|
Dr. Martine Girard
Honorary Associate
School of Mathematics and Statistics F07
The University of Sydney, NSW 2006
Australia
Office : Carslaw
638
Tel : (61)-2-9351-5780
Fax : (61)-2-9351-4534
Email :
girard@maths.usyd.edu.au
|
|
I am organising (with Robert Carls) the Number Theory Seminar .
I am teaching a Honours course on Algebraic Curves,
Education and Postdoctoral Experience
- Sesqui Postdoctoral Fellow,
Number Theory Group,
School of Mathematics and Statistics at the
University of Sydney, April 2003- March 2006.
- Postdoctoral Fellow, GTEM
European Network,
Università di Roma, Tor Vergata , Italy, October
2002-March 2003.
- Postdoctoral Fellow, GTEM
European Network, , within the Number Theory
Group of the
Mathematisch Instituut,
Leiden University, The Netherlands, January 2001-June 2002.
- PhD. Mathematics (2000), from Paris 7 University, within
the Number
Theory research group of Jussieu Mathematical
Institute, Paris, France.
My curriculum vitae (last modified
December 2005). (pdf).
Research Interests
|
|
|
- Arithmetic of curves and their Jacobians.
|
- Rational points on curves.
|
- Computational arithmetic geometry.
|
|
My publications:
-
Classification of Genus 3 Curves
in Special Strata of the Moduli Space
joint work with David Kohel, to appear in
ANTS VII (Berlin, 2006)
(on arXiv).
- A result on the rank of the group generated by the Weierstrass
points in the generic curve of genus g
The Weierstrass subgroup of a curve has maximal rank
joint work with David Kohel and
Christophe
Ritzenthaler, to appear in the Bulletin of the London
Mathematical Society
(on arXiv).
-
Computation of sets of rational points of genus 3 curves via
the Dem'janenko-Manin's method joint work with Leopoldo Kulesz,
LMS Journal of
Computations and Mathematics 8 (2005) 267-300.
- The group of Weierstrass points
of a plane quartic with at least eight hyperflexes,
Mathematics of Computation 75 (2006),
1561--1583. (pdf).
(on the AMS web site).
- Groupe des points de
Weierstrass sur une famille de quartiques lisses, Acta
Arithmetica 105 (2002), 305--321.
- Géométrie du groupe des points de
Weierstrass d'une quartique lisse, Journal of Number
Theory 94 (2002), 103-135 (pdf).
- Group generated by the
Weierstrass points of a plane quartic joint work with Pavlos
Tzermias, Proceedings of the American Math Society
130 (2002), 667-672. (pdf)
(on the AMS web site).
- Some generalities on Weierstrass points
and what we can do with them:
Group of Weierstrass points of a plane quartic
Research Hilight, Annual Report of the Mathematical Institute,
Leiden University, 2002.
- My PhD thesis (in French)
Points de Weierstrass et jacobiennes de
courbes algébriques de genre 3, Paris 7 University, 2000.
Preprints and others:
Code for computing heights on elliptic curves with magma:
You can find here some programs to
compute the heights of points on elliptic curves over number fields or
function fields.
version française de cette page.
