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Emmy Noether: Mathematics Institute
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Emmy Noether was an exceptional woman; caring, compassionate and utterly unselfish possessing a love for life. She loved mathematics and made many contributions in algebraic number theory. Emmy Noether was a catalyst, actively influencing those around her.
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Noether's 1921 paper on the theory of ideals in rings is considered to contain her most important results. It extended the work of Dedekind on solutions of polynomials - algebraic expressions consisting of a constant multiplied by variables raised to a positive power - and laid the foundations for modern abstract algebra. Rather than working with specific operations on sets of numbers, this branch of mathematics looks at general properties of operations. Because of its generality, abstract algebra represents a unifying thread connecting such theoretical fields as logic and number theory with applied mathematics useful in chemistry and physics.
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During the 1920s Noether did foundational work on abstract algebra, working in group theory, ring theory, group representations, and number theory. Her mathematics would be very useful for physicists and crystallographers, but it was controversial then. There was debate whether mathematics should be conceptual and abstract (intuitionist) or more physically based and applied (constructionist). Noether's conceptual approach to algebra led to a body of principles unifying algebra, geometry, linear algebra, topology, and logic.
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The Association for Women in Mathematics (AWM) annually presents the Noether Lectures to honor women who have made fundamental and sustained contributions to the mathematical sciences. These one-hour expository lectures are presented at the Joint Mathematics Meetings each January. Emmy Noether was one of the great mathematicians of her time, someone who worked and struggled for what she loved and believed in. Her life and work remain a tremendous inspiration.
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