Samuel S. Wagstaff Jr. Explained
Samuel Standfield Wagstaff Jr. (born 21 February 1945) is an American mathematician and computer scientist, whose research interests are in the areas of cryptography, parallel computation, and analysis of algorithms, especially number theoretic algorithms. He is currently a professor of computer science and mathematics at Purdue University[1] who coordinates the Cunningham project, a project to factor numbers of the form bn ± 1, since 1983. He has authored/coauthored over 50 research papers and four books.[2] He has an Erdős number of 1.[3]
Wagstaff received his Bachelor of Science in 1966 from Massachusetts Institute of Technology. His doctoral dissertation was titled, On Infinite Matroids, PhD in 1970 from Cornell University.
Wagstaff was one of the founding faculty of Center for Education and Research in Information Assurance and Security (CERIAS) at Purdue, and its precursor, the Computer Operations, Audit, and Security Technology (COAST) Laboratory.
Selected publications
- with John Brillhart, D. H. Lehmer, John L. Selfridge, Bryant Tuckerman: Factorization of bn ± 1, b = 2,3,5,6,7,10,11,12 up to high powers, American Mathematical Society, 1983, 3rd edition 2002 as electronic book, Online text
- Book: Samuel S. Wagstaff Jr. . Mikhail J. Atallah . Cryptanalysis of Number Theoretic Ciphers . Computational Mathematics Series . CRC Press . 2002 . 1-58488-153-4.
- Book: Carlos J. Moreno . Carlos J. Moreno . Samuel S. Wagstaff, Jr. . Sums of Squares of Integers . CRC Press . 2005 . 1-58488-456-8.
- Book: Samuel S. Wagstaff Jr. . The Joy of Factoring . Student Mathematical Library . . 2013 . 1-4704-1048-6.
- Wagstaff The Cunningham Project, Fields Institute, pdf file
- Carl Pomerance . Carl Pomerance . John L. Selfridge . John L. Selfridge . Samuel S. Wagstaff, Jr. . [//math.dartmouth.edu/~carlp/PDF/paper25.pdf The pseudoprimes to 25·10<sup>9</sup> ]. Mathematics of Computation . July 1980 . 35 . 151 . 1003–1026 . 2006210 . 10.1090/S0025-5718-1980-0572872-7 . free .
- Robert Baillie . Samuel S. Wagstaff, Jr. . Lucas Pseudoprimes . Mathematics of Computation . October 1980 . 35 . 152 . 1391–1417 . 583518 . 2006406 . 10.1090/S0025-5718-1980-0583518-6 . free .
- Robert Baillie . Andrew Fiori . Samuel S. Wagstaff, Jr. . Strengthening the Baillie-PSW Primality Test . Mathematics of Computation . July 2021 . 90 . 330 . 1931–1955 . 10.1090/mcom/3616 . 2006.14425 . 220055722 .
External links
Notes and References
- Web site: Purdue University - Department of Computer Science - Samuel S. Wagstaff. www.cs.purdue.edu.
- Web site: Selected Publications of Sam Wagstaff. homes.cerias.purdue.edu.
- The Fractional Parts of the Bernoulli Numbers . Paul Erdős . Paul Erdős . Samuel S. Wagstaff Jr. . . 24 . 1 . 104-112 . Spring 1980 . 10.1215/ijm/1256047799 . free .