Research Output per year

## Personal profile

### Education / Academic qualification

PHD, University of Cambridge

… → 1978

BA, University of Oxford

… → 1972

MA, University of Oxford

… → 1977

## 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.

Integer
Mathematics

Curve
Mathematics

Rational points
Mathematics

Elliptic curves
Mathematics

Diophantine equation
Mathematics

Genus
Mathematics

Rank of a matrix
Mathematics

Generator
Mathematics

##
Network
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## Research Output 1975 2017

- 261 Citations
- 9 h-Index
- 67 Article

## 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

## 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

Polynomial

Quartic

Quadratic field

Number field

Discriminant

## Points at rational distances from the vertices of certain geometric objects

Bremner, A. & Ulas, M. Jan 1 2016 In : Journal of Number Theory. 158, p. 104-133 30 p.Research output: Contribution to journal › Article

Geometric object

Rectangle

Cube

Rational points

Triangular pyramid

## Some observations concerning reducibility of quadrinomials

Bremner, A. & Ulas, M. Apr 1 2015 In : Acta Mathematica Hungarica. 145, 2, p. 320-349 30 p.Research output: Contribution to journal › Article

Reducibility

Quadratic polynomial

Rational points

Divisible

Genus

## Squares in arithmetic progression over cubic fields

Bremner, A. & Siksek, S. 2015 In : International Journal of Number Theory.Research output: Contribution to journal › Article

Arithmetic sequence

Cubic fields

Number field

Quadratic field

Euler