Proposal Number: 0401124
Panel Summary: The
Panel commended the proposer for his pioneering work on using computers
in mathematics. Several Panel members stated how valuable they have
found his WZ code and other downloadable software for producing
surprising formulas and proofs of stated formulas (but some also
expressed disappointment when it failed to work). His approach of using
the computer by "teaching" it to attack central problems has been
extremely productive. The Panel was not sure how his proposed plan was
going to be carried out, but trusted that it will indeed be successful,
based on the proposer's excellent track record.
Panelists described the Quantum Master Theorem as beautiful. There
were some reservations expressed about the inventiveness and
originality of the actual mathematics in the proposal. Some members
felt the mathematical ideas in the proposal are not really exceptional,
in comparison to the strongest proposals under review. The proposer
should have explained how he intends to deal with some of the suggested
problems, especially in the noncommutative case.
The broader impact of this proposal is judged to be as strong as
that of any proposal under review by the Panel. This is based both on
the usefulness of the software he makes available and on his work
supervising many students.
This is a convincing proposal that the Panel strongly supported for funding. It rated among the top 15% under review.
