Élisabeth Lutz Explained

Élisabeth Lutz (May 14, 1914 – July 31, 2008) was a French mathematician. The Nagell–Lutz theorem in Diophantine geometry describes the torsion points of elliptic curves; it is named after Lutz and Trygve Nagell, who both published it in the 1930s.^[1]

Lutz was a student of André Weil at the University of Strasbourg, from 1934 to 1938. She earned a thesis for her research for him, on elliptic curves over

p -adic fields.^{[2] [3]} She completed her doctorate (thèse d’état) on

p -adic Diophantine approximation at the University of Grenoble in 1951 under the supervision of Claude Chabauty; her dissertation was Sur les approximations diophantiennes linéaires p -adiques.

She became a professor of mathematics at the University of Grenoble.^[4]

Selected publications

• Élisabeth. Lutz . Sur l'équation y ^{2=x} ^{2-Ax-B} dans les corps p -adiques . . 177 . 1937 . 237–247 .

Notes and References

1. Book: Silverman. Joseph H.. Joseph H. Silverman. Tate. John. John Tate (mathematician). 10.1007/978-1-4757-4252-7. 0-387-97825-9. New York. 1171452. 47. Springer-Verlag. Undergraduate Texts in Mathematics. Rational Points on Elliptic Curves. 1992.
2. Anthony W. . Knapp . Anthony W. Knapp. André Weil: A Prologue . . 46 . 4 . 1999 . 434–439 .
3. [André Weil]
4. Book: Thèse presentée a la faculté des sciences de l'Université de Grenoble. 1970. 2. Liste des professeurs. French.