adrian ioana received his ph.d. from ucla in 2007 under the direction of sorin popa. he spent a subsequent year as a taussky-todd instructor at caltech where he taught a graduate course on functional analysis. he spent 2008-2011 at ucla under the auspices of a clay research fellowship.

ioana is an expert in two fields. one field is von neumann algebras, an area which emerged from quantum mechanics in the mid-1930s, and the other is ergodic theory, the study of "volume" preserving dynamics which emerged from statistical physics about 100 years ago. ioana interacts with analysis, functional analysis, and algebra.