The Atiyah-Singer index theorem connects topology with elliptic differential operators. The brief introduction identifies it as a bridge between geometry and analysis, without developing the mathematics behind the result.
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19:11>> of this list. Uh 1963 uh Acha Singer index theorem >> uh I I think Atia maybe >> Aia Singer um this was Michael Aia and Isidor Singer at the Institute for Advanced Study. They proved the index theorem bridged topology and elliptic differential operators. I know what topology means. I don't know what the other one means, but apparently it unified geometry and analysis. I know what analysis means. Geometry, I kind of know what it means, but I don't think I know in this context. Anyways, they earned the 2004 Abel Prize in Mathematics, which is the real Nobel Prize in mathematics and apparently a very big deal
19:51>> as we referenced in our part one as