Montgomery is particularly known for his contributions to the elliptic curve method of factorization, which include a method for speeding up the second stage of algebraic-group factorization algorithms using FFT techniques for fast polynomial evaluation at equally-spaced points. This was the subject of his dissertation, for which he received his Ph.D. in 1992 from the University of California, Los Angeles. He has an Erdős number of 1 and was a Putnam Fellow in 1967. An incomplete list of his papers is available at the DBLP bibliography server.
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