Understand the contribution of the master, first understand the master isador? A singer's life, isador? Isadore Singe (1924-2021February 1 1), an American mathematician, graduated from the University of Chicago.
Isador. Singer is studying physics at the University of Michigan. Due to the outbreak of World War II, Singer, who only attended college for two and a half years, hastily graduated and joined the US Army as a radar technician, stationed in the Philippines. After World War II, Singh came to the University of Chicago and applied for the Department of Mathematics. Later, he applied for a Ph.D. in the Department of Mathematics at the University of Chicago. His tutor was China mathematician Chen Shengshen. After receiving his Ph.D. from the University of Chicago, Singh went to MIT as a postdoctoral fellow. 198 1 year, Singh and Chen Shengshen established the National Institute of Mathematical Sciences (MSRI). ?
Contribution to that development of mathematic
Isador. Singer studied under China mathematician Chen Shengshen and Michael, a famous mathematician who claimed to have proved Riemann conjecture. Atia put forward the Atia-Singer index theorem. Isador in 2004? Singh and Michael? Atia won the Abel Prize for Atia-Singer Exponential Theorem. ?
1962, when Singh was on vacation at Oxford University, Michael? Atia and Singer cooperated to find a solution, and applied topological tools to differential equations. Specifically, they figured out how to define the Dirac operator on the spin manifold, that is, the solution of the equation can be calculated without the exact value of the equation. This is Atiyah-Singer index theorem: for elliptic differential operators on compact manifolds, the analytic index (related to the dimension of solution space) is equal to the topological index (defined by some topological data). This result bridges the gap between topology and analysis.
Evaluate the contribution of isador, a master of mathematics? Singh and Michael? When Atia won the Abel Prize for this theorem, the Norwegian Academy of Sciences gave these two evaluations:? They discovered and proved this theorem, combined topology with geometry, built a bridge between mathematics and theoretical physics, and played an outstanding role. ?
New york University mathematician Jeff Chegg commented:? He changed people's views on mathematics, and he showed that seemingly different fields are deeply related. ?
Mathematicians' contribution to mathematics is their contribution to the world.
Master, have a good trip.