Lie Groups

In 2020–21, Allen Yuan, Visitor in the School of Mathematics and a recent graduate from MIT, is studying problems in homotopy theory and algebraic topology.

I like to give a simple-sounding fact...

Edward Nelson, Member in the Schools of Mathematics (1956–59, 79–80) and Natural Sciences (1963–64, 67–68, 73–74) and Professor of Mathematics at Princeton University until his death in 2014, was an original thinker best known for successfully...

Does beauty exist in mathematics? The question concerns mathematical objects and their relations, the real subject of verifiable proofs. Mathematicians generally agree that beauty does exist in the structural beauty of theorems and proofs, even if...

The fundamental lemma has been described as a gross understatement. Says Andrew Wiles, a Visitor in the School of Mathematics and an Institute Trustee, “At first, it was thought to be a minor irritant, but it subsequently became clear that it was not a lemma but rather a central problem in the field.”

It has been said that the goals of modern mathematics are recon­struction and development.1 The unifying conjectures between number theory and representation theory that Robert Langlands, Professor Emeritus in the School of Mathematics, articulated...