J. W. S. Cassels

E167942

human mathematician number theorist

J. W. S. Cassels was a prominent British mathematician known for his influential work in number theory and Diophantine approximation.

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All labels observed (4)

Label	Occurrences
J. W. S. Cassels canonical	2
Cassels, J. W. S., An Introduction to Diophantine Approximation	1
Cassels, J. W. S., Local Fields	1
Cassels, J. W. S., Rational Quadratic Forms	1

How this entity was disambiguated

This entity first appeared as the object of triple T1428722 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: J. W. S. Cassels
Context triple: [Harold Davenport, doctoralStudent, J. W. S. Cassels]

A. Harold Davenport
Harold Davenport was a prominent 20th-century British mathematician renowned for his contributions to number theory and his influential role as a doctoral advisor to many leading mathematicians.
B. Klaus Roth
Klaus Roth was a German-born British mathematician renowned for his groundbreaking work in number theory, particularly his proof of Roth's theorem on Diophantine approximation, for which he received the Fields Medal in 1958.
C. John Charles Fields
John Charles Fields was a Canadian mathematician best known for founding and endowing the Fields Medal, one of the most prestigious awards in mathematics.
D. Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
E. Louis Mordell
Louis Mordell was a prominent British mathematician known for his influential work in number theory, particularly the Mordell conjecture and the Mordell–Weil theorem.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: J. W. S. Cassels
Target entity description: J. W. S. Cassels was a prominent British mathematician known for his influential work in number theory and Diophantine approximation.

A. Harold Davenport
Harold Davenport was a prominent 20th-century British mathematician renowned for his contributions to number theory and his influential role as a doctoral advisor to many leading mathematicians.
B. Klaus Roth
Klaus Roth was a German-born British mathematician renowned for his groundbreaking work in number theory, particularly his proof of Roth's theorem on Diophantine approximation, for which he received the Fields Medal in 1958.
C. John Charles Fields
John Charles Fields was a Canadian mathematician best known for founding and endowing the Fields Medal, one of the most prestigious awards in mathematics.
D. Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
E. Louis Mordell
Louis Mordell was a prominent British mathematician known for his influential work in number theory, particularly the Mordell conjecture and the Mordell–Weil theorem.
F. None of above. chosen

Statements (42)

Predicate	Object
instanceOf	human ⓘ mathematician ⓘ number theorist ⓘ
affiliation	London Mathematical Society ⓘ
areaOfInfluence	modern number theory ⓘ
awardReceived	De Morgan Medal ⓘ Berwick Prize ⓘ surface form: Senior Berwick Prize
countryOfCitizenship	United Kingdom ⓘ
doctoralAdvisor	Louis Mordell ⓘ
doctoralStudent	Bryan Birch ⓘ Peter Swinnerton-Dyer ⓘ
educatedAt	Cambridge University ⓘ surface form: University of Cambridge
employer	Cambridge University ⓘ surface form: University of Cambridge
familyName	Cassels ⓘ
fieldOfWork	Diophantine approximation ⓘ algebraic number theory ⓘ arithmetic geometry ⓘ elliptic curves ⓘ number theory ⓘ quadratic forms ⓘ
gender	male ⓘ
givenName	John ⓘ
hasBibliographyItem	J. W. S. Cassels self-linksurface differs ⓘ surface form: Cassels, J. W. S., An Introduction to Diophantine Approximation Cassels, J. W. S., Lectures on Elliptic Curves ⓘ J. W. S. Cassels self-linksurface differs ⓘ surface form: Cassels, J. W. S., Local Fields J. W. S. Cassels self-linksurface differs ⓘ surface form: Cassels, J. W. S., Rational Quadratic Forms
influenced	research on the Birch and Swinnerton-Dyer conjecture ⓘ
knownFor	contributions to local fields ⓘ contributions to the arithmetic of elliptic curves ⓘ research on quadratic forms ⓘ work in Diophantine approximation ⓘ
languageOfWorkOrName	English ⓘ
memberOf	Royal Society ⓘ
name	John William Scott Cassels ⓘ
nationality	British ⓘ
notableConcept	Cassels–Tate pairing ⓘ
notableWork	An Introduction to Diophantine Approximation ⓘ Lectures on Elliptic Curves ⓘ Local Fields ⓘ Rational Quadratic Forms ⓘ
occupation	university teacher ⓘ
workInstitution	Trinity College, Cambridge ⓘ

How these facts were elicited

Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Harold Davenport → doctoralStudent → J. W. S. Cassels ⓘ

J. W. S. Cassels → hasBibliographyItem → J. W. S. Cassels self-linksurface differs ⓘ

this entity surface form: Cassels, J. W. S., An Introduction to Diophantine Approximation

J. W. S. Cassels → hasBibliographyItem → J. W. S. Cassels self-linksurface differs ⓘ

this entity surface form: Cassels, J. W. S., Rational Quadratic Forms

J. W. S. Cassels → hasBibliographyItem → J. W. S. Cassels self-linksurface differs ⓘ

this entity surface form: Cassels, J. W. S., Local Fields

John Coates → doctoralAdvisor → J. W. S. Cassels ⓘ

All labels observed (4)

How this entity was disambiguated Show

Statements (42)

How these facts were elicited Show

Referenced by (5)

How this entity was disambiguated

How these facts were elicited