Moore's research has focused on:
D-branes on
Calabi–Yau manifolds and BPS state counting; relations to
Borcherds products,
automorphic forms, black-hole entropy, and
wall-crossing; applications of the theory of automorphic forms to
conformal field theory, string compactification, black hole entropy counting, and the
AdS/CFT correspondence; potential relation between string theory and
number theory; effective low energy
supergravity theories in string compactification and the computation of nonperturbative stringy effects in effective supergravities; topological field theories, and applications to invariants of manifolds;
string cosmology and
string field theory. Moore was a member of the advisory board for
Springer's Encyclopedia of Mathematical Physics. In 2008, he as well as
Davide Gaiotto and
Andrew Neitzke gave an alternative construction of the
Ooguri–Vafa metric, which was first constructed with the
Gibbons–Hawking ansatz. ==Awards==