Gabriel C. Drummond-Cole
ACADEMIC PAGE
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.
Publications:
| 2022 | Asymptotic homology of graph braid groups. With B. H. An and B. Knudsen. Geom. Topol. 26 (4), 1745–1771. |
| An action of the Polishchuk differential operator via punctured surfaces. With M. Tavakol. Int. Math. Res. Not. IMRN 2022 (2), 959–998. | |
| 2021 | Coextension of scalars in operad theory. With P. Hackney. Math. Z. Online First, 40 pages. |
| Dwyer–Kan homotopy theory for cyclic operads. With P. Hackney. Proc. Edinb. Math. Soc. (2) 64 (1), 29–58. | |
| Homotopy transfer and formality. With G. Horel. Ann. Inst. Fourier (Grenoble) Online First, 20 pages. | |
| 2020 | Endomorphisms are adjoint to representations. With J. Hirsh and D. Lejay. J. Homotopy Relat. Struct. 15, 377–393. |
| Edge stabilization in the homology of graph braid groups. With B. H. An and B. Knudsen. Geom. Topol. 24 (1), 421–469. | |
| 2019 | 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. |
Preprints:
| 2020 | Homotopy theory of curved operads and curved algebras. With J. Bellier-Millès. ArXiv:2007.03004. Accepted, Mem. Amer. Math. Soc., 89 pages. |
| 2019 | Endomorphism operads of functors. With J. Hirsh and D. Lejay. ArXiv:1906.09006, 20 pages. |
| Betti numbers of unordered configuration spaces of small graphs. ArXiv:1906.00692, 728 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.