Gabriel C. Drummond-Cole


I received my PhD in 2010 under the supervision of John Terilla at the Graduate Center of the City University of New York (alternate site).
From 2010 to 2013 I worked as an NSF postdoc at Northwestern University.
From 2013 to 2019 I worked as a research fellow at the IBS Center for Geometry and Physics in Pohang, South Korea.

Previous organizational work

2020 Edge stabilization in the homology of graph braid groups. With B. H. An and B. Knudsen. Geom. Topol. 24 (1), 421–469.
2019 Endomorphisms are adjoint to representations. With J. Hirsh and D. Lejay. J. Homotopy Relat. Struct. Online First, 17 pages.
A criterion for existence of right-induced model structures. With P. Hackney. Bull. London Math. Soc. 51, 309–326.
Subdivisional spaces and graph braid groups. With B. H. An and B. Knudsen. Doc. Math. 24, 1513–1583.
2018 An operadic approach to operator-valued free cumulants. Higher Structures 2, 42–56.
A non-crossing word cooperad for free homotopy probability theory. MATRIX Book Series 1, 77–99.
2017 Betti numbers of configuration spaces of surfaces. With B. Knudsen. J. London Math. Soc. 96 (2), 367–393.
Homotopy probability theory on a Riemannian manifold and the Euler equation. With J. Terilla. New York J. Math. 23, 1065–1085.
2016 Model structures for coalgebras. With J. Hirsh. Proc. Amer. Math. Soc 144, 1467–1481.
2015 Homotopy probability theory I. With J.-S. Park and J. Terilla. J. Homotopy Relat. Struct. 10 (3), 425–435.
Homotopy probability theory II. With J.-S. Park and J. Terilla. J. Homotopy Relat. Struct. 10 (3), 623–635.
2014 An update on domineering on rectangular boards. Integers 14, 13 pages.
Formal formality of the hypercommutative algebras of low dimensional Calabi-Yau varieties. Comm. Math. Phys. 327, 433–441.
Homotopically trivializing the circle in the framed little disks. J. Topol. 7, 641–676.
2013 The minimal model for the Batalin–Vilkovisky operad. With B. Vallette. Selecta Math. (N.S.) 19 (1), 1–47.
2010 Algebras over Ω(coFrob). With J. Terilla and T. Tradler. J. Homotopy Relat. Struct. 5, 15–36.
2009 Intrinsically n-linked complete graphs. With D. O'Donnol. Tokyo J. Math. 32, 113–125.
2005 Positions of value *2 in generalized domineering and chess. Integers 5 (1), 13 pages.

2019 An action of the Polishchuk differential operator via punctured surfaces. With M. Tavakol. Accepted, Int. Math. Res. Not. IMRN, 37 pages.
Endomorphism operads of functors. With J. Hirsh and D. Lejay. ArXiv:1906.09006, 20 pages.
Coextension of scalars in operad theory. With P. Hackney. ArXiv:1906.12275, 39 pages.
Betti numbers of unordered configuration spaces of small graphs. ArXiv:1906.00692, 728 pages.
Homotopy transfer and formality. With G. Horel. ArXiv:1906.03475, 20 pages.
2018 Dwyer–Kan homotopy theory for cyclic operads. With P. Hackney. ArXiv:1809.06322, 25 pages.
2015 Chain level string topology operations. With K. Poirier and N. Rounds. ArXiv:1506.02596, 67 pages.
2014 Cones in homotopy probability theory. With J. Terilla. ArXiv:1410.5506, 8 pages.
2004 Temperature two in domineering. Unpublished note, 2 pages.

ArXiv versions of most of these papers and preprints are available.



This is an atlas of Betti numbers of unordered configuration spaces of small graphs.

I compile and maintain notes in LaTeX of many conferences, seminars, workshops, and courses.

Here are notes for some talks I've given.