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, 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 and Rovelli, Martina,
  Induced model structures for higher categories,
  Proc. Amer. Math. Soc., 150, (2022), 11, 4629-4644.
  

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• Drummond-Cole, Gabriel C. and Hackney, Philip,
  Dwyer-Kan homotopy theory for cyclic operads,
  Proc. Edinb. Math. Soc., 64 (2021), no. 1, 29–58.
  

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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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• Drummond-Cole, Gabriel C. and Hackney, Philip,
  A criterion for existence of right-induced model structures,
  Bull. Lond. Math. Soc., 51 (2019) no. 2,309--326.
  

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• Hackney, Philip and Robertson, Marcy and Yau, Donald,
  Higher cyclic operads,
  Algebr. Geom. Topol., 19 (2019) no. 2,863--940.
  

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• Hackney, Philip and Robertson, Marcy and Yau, Donald,
  Infinity Properads and Infinity Wheeled Properads,
  Lecture Notes in Mathematics, 2147 (2015).
  

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