Research AreasFunctional Analysis / Operator Theory
Office: AP&M 5210
Ph.D., Mathematics, University of California, Los Angeles, 2007
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.
International Congress of Mathematicians Speaker - 2018, 2018
European Math Society Prize, 2011
Clay Research Fellowship, 2010
Alfred P. Sloan Research Fellowship, 2012
NSF CAREER Award, 2013