# Élisabeth Lutz

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][L37]

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 ${\displaystyle p}$-adic fields.[2][3] She completed her doctorate (thèse d’état) on ${\displaystyle p}$-adic Diophantine approximation at the University of Grenoble in 1951 under the supervision of Claude Chabauty; her dissertation was Sur les approximations diophantiennes linéaires ${\displaystyle p}$-adiques.[4]

She became a professor of mathematics at the University of Grenoble.[5]

## Selected publications

• Lutz, Élisabeth (1937). "Sur l'équation ${\displaystyle y^{2}=x^{2}-Ax-B}$ dans les corps ${\displaystyle p}$-adiques". Journal für die reine und angewandte Mathematik. 177: 237–247.

## References

1. ^ Silverman, Joseph H.; Tate, John (1992). Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics. New York: Springer-Verlag. p. 47. doi:10.1007/978-1-4757-4252-7. ISBN 0-387-97825-9. MR 1171452.
2. ^ Knapp, Anthony W. (1999). "André Weil: A Prologue" (PDF). Notices of the American Mathematical Society. 46 (4): 434–439.
3. ^ André Weil, Collected Papers vol. I, pp. 538–539
4. ^
5. ^ "Liste des professeurs". Thèse presentée a la faculté des sciences de l'Université de Grenoble (PDF) (in French). 1970. p. 2.