Gabriel C. Drummond-Cole


I am a tenure-track research fellow at the IBS Center for Geometry and Physics in Pohang, South Korea.

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) and spent three years as an NSF postdoc at Northwestern University.

My research interests include operadic and homotopy algebra, quantum field theory, and the moduli space of Riemann surfaces.

Previous organizational work

Upcoming and recent travel plans:
2018 November 5–9 Hefei, Anhui
July 16–20 New York, New York
July 9–13 Toulouse, Occitanie
July 2–6 Cambridge, England
June 25–29 Stockholm, Uppland
June 18–22 Skye, Scotland
May 4–8 Chengdu, Sichuan
January 24–30 Cambridge, Massachusetts
January 22–23 Irvine, California

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. DOI:10.1112/jlms.12066.
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.

2018 Dwyer–Kan homotopy theory for cyclic operads. With P. Hackney. ArXiv:1809.06322, 25 pages.
Edge stabilization in the homology of graph braid groups. With B. H. An and B. Knudsen. ArXiv:1806.05585, 31 pages.
2017 A criterion for existence of right-induced model structures. With P. Hackney. ArXiv:1712.07787, 19 pages.
Subdivisional spaces and graph braid groups. With B. H. An and B. Knudsen. ArXiv:1708.02351, 63 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.

I can be contacted at or gabriel_c_drummond_cole_at_gmail.


Research Statement (not necessarily current)

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

Here are notes for some talks I've given.