Moore did his undergraduate studies at Northwestern University. He earned his Ph.D. in 1991 from Cornell University under the supervision of Philip Holmes. After postdoctoral studies at the Santa Fe Institute, he joined the institute as a research faculty member in 1998, and moved to the University of New Mexico in 2000. In 2007 he became a research professor at the Santa Fe Institute again, while retaining his University of New Mexico affiliation, and in 2008 he was promoted to full professor at UNM. His primary appointment was in the Department of Computer Science, with a joint appointment in the UNM Department of Physics and Astronomy. In 2012, Moore left the University of New Mexico and became full-time resident faculty at the Santa Fe Institute. Moore has also served on the Santa Fe, New Mexicocity council from 1994 to 2002, affiliated with the Green Party of New Mexico.
Research
In 1993, Moore found a novel solution to the three-body problem, showing that it is possible in Newtonian mechanics for three equal-mass bodies to follow each other around a shared orbit along a figure-eight shaped curve. Moore's results were found through numerical computations, and they were made mathematically rigorous in 2000 by Alain Chenciner and Richard Montgomery and shown computationally to be stable by Carlès Simo. Later researchers showed that similar solutions to the three-body problem are also possible under general relativity, Einstein's more accurate description of the effects of gravitation on moving bodies. After his original work on the problem, Moore collaborated with Michael Nauenberg to find many complex orbits for systems of more than three bodies, including one system in which twelve bodies trace out the four equatorial cycles of a cuboctahedron. In 2001, Moore and J. M. Robson showed that the problem of tiling one polyomino with copies of another is NP-complete. Moore has also been active in the field of network science, with many notable publications in the field. In work with Aaron Clauset, David Kempe, and Dimitris Achlioptas, Moore showed that the appearance of power laws in the degree distribution of networks can be illusory: network models such as the Erdős–Rényi model, whose degree distribution does not obey a power law, may nevertheless appear to exhibit one when measured using traceroute-like tools. In work with Clauset and Mark Newman, Moore developed a probabilistic model of hierarchical clustering for complex networks, and showed that their model predicts clustering robustly in the face of changes to the link structure of the network. Other topics in Moore's research include modeling undecidable problems by physical systems, phase transitions in random instances of the Boolean satisfiability problem, the unlikelihood of success in the search for extraterrestrial intelligence due to the indistinguishability of advanced signaling technologies from random noise, the inability of certain types of quantum algorithm to solve graph isomorphism, and attack-resistant quantum cryptography.
