Monday's Google Doodle honors German mathematician Emmy Noether, who overcame impediments barring women from academia and prejudice and exclusion at the hands of the Nazis, but was unable to have her Google Doodle universally shown on what would be her 133rd birthday.

The German-born Noether, who made contributions to fields as varied as algebra and theoretical physics, was also hailed by her other contemporaries, including Pavel Alexandrov and Jean Dieudonne.

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Noether worked at the Mathematical Institute of Erlangen without pay or title from 1908 to 1915, and later created a conceptual approach to algebra which led to a body of principles unifying algebra, geometry, linear algebra, topology, and logic, according to one biography.

Noether revolutionized abstract algebra by providing a theorem, later called Noether's theorem, that theoretical physicists Leon M. Lederman and Christopher T. Hill called "one of the most important mathematical theorems ever proved in guiding the development of modern physics".

In her 1935 New York Times obituary, Albert Einstein referred to her as "the most significant creative mathematical genius thus far produced since the higher education of women began."

In this doodle, each circle symbolizes a branch of math or physics that Noether devoted her illustrious career to.

"From left to right, you can see topology (the donut and coffee mug), ascending/descending chains, Noetherian rings (represented in the doodle by the Lasker-Noether theorem), time, group theory, conservation of angular momentum, and continuous symmetries-and the list keeps going on and on from there!," said Doodle artist Sophie Diao.

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