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Samuel S. Wagstaff, Jr.
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 who coordinates the Cunningham project, a project to factor numbers of the form ''b''''n'' ± 1, since 1983. He has authored/coauthored over 50 research papers and three books. He has an Erdős number of 1.List of people by Erdős number 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 (C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Bedford, Massachusetts
New Bedford (Massachusett language, Massachusett: ) is a city in Bristol County, Massachusetts, Bristol County, Massachusetts. It is located on the Acushnet River in what is known as the South Coast (Massachusetts), South Coast region. Up through the 17th century, the area was the territory of the Wampanoag Native American people. English colonists bought the land on which New Bedford would later be built from the Wampanoag in 1652, and the original colonial settlement that would later become the city was founded by English Quakers in the late 17th century. The town of New Bedford itself was officially incorporated in 1787. During the first half of the 19th century, New Bedford was one of the world's most important whaling ports. At its economic height during this period, New Bedford was the wealthiest city in the world per capita. New Bedford was also a Abolitionism in New Bedford, Massachusetts, center of abolitionism at this time. The city attracted many freed or escaped Afric ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integer Factorization
In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization. When the numbers are sufficiently large, no efficient non-quantum integer factorization algorithm is known. However, it has not been proven that such an algorithm does not exist. The presumed difficulty of this problem is important for the algorithms used in cryptography such as RSA public-key encryption and the RSA digital signature. Many areas of mathematics and computer science have been brought to bear on the problem, including elliptic curves, algebraic number theory, and quantum computing. In 2019, Fabrice Boudot, Pierrick Gaudry, Aurore Guillevic, Nadia Heninger, Emmanuel Thomé and Paul Zimmermann factored a 240-digit (795-bit) number (RSA-240) utilizing approximately 900 core-years of computing power. The researchers estimated that a 1024-bit RSA ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theorists
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carlos J
Carlos may refer to: Places ;Canada * Carlos, Alberta, a locality ;United States * Carlos, Indiana, an unincorporated community * Carlos, Maryland, a place in Allegany County * Carlos, Minnesota, a small city * Carlos, West Virginia ;Elsewhere * Carlos (crater), Montes Apenninus, LQ12, Moon; a lunar crater near Mons Hadley People * Carlos (given name), including a list of name holders * Carlos (surname), including a list of name holders Sportspeople * Carlos (Timorese footballer) (born 1986) * Carlos (footballer, born 1995), Brazilian footballer * Carlos (footballer, born 1985), Brazilian footballer Others * Carlos (Calusa) (died 1567), king or paramount chief of the Calusa people of Southwest Florida * Carlos (DJ) (born 1966), British DJ * Carlos (singer) (1943—2008), French entertainer * Carlos the Jackal, a Venezuelan terrorist *Carlos (DJ) (born 2010) Guyanese DJ Arts and entertainment * Carlos (miniseries), ''Carlos'' (miniseries), 2010 biopic about the terrorist Carl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bryant Tuckerman
Louis Bryant Tuckerman, III (November 28, 1915 – May 19, 2002) was an American mathematician, born in Lincoln, Nebraska. He was a member of the team that developed the Data Encryption Standard (DES). He studied topology at Princeton, where he invented the Tuckerman traverse method for revealing all the faces of a flexagon. On March 4, 1971, he discovered the 24th Mersenne prime, a titanic prime A megaprime is a prime number with at least one million decimal digits. Other terms for large primes include titanic prime, coined by Samuel Yates in the 1980s for a prime with at least 1000 digits, and gigantic prime for a prime with at least 10 ..., with a value of :2^-1. References External links Tuckerman Obituary 20th-century American mathematicians 21st-century American mathematicians 1915 births 2002 deaths IBM employees People from Briarcliff Manor, New York Mathematicians from New York (state) {{US-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John L
John Lasarus Williams (29 October 1924 – 15 June 2004), known as John L, was a Welsh nationalist activist. Williams was born in Llangoed on Anglesey, but lived most of his life in nearby Llanfairpwllgwyngyll. In his youth, he was a keen footballer, and he also worked as a teacher. His activism started when he campaigned against the refusal of Brewer Spinks, an employer in Blaenau Ffestiniog, to permit his staff to speak Welsh. This inspired him to become a founder of Undeb y Gymraeg Fyw, and through this organisation was the main organiser of ''Sioe Gymraeg y Borth'' (the Welsh show for Menai Bridge using the colloquial form of its Welsh name).Colli John L Williams , '''', 15 June ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Derrick Henry Lehmer
Derrick Henry "Dick" Lehmer (February 23, 1905 – May 22, 1991), almost always cited as D.H. Lehmer, was an American mathematician significant to the development of computational number theory. Lehmer refined Édouard Lucas' work in the 1930s and devised the Lucas–Lehmer primality test, Lucas–Lehmer test for Mersenne primes. His peripatetic career as a Number theory, number theorist, with him and his wife taking numerous types of work in the United States and abroad to support themselves during the Great Depression, fortuitously brought him into the center of research into early electronic computing. Early life Lehmer was born in Berkeley, California, to Derrick Norman Lehmer, a professor of mathematics at the University of California, Berkeley, and Clara Eunice Mitchell. He studied physics and earned a Bachelor degree from UC Berkeley, and continued with graduate studies at the University of Chicago. He and his father worked together on Lehmer sieves. Marriage During his s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Brillhart
John David Brillhart (November 13, 1930 – May 21, 2022) was a mathematician who worked in number theory at the University of Arizona. Early life and education Brillhart was born on November 13, 1930 in Berkeley, California. He studied at the University of California, Berkeley, where he received his A.B. in 1953, his M.A. in 1966, and his Ph.D. in 1967. His doctoral thesis in mathematics was supervised by D. H. Lehmer, with assistance from Leonard Carlitz. Before becoming a mathematician, he served in the United States Army. Career Brillhart joined the faculty at the University of Arizona in 1967 and retired in 2001. He advised two Ph.D. students. Research Brillart worked in integer factorization. His joint work with Michael A. Morrison in 1975 describes how to implement the continued fraction factorization method originally developed by Lehmer and Ralph Ernest Powers in 1931. One consequence was the first factorization of the Fermat number F^7 = 2^+1. Their ideas were influe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
COAST Laboratory
The Center for Education and Research in Information Assurance and Security (CERIAS) of Purdue University, United States, is a center for research and education in areas of information security for computing and communication infrastructures. Its research is focused on the following areas: *Risk management, policies, and laws *Trusted social and human interactions *Security awareness, education, and training *Assurable software and architectures *Enclave and network security *Incident detection, response, and investigation *Identification, authentication, and privacy *Cryptology and rights CERIAS is one of the world’s leading academic institutions in this area. It is one of the NSF's "Original Seven" Centers for Academic Excellence in Information Assurance Education. History CERIAS was rooted in COAST research group (Computer Operations, Audit, and Security Technology) established in 1991 in the Computer Sciences Department of Purdue out of research groups of professors Eugen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
CERIAS
The Center for Education and Research in Information Assurance and Security (CERIAS) of Purdue University, United States, is a center for research and education in areas of information security for computing and communication infrastructures. Its research is focused on the following areas: *Risk management, policies, and laws *Trusted social and human interactions *Security awareness, education, and training *Assurable software and architectures *Enclave and network security *Incident detection, response, and investigation *Identification, authentication, and privacy *Cryptology and rights CERIAS is one of the world’s leading academic institutions in this area. It is one of the NSF's "Original Seven" Centers for Academic Excellence in Information Assurance Education. History CERIAS was rooted in COAST research group (Computer Operations, Audit, and Security Technology) established in 1991 in the Computer Sciences Department of Purdue out of research groups of professors Eugen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Center For Education And Research In Information Assurance And Security
The Center for Education and Research in Information Assurance and Security (CERIAS) of Purdue University, United States, is a center for research and education in areas of information security for computing and communication infrastructures. Its research is focused on the following areas: *Risk management, policies, and laws *Trusted social and human interactions *Security awareness, education, and training *Assurable software and architectures *Enclave and network security *Incident detection, response, and investigation *Identification, authentication, and privacy *Cryptology and rights CERIAS is one of the world’s leading academic institutions in this area. It is one of the NSF's "Original Seven" Centers for Academic Excellence in Information Assurance Education. History CERIAS was rooted in COAST research group (Computer Operations, Audit, and Security Technology) established in 1991 in the Computer Sciences Department of Purdue out of research groups of professors Eugen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
