# zbMATH — the first resource for mathematics

## Grant, David R.

Compute Distance To:
 Author ID: grant.david-r Published as: Grant, David; Grant, David R.; Grant, D.
 Documents Indexed: 38 Publications since 1988
all top 5

#### Co-Authors

 19 single-authored 5 Boxall, John L. 4 Varanasi, Mahesh Kumar 2 Deajim, Abdulaziz 1 Arledge, Jane 1 Childress, Nancy 1 Cojocaru, Alina Carmen 1 Coombes, Kevin R. 1 Gordon, Daniel M. 1 Ih, Su-ion 1 Jones, Nathan A. 1 Krastev, Krastan 1 Leprévost, Franck 1 Lieman, D. 1 Limburg, Steve 1 Shaulis, Delphy 1 Shparlinski, Igor E.
all top 5

#### Serials

 4 Compositio Mathematica 3 Acta Arithmetica 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 3 Transactions of the American Mathematical Society 3 Journal de Théorie des Nombres de Bordeaux 3 Advances in Mathematics of Communications 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the London Mathematical Society. Third Series 1 American Mathematical Monthly 1 IEEE Transactions on Information Theory 1 Rocky Mountain Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Mathematical Research Letters
all top 5

#### Fields

 33 Number theory (11-XX) 25 Algebraic geometry (14-XX) 6 Information and communication theory, circuits (94-XX) 2 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 120 times in 7 Documents Cited by Year
Formal groups in genus 2. Zbl 0702.14025
Grant, David
1990
Examples of torsion points on genus two curves. Zbl 1007.11038
Boxall, John; Grant, David
2000
A formula for the number of elliptic curves with exceptional primes. Zbl 1011.11039
Grant, David
2000
A generalization of a formula of Eisenstein. Zbl 0738.14019
Grant, David
1991
A generalization of Jacobi’s derivative formula to dimension two. Zbl 0646.14033
Grant, David
1988
Computing the Mordell-Weil rank of Jacobians of curves of genus two. Zbl 0790.14028
Gordon, Daniel M.; Grant, David
1993
On heterogeneous spaces. Zbl 0714.14021
Coombes, Kevin R.; Grant, David R.
1989
Space-time codes and non-associative division algebras arising from elliptic curves. Zbl 1163.17005
Deajim, Abdulaziz; Grant, David
2008
Units from 3- and 4-torsion on Jacobians of curves of genus 2. Zbl 0828.11033
Grant, David
1994
5-torsion points on curves of genus 2. Zbl 1069.14031
Boxall, John; Grant, David; Leprévost, Franck
2001
Duality theory for space-time codes over finite fields. Zbl 1275.94041
Grant, David; Varanasi, Mahesh K.
2008
One-parameter families of elliptic curves over $$\mathbb Q$$ with maximal Galois representations. Zbl 1284.11090
Cojocaru, Alina-Carmen; Grant, David; Jones, Nathan
2011
Integer points on curves of genus 2 and their Jacobians. Zbl 0828.11032
Grant, David
1994
The equivalence of space-time codes and codes defined over finite fields and Galois rings. Zbl 1234.94089
Grant, David; Varanasi, Mahesh K.
2008
Units from 5-torsion on the Jacobian of $$y^2=x^5+1/4$$ and the conjectures of Stark and Rubin. Zbl 1004.11066
Grant, David
1999
Formal groups of twisted multiplicative groups and $$L$$-series. Zbl 0839.11057
Childress, Nancy; Grant, David
1995
An explicit theorem of the square for hyperelliptic Jacobians. Zbl 1083.14029
Arledge, Jane; Grant, David
2001
Singular torsion points on elliptic curves. Zbl 1130.11322
Boxall, John; Grant, David
2003
Integral division points on curves. Zbl 1292.11072
Grant, David; Ih, Su-Ion
2013
On an analogue of the Lutz-Nagell theorem for hyperelliptic curves. Zbl 1310.11068
Grant, David
2013
Torsion on theta divisors of hyperelliptic Fermat Jacobians. Zbl 1077.11045
Grant, David
2004
A curve for which Coleman’s effective Chabauty bound is sharp. Zbl 0834.14015
Grant, David
1994
Geometric proofs of reciprocity laws. Zbl 1113.11059
Grant, David
2005
Theta functions and singular torsion on elliptic curves. Zbl 1195.11076
Boxall, John; Grant, David
2002
Some product formulas for theta functions in one and two variables. Zbl 1021.11009
Grant, David
2002
On the classification of 3-dimensional non-associative division algebras over $$p$$-adic fields. Zbl 1242.17006
Deajim, Abdulaziz; Grant, David
2011
A public key cryptosystem based on sparse polynomials. Zbl 1018.94016
Grant, D.; Krastev, K.; Lieman, D.; Shparlinski, I.
2000
Integral division points on curves. Zbl 1292.11072
Grant, David; Ih, Su-Ion
2013
On an analogue of the Lutz-Nagell theorem for hyperelliptic curves. Zbl 1310.11068
Grant, David
2013
One-parameter families of elliptic curves over $$\mathbb Q$$ with maximal Galois representations. Zbl 1284.11090
Cojocaru, Alina-Carmen; Grant, David; Jones, Nathan
2011
On the classification of 3-dimensional non-associative division algebras over $$p$$-adic fields. Zbl 1242.17006
Deajim, Abdulaziz; Grant, David
2011
Space-time codes and non-associative division algebras arising from elliptic curves. Zbl 1163.17005
Deajim, Abdulaziz; Grant, David
2008
Duality theory for space-time codes over finite fields. Zbl 1275.94041
Grant, David; Varanasi, Mahesh K.
2008
The equivalence of space-time codes and codes defined over finite fields and Galois rings. Zbl 1234.94089
Grant, David; Varanasi, Mahesh K.
2008
Geometric proofs of reciprocity laws. Zbl 1113.11059
Grant, David
2005
Torsion on theta divisors of hyperelliptic Fermat Jacobians. Zbl 1077.11045
Grant, David
2004
Singular torsion points on elliptic curves. Zbl 1130.11322
Boxall, John; Grant, David
2003
Theta functions and singular torsion on elliptic curves. Zbl 1195.11076
Boxall, John; Grant, David
2002
Some product formulas for theta functions in one and two variables. Zbl 1021.11009
Grant, David
2002
5-torsion points on curves of genus 2. Zbl 1069.14031
Boxall, John; Grant, David; Leprévost, Franck
2001
An explicit theorem of the square for hyperelliptic Jacobians. Zbl 1083.14029
Arledge, Jane; Grant, David
2001
Examples of torsion points on genus two curves. Zbl 1007.11038
Boxall, John; Grant, David
2000
A formula for the number of elliptic curves with exceptional primes. Zbl 1011.11039
Grant, David
2000
A public key cryptosystem based on sparse polynomials. Zbl 1018.94016
Grant, D.; Krastev, K.; Lieman, D.; Shparlinski, I.
2000
Units from 5-torsion on the Jacobian of $$y^2=x^5+1/4$$ and the conjectures of Stark and Rubin. Zbl 1004.11066
Grant, David
1999
Formal groups of twisted multiplicative groups and $$L$$-series. Zbl 0839.11057
Childress, Nancy; Grant, David
1995
Units from 3- and 4-torsion on Jacobians of curves of genus 2. Zbl 0828.11033
Grant, David
1994
Integer points on curves of genus 2 and their Jacobians. Zbl 0828.11032
Grant, David
1994
A curve for which Coleman’s effective Chabauty bound is sharp. Zbl 0834.14015
Grant, David
1994
Computing the Mordell-Weil rank of Jacobians of curves of genus two. Zbl 0790.14028
Gordon, Daniel M.; Grant, David
1993
A generalization of a formula of Eisenstein. Zbl 0738.14019
Grant, David
1991
Formal groups in genus 2. Zbl 0702.14025
Grant, David
1990
On heterogeneous spaces. Zbl 0714.14021
Coombes, Kevin R.; Grant, David R.
1989
A generalization of Jacobi’s derivative formula to dimension two. Zbl 0646.14033
Grant, David
1988
all top 5

#### Cited by 8 Authors

 2 Draziotis, Konstantinos A. 2 González-Jiménez, Enrique 2 Xarles, Xavier 1 Gordon, Daniel M. 1 Morrow, Jackson Salvatore 1 Poulakis, Dimitrios 1 Rouse, Jeremy A. 1 Zureick-Brown, David
all top 5

#### Cited in 6 Serials

 2 Mathematics of Computation 1 Rocky Mountain Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 LMS Journal of Computation and Mathematics 1 Research in Number Theory

#### Cited in 2 Fields

 7 Number theory (11-XX) 4 Algebraic geometry (14-XX)