Research
My work is in topology, deformation theory, and quantum physics.
Most recent papers:
- Cones on homotopy probability spaces with G.-C. Drummond-Cole. 2014
- Homotopy probability theory II with G.-C. Drummond-Cole and J.-S. Park. J. Homotopy Relat. Struct. April 2014. DOI: 10.1007/s40062-014-0078-3
- Homotopy probability theory I with G.-C. Drummond-Cole and J.-S. Park. J. Homotopy Relat. Struct. November 2013. DOI: 10.1007/s40062-013-0067-y
- Homotopy DG algebras induce homotopy BV algebras with Thomas Tradler and Scott Wilson, J. Homotopy and Relat. Struc., 2011, Vol. 6, No. 1, pp. 177-182
- Quantizing Deformation Theory in Deformation Spaces, Vieweg Teubner Verlag, 2010
- Algebras over Cobar CoFrobenius with Gabriel Drummond-Cole and Thomas Tradler, J. Homotopy and Relat. Struc., 2010, Vol 5, No. 1, pp. 15-36
Teaching
In Fall 2015, I am teaching two classes at Queens College:
- Calculus II (Math 142). The course is scheduled to meet in Kiely 434 on Tuesdays and Thursdays. Section 03 meets 10:45--12:00 and Section 04 meets 12:15--1:30.
- Linear Algebra (Math 231). This course is scheduled to meet TuTh 2:15--4:05 in Kiely 434.
Students
- Gabriel Drummond-Cole PhD May, 2010. Thesis: Homotopy Batalin-Vilkovisky algebras, trivializing circle actions, and moduli space. NSF Postdoc at Northwestern. Now a fellow at the IBS Center for Geometry and Physics.
- Joseph Hirsh PhD May 2013. Thesis: Derived Deformation Theory. Now an NSF Postdoc at MIT.