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
|2019||A criterion for existence of right-induced model structures. With P. Hackney. Bull. London Math. Soc. 51, 309-326.|
|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. ArXiv:1904.07520, 37 pages.|
|Endomorphisms of functors ⊢ representations. With J. Hirsh and D. Lejay. ArXiv:1904.06987, 15 pages.|
|Betti numbers of unordered configuration spaces of small graphs. ArXiv:1906.00692, 23 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.|
|Edge stabilization in the homology of graph braid groups. With B. H. An and B. Knudsen. Accepted, Geom. Topol., 31 pages.|
|2017||Subdivisional spaces and graph braid groups. With B. H. An and B. Knudsen. Accepted, Doc. Math., 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.
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.