, Lon H. Mitchell, Sivaram K. Narayan, Amanda Pascoe, Kelly Steinmetz, Brian D. Sutton, and Wendy Wang
(in SIAM Journal on Matrix Analysis and Applications)

Knots

k-alternating knots
with Leonard Van Wyk and Nathan Walters
(in Topology and its Applications)