Mathematics

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. 

 

Gaetan Borot from the  Max Planck Institute for Mathematics, Bonn, is awarded the Dubrovin medal in recognition of his numerous and wide-ranging contributions to the theory of topological recursion leading to the proof of the Bouchard-Marino conjecture and to several applications to geometry and mathematical physics in the area of integrable systems.

 

Alexandr Buryak from the Higher School of Economics, Moscow, is awarded the Dubrovin medal in recognition of his results in the proof of the polynomiality of the Dubrovin–Zhang hierarchy in relation with the double ramification hierarchy, in the analysis of the double-ramification cycles and his contributions to the theory of moduli spaces of open Riemann surfaces.

 

SISSA extends its congratulations to this year’s prize winners and for their continued contributions to mathematics.

 

SISSA thanks the sponsors Ernesto Illy Foundation and SISSA Medialab.