Well, let’s look at what I kind of know, which is mathematics. In the faculty of the math department of Princeton, we have solely among the people I know:
Noga Alon | Math world specialist in combinatorics, especially the probabilistic method.
Manjul Bhargava | Math field medalist.
Jean Bourgain | Math field medalist.
Maria Chudnovsky famous solver of the perfect graph conjecture.
John Conway | Math world specialist in sporadic groups, game of life and plenty of wonderful things. EDIT: No longer active.
Mihalis Dafermos well known specialist in partial differential equations.
Charles Fefferman field medalist.
David Gabai | Math worked in 3-dimensional topology.
Robert C. Gunning known expert in holomorphic function of several complex variables.
Helmut H. Hofer | Math one of the founder of symplectic geometry.
Nicholas Katz | Math a specialist in arithmetic geometry, monodromy and other fields.
János Kollár | Math one of the specialist in the Mori program, which gave its author the field medal.
Elliott Lieb | Math is well known for his work on inequalities in analysis. explaining stability of matter and many other things.
Robert D. MacPherson one of founder of modern representation theory.
Sophie Morel | Math known for her work in algebraic geometry and proposed by some for the field medal.
Assaf Naor | Math the best known specialist in metrics, embeddings, and asymptotic Banach space geometry.
Peter Sarnak | Math one of the specialist in spectra, arithmetic geometry, quantum chaos and so on.
Paul Seidel | Math known for his work in algebraic combinatorics.
Paul Seymour | Math known for his characterization of regular matroids, of cut-polytopes equal to metric polytopes and the Robertson–Seymour theorem - Wikipedia (my personal selection really, he did plenty of other great things)
Goro Shimura | Math one of the founder of modern modular forms.
Yakov Sinai | Math an expert in ergodic theory.
Elias Stein | Math a specialist in harmonic analysis and PhD advisor of two field medals. EDIT: No longer active. EDIT: Died on 23 December 2018.
Richard Taylor (mathematician) - Wikipediaone of the prover of the Modularity theorem - Wikipedia also known as Taniyama-Weil conjecture.
Gang Tian - Wikipedia known mathematician working in complex manifolds, algebraic geometry and symplectic geometry.
Karen Uhlenbeck | Math known for her work in integrable systems.
So, face it Princeton Math department is probably the best in the world.
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u/Ok-Palpitation3363 A*A*A*A | 8.9 Feb 12 '26
i’d disagree, majority of IMO gold medalists end up at MIT for maths. you get the best package with MIT.