June Huh

Papers

Total Citations

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About

June Huh is a mathematician whose groundbreaking work in combinatorics and algebraic geometry earned him the Fields Medal in 2022. His research primarily focuses on the intersection of combinatorics, algebraic geometry, and Hodge theory, where he has developed powerful new frameworks for understanding polynomial structures. Huh’s most celebrated contribution is his proof of the long-standing Rota–Welsh conjecture, which he resolved by establishing the log-concavity of the coefficients of the characteristic polynomial for matroids. This work, along with his subsequent proof of the Heron–Rota–Welsh conjecture, revolutionized the field by introducing Hodge-theoretic methods into combinatorics. His papers have garnered thousands of citations, reflecting their profound impact on both pure and applied mathematics. Notably, Huh’s 2012 paper "Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs" laid the foundation for his later breakthroughs. A professor at Princeton University and the Institute for Advanced Study, Huh is celebrated for his elegant, cross-disciplinary approach that bridges abstract theory with concrete combinatorial problems, inspiring a new generation of mathematicians to explore the deep connections between geometry and discrete mathematics.