Alex Eskin

Studies the large-scale geometry of spaces with symmetries. Uses ergodic and geometric methods to obtain asymptotic results for counting problems in areas such as diophantine equations, diophantine inequalities, quantum chaos, and billiards. Obtained bounds for the number of branched coverings of a torus and computed the volume of the moduli spaces of pairs of curves and holomorphic differentials. Obtained results on quasi-isometric rigidity of non-nilpotent polycyclic groups. He was awarded a Packard Fellowship and a Clay Foundation Research Award.