Personal profile

Education / Academic qualification

PHD, University of Cambridge

… → 1978

MA, University of Oxford

… → 1977

BA, University of Oxford

… → 1972

Fingerprint Fingerprint is based on mining the text of the persons scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Rational Points Mathematics
Diophantine equation Mathematics
Elliptic Curves Mathematics
Quartic Mathematics
Curve Mathematics
Integer Mathematics
Genus Mathematics
Square number Mathematics

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Research Output 1975 2018

  • 329 Citations
  • 11 h-Index
  • 70 Article
  • 1 Comment/debate
Cubic Fields
Number field
P-adic Fields

The equation (w + x + y + z)(1/w + 1/x + 1/y + 1/z) = n

Bremner, A. & Xuan, T. N. Jan 25 2018 (Accepted/In press) In : International Journal of Number Theory. p. 1-18 18 p.

Research output: Contribution to journalArticle

Elliptic Curves
Infinitely Many Solutions
Positive Solution
Existence of Solutions


BREMNER, A. N. D. R. E. W. Oct 4 2017 (Accepted/In press) In : Bulletin of the Australian Mathematical Society. p. 1-7 7 p.

Research output: Contribution to journalArticle

Algebraic number Field
Cubic Fields

On representing coordinates of points on elliptic curves by quadratic forms

Bremner, A. & Ulas, M. 2017 In : Acta Arithmetica. 179, 1, p. 55-78 24 p.

Research output: Contribution to journalArticle

Diophantine equation
Rational Points
Quadratic form
Elliptic Curves

On K-derived quartics

Bremner, A. & Carrillo, B. Nov 1 2016 In : Journal of Number Theory. 168, p. 276-291 16 p.

Research output: Contribution to journalArticle

Quadratic field
Number field