Teaching
Office hours: Tu, Th 12:30-1:30.
Courses,
Fall 2007:
Math 211, Differential Equations
Math 216, Abstract Algebra
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
- Noncommutative geometry and compactifications of the moduli space
of curves. arXiv:0710.4603
- Graph cohomology classes in the Batalin-Vilkovisky formalism. math.QA/0701825
- Characteristic classes of A-infinity
algebras. To appear in JHRS.
- Homotopy algebras and noncommutative
geometry. math.QA/0410621
- Cohomology theories for homotopy algebras
and
noncommutative geometry. arXiv:0707.3937
- Symplectic C-infinity algebras. MMJ, v.8,
N.3, 2008.
- Symplectic A-infinity algebras and string
topology
operations. arXiv:0707.4003.
- 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.