John William Scott (‘Ian’) Cassels. 11 July 1922 — 27 July 2015-Reference-Cited by-同舟云学术

John William Scott (‘Ian’) Cassels. 11 July 1922 — 27 July 2015

Published:2023-03-29 Issue: Volume:74 Page:87-108
ISSN:0080-4606
Container-title:Biographical Memoirs of Fellows of the Royal Society
language:en
Short-container-title:Biogr. Mems Fell. R. Soc.

Author:

Dietmann Rainer¹,Fisher Tom²,Smyth Chris³,Velani Sanju⁴

Affiliation:

1. Department of Mathematics, Royal Holloway, University of London, Egham, UK

2. DPMMS, University of Cambridge, Cambridge, UK

3. School of Mathematics, University of Edinburgh, Edinburgh, UK

4. Department of Mathematics, University of York, Heslington, York UK

Abstract

J. W. S. Cassels was a distinguished number theorist, who was Sadleirian Professor in Cambridge from 1967 to 1984. He worked in many areas of the subject. Perhaps his greatest contribution was concerning Elliptic Curves, much of which is described in a series of eight ground-breaking papers. He also made significant contributions to Diophantine Approximation, Geometry of Numbers and Quadratic Forms, as well as writing influential textbooks on all of these areas. Furthermore, he was an early exponent of the use of computers as an experimental tool in number theory.

Publisher

The Royal Society

Subject

General Medicine

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsbm.2022.0035

Reference84 articles.

1. Birch B. 2015 Ian Cassels. London Mathematical Society Newsletter October 2015 p. 32. See https://www.lms.ac.uk/sites/lms.ac.uk/files/files/October%202015.pdf.

2. On a question of Mordell

3. Distribution of values of quadratic forms at integral points

4. Weil–Châtelet divisible elements in Tate–Shafarevich groups II: On a question of Cassels

5. Colliot-Thélène, J.-L., Kanevsky, D. & Sansuc, J.-J. 1987 Arithmétique des surfaces cubiques diagonales. In Diophantine approximation and transcendence theory (Bonn, 1985) (ed. G. Wüstholz), pp. 1-108. London, UK: Springer.