Research Output per year

## 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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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1975 2018

## Corrigendum to: Some Quartic Curves with no Points in any Cubic Field (Proceedings of the London Mathematical Society, (1986), s3-52, 2, (193-214), 10.1112/plms/s3-52.2.193)

Bremner, A. Apr 1 2018 In : Proceedings of the London Mathematical Society. 116, 4, 1 p.Research output: Contribution to journal › Comment/debate

Cubic Fields

Quartic

Number field

Curve

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 journal › Article

Elliptic Curves

Integer

Infinitely Many Solutions

Positive Solution

Existence of Solutions

## ON PERFECT K-RATIONAL CUBOIDS

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 journal › Article

Cuboid

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 journal › Article

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 journal › Article

Quartic

Polynomial

Quadratic field

Number field

Discriminant