The work of June Huh

  • Gil Kalai

    Hebrew University of Jerusalem, Jerusalem, Israel, and Reichman University, Herzliya, Israel
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June Huh found striking connections between algebraic geometry and combinatorics, solved central problems in combinatorics that had remained open for decades, and developed a theory of great importance for both fields. June Huh has been awarded the 2022 Fields Medal “for bringing the ideas of Hodge theory to combinatorics, the proof of the Dowling–Wilson conjecture for geometric lattices, the proof of the Heron–Rota–Welsh conjecture for matroids, the development of the theory of Lorentzian polynomials, and the proof of the strong Mason conjecture.” In this paper I will review some of June Huh’s contributions.