Teaching
Office hours: Tue, Thu 12:15-1:15.Courses, Fall 2009:
Math 2130, Honors Multivariable Calculus
Math 3160, Probability
Biography
I was born in England and grew up in the small town of
Billericay, in Essex, where I went to school. During the years
1998-2002 I was an
undergraduate student at the
University of Bristol in England, where I also completed my
postgraduate degree under the supervision of Andrey Lazarev during
2002-2005. After spending time at the IHES in Paris and completing a
year long postdoc at the Max-Planck-Institut fur Mathematik in Bonn, I
moved here, to the University of Connecticut, in August 2007.Research
My current research interests involve connections between noncommutative geometry, quantum field theory and the study of moduli spaces of Riemann surfaces. All my papers are available from the arXiv.Papers
- Cohomology
theories for homotopy algebras
and
noncommutative geometry (with A. Lazarev). Algebr. Geom. Topol. 9
(2009), 1503--1583.
- Classes on compactifications of the moduli space of curves through solutions to the quantum master equation. To appear in Letters in Mathematical Physics. arXiv:0807.2270
- Noncommutative geometry and
compactifications of the moduli space
of curves. To appear in Journal of Noncommutative Geometry. arXiv:0710.4603
- Graph cohomology classes in the Batalin-Vilkovisky formalism (with A. Lazarev). J. Geom. Phys. 59 (2009), no. 5, 555--575.
- Characteristic classes of A-infinity algebras (with A. Lazarev). J. Homotopy Relat. Struct. 3 (2008), no. 1, 65--111.
- Symplectic C-infinity algebras (with A. Lazarev). Mosc. Math. J. 8 (2008), no. 3, 443--475, 615.
- Symplectic A-infinity algebras and string topology operations (with A. Lazarev). Amer. Math. Soc. Transl. (2), Vol. 224, 2008, 147--157.
- A super-analogue of Kontsevich's theorem on graph homology. Lett. Math. Phys. 76 (2006), no. 1, 37--55.
- On the classification of Moore algebras and their deformations. Homology, Homotopy Appl. 6 (2004), no. 1, 87--107.
- Homotopy algebras and noncommutative geometry (with A. Lazarev). math.QA/0410621