Soheyla Feyzbakhsh for her impressive results in algebraic geometry, with relevant implications for mathematical physics, in particular string theory. In addition to completing and generalizing Mukai's program on K3 surfaces, she has introduced innovative methods in enumerative geometry, using stability conditions on derived categories, leading to spectacular results for Calabi-Yau 3-folds. In particular, Feyzbakhsh's work establishes that Donaldson- Thomas (DT) theory in any rank is governed by rank one theory, and thus Gromov- Witten (GW) invariants. Moreover, she shows that DT and GW invariants are determined by rank zero DT invariants. The medal also acknowledges the far- reaching impact that these results are going to have on both enumerative algebraic geometry and mathematical physics.
Pierrick Bousseau for the originality, complexity, and relevance of his remarkable contributions in enumerative algebraic geometry and mirror symmetry, and their profound implications for mathematical physics. These include connections between refined tropical curve counts and higher genus log Gromov-Witten counts of toric surfaces; a proof of the Takahashi conjecture via a new sheaf/curve correspondence; substantial contributions to holomorphic Floer theory and its relation to Donaldson-Thomas theory; the extension of the log-local principle in Gromov-Witten theory to all genera and to Looijenga pairs; and a remarkable advance in the solution of the Gromov-Witten theory of smooth complete intersections.
Selection Committee
Amol Aggarwal, for his impressive contribution in integrable probability, random matrix theory and moduli spaces. In particular he has established the local Gibbs measure and the fluctuation around the limit shape in a class of random Lozenge tiling models. By mastery subtle asymptotic combinatorial analysis, he has obtained large genus asymptotics for Siegel-Veech constants, for intersection numbers and for volumes of strata of Abelian and quadratic differentials;
Pavlo Gavrylenko, for his work connecting isomonodromic τ-functions of Painleve equations to conformal blocks of Virasoro algebra/Nekrasov partition functions and for generalizing these results to higher rank systems, to systems on the torus and to q-difference Painleve’ equations;
Georg Oberdieck, for his extraordinarily masterful and creative cycle of papers on the enumerative geometry of Hilbert schemes in K3 surfaces, and related manifolds, culminating in his paper on holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface.
Edition 2020
SISSA extends its congratulations to this year’s prize winners and for their continued contributions to mathematics.