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In the realm of practical programming, my work has two main
foci. The first, a part of the Alpha Project at MSI,
is simulation of cellular chemistry. This work has focused
particularly on managing large (>5000) reaction systems
that involve many species of complexes of proteins with modifications,
such as phosphorylation, that form the “currency” of
intracellular information transmission systems, such as the
alpha pathway. The second line of practical programming
work is the computational statistics of gene expression and
of complex systems of intracellular reactions by means of Bayesian
networks, in particular the causal analysis of these systems
using the statistical theory of causality developed recently
by Pearl, Heckerman, and others. My more purely mathematical
interests currently lie at the intersection between differential
geometry and statistics, particularly treatment of information
geometry (aka statistical manifolds, primarily due to S. Amari)
using the theory of moving frames.
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