Portrait of Emmy Noether
Mathematics

Emmy Noether

1882–1935 · Mathematician

Emmy Noether was a German mathematician who proved one of the most important theorems in physics: that every symmetry in nature corresponds to a conservation law. Einstein called her a genius, but she faced discrimination as a woman throughout her career.

If one proves the equality of two numbers a and b by showing a = b and b = a, then that does not prove they are equal; it only proves that one cannot tell the difference between them.

BORN
March 23rd, 1882
NATIONALITY
German
FIELD
Mathematician
SUBJECT
Mathematics
Did you know?

Einstein said Noether was the most important woman in the history of mathematics — but for years she was not allowed to teach because she was a woman.

Why is this scientist famous?

Proved Noether's theorem, linking symmetry and conservation laws — a foundation of modern physics.

Noether discovered a deep link between symmetry and the laws of physics — a principle that underpins how we understand energy, momentum, and the fundamental forces. Her theorem is used in everything from particle physics to the search for dark matter. She showed that some of the most powerful ideas in physics come from pure mathematics.

Emmy's story

Early Life

Born in 1882 in Erlangen, Germany, Noether was the daughter of a mathematician. Initially barred from formally enrolling in university because she was a woman, she audited classes and passed exams. She eventually earned her PhD in 1907 with a dissertation on algebraic invariants.

Noether's Theorem

In 1915, Noether proved a theorem that became one of the most important results in mathematical physics: every continuous symmetry of a physical system corresponds to a conserved quantity. For example, time symmetry means energy is conserved, and rotational symmetry means angular momentum is conserved. This principle underlies all of modern physics, from quantum mechanics to general relativity.

Abstract Algebra

Noether went on to become one of the founders of abstract algebra, developing ring theory and ideal theory. Her approach — studying mathematical structures abstractly rather than through specific examples — transformed how mathematicians think about their field.

Discrimination and Escape

Despite her brilliance, Noether was denied a paid university position for years because she was a woman. She lectured under a male colleague's name and was paid nothing. When the Nazis came to power in 1933, she was fired for being Jewish. She fled to the United States and taught at Bryn Mawr College for just two years before dying after surgery in 1935, age 53.

What did they discover?

Noether's Theorem

Proved that every symmetry in nature corresponds to a conservation law — the foundation of modern physics from quantum mechanics to general relativity.

Founding Abstract Algebra

Developed ring theory and ideal theory, transforming algebra from the study of specific equations to the study of abstract mathematical structures.

Noncommutative Algebra

Pioneered the study of noncommutative algebras, which became important in quantum mechanics and modern physics.

Amazing facts

01

Einstein wrote that she was "the most significant creative mathematical genius thus far produced since the higher education of women began."

02

She taught at the University of Erlangen for 7 years without pay, lecturing under a male colleague's name.

03

She was fired by the Nazis in 1933 for being Jewish and fled to America.

04

Her theorem connects symmetry and conservation laws — every physics student learns it, but few know her name.

05

She was known for being an inspiring teacher and had a devoted circle of students called "Noether's Boys."

06

She died at only 53 after surgery to remove an ovarian cyst.

Timeline

March 23rd, 1882

Born in Erlangen, Germany on March 23

1900

Passed the Bavarian teaching exam but chose to study mathematics at university instead

1903

Enrolled at the University of Göttingen, then returned to Erlangen to complete her PhD

1907

Earned her PhD in mathematics from the University of Erlangen

1915

Invited to Göttingen by David Hilbert and Felix Klein; proved Noether's theorem

1919

Finally allowed to teach at Göttingen, but still without pay for several years

1933

Fired by the Nazis for being Jewish; fled to the United States

1934

Began teaching at Bryn Mawr College in Pennsylvania

April 14th, 1935

Died in Bryn Mawr on April 14, age 53

1935

Einstein published a tribute calling her a genius

Awards & honours

Ackermann-Teubner Memorial Award
1932

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Sources & references

Books and educational kits about Emmy Noether coming soon