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Faculty of Mathematics

 

Reader in Number Theory

Research Interests: My research interests are in arithmetical algebraic geometry and computational number theory. In particular I work on elliptic curve descent calculations, and the construction of explicit elements in the Tate-Shafarevich group.

Publications

The proportion of genus one curves over ℚ defined by a binary quartic that everywhere locally have a point
M Bhargava, J Cremona, T Fisher
– International Journal of Number Theory
(2020)
17,
1
Explicit moduli spaces for congruences of elliptic curves
T Fisher
– Mathematische Zeitschrift
(2019)
295,
1337
Some minimisation algorithms in arithmetic invariant theory
TA Fisher, L Radicevic
– Journal de Théorie des Nombres de Bordeaux
(2019)
30,
801
On some algebras associated to genus one curves
T Fisher
– Journal of Algebra
(2019)
518,
519
Visibility of 4-covers of elliptic curves
N Bruin, T Fisher
– Research in Number Theory
(2018)
4,
11
A formula for the Jacobian of a genus one curve of arbitrary degree
T Fisher
– Algebra and Number Theory
(2018)
12,
2123
Computing the Cassels–Tate pairing on 3-isogeny Selmer groups via cubic norm equations
M van Beek, T Fisher
– Acta Arithmetica
(2018)
185,
367
HIGHER DESCENTS ON AN ELLIPTIC CURVE WITH A RATIONAL 2-TORSION POINT
T Fisher
– Mathematics of Computation
(2017)
86,
2493
On genus one curves of degree 5 with square-free discriminant
T Fisher, M Sadek
– JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY
(2016)
31,
359
Visualizing elements of order $7$ in the Tate–Shafarevich group of an elliptic curve
T Fisher
– LMS Journal of Computation and Mathematics
(2016)
19,
100
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Research Group

Number Theory & Algebra

Room

E1.09

Telephone

01223 764275