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  1. P. Boavida de Brito, G. Horel, and M. Robertson, Operads of genus zero curves and the Grothendieck-Teichmüller group. To Appear in Geometry & Topology. arXiv version.
  2. P. Hackney, M. Robertson and D. Yau, ​Higher Cyclic Operads. To appear in Algebraic & Geometric Topology. arXiv version. 
  3. P. Hackney, M. Robertson and D. Yau, On factorizations of graphical maps. Homology, Homotopy and Applications, vol. 20 (2 ), 2018, pp.217- 238.  arXiv version. 
  4. P. Hackney, M. Robertson and D. Yau, Lecture Notes on Infinity Properads.  2016 MATRIX Annals, Vol 1, Springer, 2018. ISBN 978-3-319-72299-3; 978-3-319-72298-6. arXiv version. 
  5. P. Hackney, M. Robertson and D. Yau, Shrinkability, Relative Left Properness, and Derived Base Change.  New York Journal of Math, Volume 23 (2017) 83-117.  arXiv version. 
  6. P. Hackney, M. Robertson and D. Yau, A Simplicial Model for Infinity Properads. Higher Structures, vol 1, no 1, 1-21 (2017). arXiv version. 
  7. P. Hackney, M. Robertson and D. Yau, Relative Left Properness of Colored Operads.  Algebraic & Geometric Topology 16-5 (2016), 2691--2714. DOI 10.2140/agt.2016.16.2691. arXiv version.
  8. C. I. Aponte Roman, M. Livernet, M. Robertson, S. Whitehouse and S. Ziegenhagen, Representations of Derived A-infinity Algebras.  Contemporary Mathematics 2015; 166 pp; Volume: 641. arXiv version. 
  9. J. Bergner and M. Robertson, Cluster Categories for Topologists.  Contemporary Mathematics 2015, Volume 643; ISBNs: 978-1-4704-1557-0 (print); 978-1-4704-2568-5 (online); DOI: http://dx.doi.org/10.1090/conm/643. arXiv version.
  10. P. Hackney and M. Robertson, The Homotopy Theory of Simplicial Props.  Israel Journal of Mathematics, April 2017, Volume 219, Issue 2, pp 835–902. arXiv version, journal version.
  11. P. Hackney and M. Robertson, On the Category of Props. Applied Categorical Structures: DOI 10.1007/s10485-014-9369-4. arXiv version.   
  12. M. Robertson, The Homotopy Theory of Simplicially Enriched Multicategories.  arXiv version.  Part of my Ph.D thesis. This result was independently obtained by Ieke Moerdijk and Denis-Charles Cisinski in their paper http://arxiv.org/abs/1109.1004. 
  13. M. Robertson, Spaces of Operad Structures.  arXiv version. (Replacement in progress)