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John William Scott Cassels (born July 11, 1922) is a leading British mathematician. July 11 is the 192nd day (193rd in leap years) of the year in the Gregorian Calendar, with 173 days remaining. ...
1922 was a common year starting on Sunday (see link for calendar). ...
His academic career was interrupted in World War II when he was involved in cryptography at Bletchley Park. After the war he became a research student of Louis Mordell, at the University of Cambridge. Mushroom cloud from the nuclear explosion over Nagasaki rising 18 km (over 11 miles) into the air, August 9, 1945 after the Allied atomic bombings of Hiroshima and Nagasaki. ...
See also: Topics in cryptography The security of all practical encryption schemes remains unproven, both for symmetric and asymmetric schemes. ...
During World War II, British cryptographers at Bletchley Park broke a large number of Axis codes and ciphers, including the German Enigma machine. ...
Louis Joel Mordell (28 January 1888 - 12 March 1972) was a British mathematician, known for pioneering research in number theory. ...
The University of Cambridge is the second-oldest university in the English-speaking world. ...
He initially worked on elliptic curves. After a period when he worked on geometry of numbers and diophantine approximation, he returned in the later 1950s to the arithmetic of elliptic curves, writing a series of papers connecting the Selmer group with Galois cohomology and laying some of the foundations of the modern theory of infinite descent. His best-known single result may be the proof that the Tate-Shafarevich group, if it is finite, must have order that is a square; the proof being by construction of an alternating form. In mathematics, an elliptic curve is a plane curve defined by an equation of the form y2 = x3 + a x + b, which is non-singular; that is, its graph has no cusps or self-intersections. ...
In number theory, the geometry of numbers is a topic and method arising from the work of Hermann Minkowski, on the relationship between convex sets and lattices in n-dimensional space. ...
In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. ...
In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups. ...
In mathematics, a proof by infinite descent is a particular kind of proof by mathematical induction. ...
In mathematics, the Weil-Châtelet group of an abelian variety A defined over a field K is the abelian group of principal homogeneous spaces for A, defined over K. It is named for André Weil, who introduced the general group operation in it, and F. Châtelet. ...
In linear algebra, a skew-symmetric (or antisymmetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation: AT = −A or in component form, if A = (aij): aij = − aji for all i and j. ...
His mathematical style is mainly as a problem solver, prepared for example to tackle individual Diophantine equations by algebraic number theory and p-adic methods. His publications number around 200 papers. In mathematics, a Diophantine equation is a polynomial equation that only allows the variables to be integers. ...
In mathematics, an algebraic number field (or simply number field) is a finite field extension of the rational numbers Q. That is, it is a field which contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and these days...
Awards
The Royal Society of London is claimed to be the oldest learned society still in existence and was founded in 1660. ...
1963 was a common year starting on Tuesday (link will take you to calendar). ...
The Royal Society of London for the Improvement of Natural Knowledge, known simply as the Royal Society, is claimed to be the oldest learned society still in existence. ...
The Sylvester Medal is a bronze medal awarded every three years by the Royal Society for the encouragement of mathematical research. ...
1973 was a common year starting on Monday. ...
The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society (LMS). ...
1986 is a common year starting on Wednesday of the Gregorian calendar. ...
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