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- Peter_Montgomery_(mathematician) abstract "Peter Lawrence Montgomery (born 25 September 1947) is an American mathematician who has published widely in the more mathematical end of the field of cryptography. He is currently a researcher in the cryptography group at Microsoft Research.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 also invented the block Lanczos algorithm for finding nullspace of a matrix over a finite field, which is very widely used for the quadratic sieve and number field sieve methods of factorization; he has been involved in the computations which set a number of integer factorization records.He was a Putnam Fellow in 1967. In that year, he was one of only two contestants, along with child prodigy Don Zagier of MIT, to solve all twelve of the exam problems.Montgomery's work during the early 1980s, in which he developed algorithms to break the Data Encryption Standard (DES) using the then-new IBM Personal Computer, led to the US government adopting the Advanced Encryption Standard (AES).An incomplete list of his papers is available at the DBLP bibliography server.".
- Peter_Montgomery_(mathematician) alias "Montgomery, Peter Lawrence".
- Peter_Montgomery_(mathematician) birthDate "1947-09-25".
- Peter_Montgomery_(mathematician) birthYear "1947".
- Peter_Montgomery_(mathematician) thumbnail Peter_Montgomery.jpg?width=300.
- Peter_Montgomery_(mathematician) wikiPageExternalLink Montgomery:Peter_L=.html.
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- Peter_Montgomery_(mathematician) wikiPageWikiLink Algebraic-group_factorisation_algorithm.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Block_Lanczos_algorithm.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:1947_births.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:20th-century_American_mathematicians.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:21st-century_American_mathematicians.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:American_cryptographers.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:Living_people.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:Microsoft_employees.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:Number_theorists.
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- Peter_Montgomery_(mathematician) wikiPageWikiLink Category:University_of_California,_Los_Angeles_alumni.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Cryptography.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Doctor_of_Philosophy.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Don_Zagier.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Fast_Fourier_transform.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Finite_field.
- Peter_Montgomery_(mathematician) wikiPageWikiLink General_number_field_sieve.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Integer_factorization_records.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Kernel_(linear_algebra).
- Peter_Montgomery_(mathematician) wikiPageWikiLink Lenstra_elliptic_curve_factorization.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Mathematician.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Microsoft_Research.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Montgomery_curve.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Montgomery_modular_multiplication.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Quadratic_sieve.
- Peter_Montgomery_(mathematician) wikiPageWikiLink Thesis.
- Peter_Montgomery_(mathematician) wikiPageWikiLink University_of_California,_Los_Angeles.
- Peter_Montgomery_(mathematician) wikiPageWikiLink William_Lowell_Putnam_Mathematical_Competition.
- Peter_Montgomery_(mathematician) wikiPageWikiLink File:Peter_Montgomery.jpg.
- Peter_Montgomery_(mathematician) wikiPageWikiLinkText "Montgomery's".
- Peter_Montgomery_(mathematician) wikiPageWikiLinkText "Montgomery, Peter".
- Peter_Montgomery_(mathematician) wikiPageWikiLinkText "Peter L. Montgomery".
- Peter_Montgomery_(mathematician) wikiPageWikiLinkText "Peter Montgomery (mathematician)".
- Peter_Montgomery_(mathematician) wikiPageWikiLinkText "Peter Montgomery".
- Peter_Montgomery_(mathematician) alternativeNames "Montgomery, Peter Lawrence".
- Peter_Montgomery_(mathematician) dateOfBirth "1947-09-25".
- Peter_Montgomery_(mathematician) name "Montgomery, Peter".
- Peter_Montgomery_(mathematician) placeOfBirth "San Francisco".
- Peter_Montgomery_(mathematician) shortDescription "American cryptographer".
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- Peter_Montgomery_(mathematician) description "American cryptographer".
- Peter_Montgomery_(mathematician) description "American cryptographer".
- Peter_Montgomery_(mathematician) subject Category:1947_births.
- Peter_Montgomery_(mathematician) subject Category:20th-century_American_mathematicians.
- Peter_Montgomery_(mathematician) subject Category:21st-century_American_mathematicians.
- Peter_Montgomery_(mathematician) subject Category:American_cryptographers.
- Peter_Montgomery_(mathematician) subject Category:Living_people.
- Peter_Montgomery_(mathematician) subject Category:Microsoft_employees.
- Peter_Montgomery_(mathematician) subject Category:Number_theorists.
- Peter_Montgomery_(mathematician) subject Category:Putnam_Fellows.
- Peter_Montgomery_(mathematician) subject Category:University_of_California,_Los_Angeles_alumni.
- Peter_Montgomery_(mathematician) hypernym Mathematician.
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- Peter_Montgomery_(mathematician) type Mathematician.
- Peter_Montgomery_(mathematician) type Scholar.
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- Peter_Montgomery_(mathematician) comment "Peter Lawrence Montgomery (born 25 September 1947) is an American mathematician who has published widely in the more mathematical end of the field of cryptography.".
- Peter_Montgomery_(mathematician) label "Peter Montgomery (mathematician)".
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- Peter_Montgomery_(mathematician) wasDerivedFrom Peter_Montgomery_(mathematician)?oldid=698053205.
- Peter_Montgomery_(mathematician) depiction Peter_Montgomery.jpg.
- Peter_Montgomery_(mathematician) givenName "Peter".
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- Peter_Montgomery_(mathematician) name "Montgomery, Peter".
- Peter_Montgomery_(mathematician) name "Peter Montgomery".
- Peter_Montgomery_(mathematician) surname "Montgomery".