Emmy Noether

Amalie Emmy Noether was born on 23 March 1882 in Erlangen, in Bavaria, then part of the German Empire. Her father, Max Noether, was a mathematician at the University of Erlangen. She first qualified to teach French and English, but chose to study mathematics. At a time when women faced barriers to university enrollment, she initially attended lectures as an auditor at Erlangen and Göttingen. After women were allowed to matriculate at Erlangen, she completed her mathematics degree there and received a doctorate in 1907. Her early experience illustrates the institutional obstacles women encountered in German higher education.

Noether became a leading figure in abstract algebra. Her research moved from invariant theory toward a structural study of algebraic systems, including rings and ideals. Her 1921 work on ideal theory was influential in the development of modern algebra. She also made a lasting contribution to physics through what is now called Noether’s theorem: in systems described by suitable mathematical laws, continuous symmetries are associated with conserved quantities. For example, rotational symmetry is linked to conservation of angular momentum. The result provides a general way to understand conservation laws, rather than treating each one as an isolated rule.

In 1915, mathematicians David Hilbert and Felix Klein invited Noether to Göttingen, where her expertise in invariant theory was relevant to contemporary work in physics. Although she lectured and conducted research there, resistance to women faculty delayed her formal qualification; she became a Privatdozent in 1919 and later received a modest teaching salary, but never held a tenured professorship. After the Nazis came to power, anti-Jewish measures led to her dismissal from Göttingen in 1933. She left Germany for the United States, where she taught at Bryn Mawr College and gave lectures at the Institute for Advanced Study in Princeton.

Noether died in Bryn Mawr, Pennsylvania, on 14 April 1935, aged 53. Her influence is evident in two areas that are often taught separately: the abstract structures central to modern algebra and the relationship between symmetry and conservation in physics. Her work also stands as a reminder that mathematical achievement does not occur apart from institutions: for much of her career, gender discrimination and later antisemitic persecution restricted where and how she could teach and work.