Amalie Emmy Noether was a German mathematician who made many important contributions to abstract algebra. She discovered Noether's first and second theorems, which are fundamental in mathematical physics. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics. As one of the leading mathematicians of her time, she developed theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws.
Jean-Pierre Serre is a French mathematician who has made contributions to algebraic topology, algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.
In mathematics, differential Galois theory studies the Galois groups of differential equations.
Øystein Ore was a Norwegian mathematician known for his work in ring theory, Galois connections, graph theory, and the history of mathematics.
Bertram Kostant was an American mathematician who worked in representation theory, differential geometry, and mathematical physics.
Robert Steinberg was a mathematician at the University of California, Los Angeles.
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra.
Abraham Seidenberg was an American mathematician.
Michael Jerome Hopkins is an American mathematician known for work in algebraic topology.
Yasutaka Ihara is a Japanese mathematician and professor emeritus at the Research Institute for Mathematical Sciences. His work in number theory includes Ihara's lemma and the Ihara zeta function.
Tsit Yuen Lam is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms.
Joseph Albert Wolf was an American mathematician at the University of California, Berkeley.
Haruzo Hida is a Japanese mathematician, known for his research in number theory, algebraic geometry, and modular forms.
Mark Lee Green is an American mathematician, who does research in commutative algebra, algebraic geometry, Hodge theory, differential geometry, and the theory of several complex variables. He is known for Green's Conjecture on syzygies of canonical curves.
Daniel Zelinsky was an American mathematician, specializing in algebra.
Michael F. Singer is an American mathematician.
Dan Burghelea is a Romanian-American mathematician, academic, and researcher. He is an Emeritus Professor of Mathematics at Ohio State University.
Anand Pillay is a British mathematician and logician working in model theory and its applications in algebra and number theory.
Hiroshi Umemura was a Japanese mathematician and honored professor at Nagoya University. He was a prominent figure in the field of algebraic geometry and differential equations.
Leonid Iosifovich Vainerman is a Ukrainian and French mathematician, professor emeritus at University of Caen Normandy. Vainerman's research results are in functional analysis, ordinary differential equations, operator theory, topological groups, Lie groups, and abstract harmonic analysis. In the 1970s, he co-developed Pontryagin-style dualities for non-commutative topological groups, a set of results that served as a precursor for the modern theory of quantum groups.
