main research focuses on the study of differential
and difference equations using algebra, geometry and
model theory. So far I have contributed to
furthering our understanding of the Painlevé
equations, the logarithmic equations and
equations for the covering maps (e.g. the j-function).
equations appear in many physical
applications including for example
statistical mechanics, random matrix
theory, general relativity and fibre
optics. The other equations are at the
heart of important problems in number
theory and functional transcendence
My recent work is supported by the National Science
Some of the work below (at BCC) was also supported
by a PSC-CUNY Research Award (Traditional A).