Philip Hackney

Associate Professor
Devon Endowed Professor of Mathematics
Topology

442 Maxim Doucet Hall
337 - 482 - 5295
philip.hackney@louisiana.edu

Philip Hackney's webpage

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:

• Hackney, Philip and Lynd, Justin,
  Partial groups as symmetric simplicial sets,
  J. Pure Appl. Algebra, 229 (2) (2025), Paper No. 107864.
  

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• Hackney, Philip
  Categories of graphs for operadic structures
  Math. Proc. Cambridge Philos. Soc., 176 (2024) 1, 155-212.
  

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• Hackney, Philip
  Segal conditions for generalized operads,
  in Higher structures in topology, geometry, and physics, Contemp. Math. 802, Amer. Math. Soc., (2024), 161-194.
  

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• Beardsley, Jonathan and Hackney, Philip,
  Labelled cospan categories and properads,
  J. Pure Appl. Algebra, 228 (2024), paper 107471.
  

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• 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.
  

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• Hackney, Philip, Ozornova, Viktoriya, Riehl, Emily, and Rovelli, Martina,
  An (∞,2)-categorical pasting theorem,
  Trans. Amer. Math. Soc., 376 (2023), 1, 555–597.
  

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• Drummond-Cole, Gabriel C. and Hackney, Philip,
  Coextension of scalars in operad theory,
  Math. Z., 301, (2022) 1, 275-314.
  

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• Chu, Hongyi and Hackney, Philip,
  On rectification and enrichment of infinity properads,
  J. Lond. Math. Soc. (2), 105, (2022) 3, 1418-1517.
  

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• Hackney, Philip, Robertson, Marcy and Yau, Donald,
  Modular operads and the nerve theorem,
  Adv. Math., 370 (2020), 107206, 39
  

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• Hackney, Philip, Robertson, Marcy and Yau, Donald,
  A graphical category for higher modular operads,
  Adv. Math., 365 (2020), 107044, 61
  

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