Philip Hackney
Associate Professor
Devon Endowed Professor of Mathematics
Topology
442 Maxim Doucet Hall
337 - 482 - 5295
philip.hackney@louisiana.edu
Ph.D. 2010 Purdue University
M.S. 2006 Purdue University
B.S. 2004 Central Michigan University
My research interests are mainly within the areas of algebraic topology and higher category theory. I employ the tools of abstract homotopy theory to study various kinds of higher structures, including operads and their generalizations.
Just prior to joining the faculty at UL Lafayette, I was a research fellow at the Centre of Australian Category Theory in Sydney.
Selected research publications:
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Hackney, Philip and Lynd, Justin,
Partial groups as symmetric simplicial sets,
J. Pure Appl. Algebra, 229 (2) (2025), Paper No. 107864. -
Hackney, Philip
Categories of graphs for operadic structures
Math. Proc. Cambridge Philos. Soc., 176 (2024) 1, 155-212. -
Hackney, Philip
Segal conditions for generalized operads,
in Higher structures in topology, geometry, and physics, Contemp. Math. 802, Amer. Math. Soc., (2024), 161-194. -
Beardsley, Jonathan and Hackney, Philip,
Labelled cospan categories and properads,
J. Pure Appl. Algebra, 228 (2024), paper 107471. -
Hackney, Philip and Ozornova, Viktoriya and Riehl, Emily and Rovelli, Martina,
Pushouts of Dwyer maps are (∞,1)-categorical,
Algebr. Geom. Topol., 24 4, (2024), 2171-2183. -
Hackney, Philip, Ozornova, Viktoriya, Riehl, Emily, and Rovelli, Martina,
An (∞,2)-categorical pasting theorem,
Trans. Amer. Math. Soc., 376 (2023), 1, 555–597. -
Drummond-Cole, Gabriel C. and Hackney, Philip,
Coextension of scalars in operad theory,
Math. Z., 301, (2022) 1, 275-314. -
Chu, Hongyi and Hackney, Philip,
On rectification and enrichment of infinity properads,
J. Lond. Math. Soc. (2), 105, (2022) 3, 1418-1517. -
Hackney, Philip, Robertson, Marcy and Yau, Donald,
Modular operads and the nerve theorem,
Adv. Math., 370 (2020), 107206, 39 -
Hackney, Philip, Robertson, Marcy and Yau, Donald,
A graphical category for higher modular operads,
Adv. Math., 365 (2020), 107044, 61