Dimitri Gioev

After receiving his Ph.D. from the Royal Institute of Technology in Stockholm in 2001, Gioev held a position at the University of Pennsylvania and a visiting position at the Courant Institute at New York University. While at Courant, Gioev, working with Percy Deift, solved the universality conjecture for large random matrices from orthogonal and symplectic ensembles in great generality. For certain, special orthogonal and symplectic ensembles, the limiting correlations between the eigenvalues were already known in terms of the so-called sine kernel. This limiting behavior appears in many problems from nuclear physics to number theory. The universality conjecture states that the limiting eigenvalue correlations are described in terms of precisely the same sine kernel for the general class of orthogonal and symplectic ensembles. This work explains why the sine kernel appears in so many situations.

Gioev joined the department in the fall of 2005.