My research concerns topics which present challenges and opportunities for Analysis and Probability Theory,
which are however motivated by their relevance for Physics.
The work has benefitted from the mix of perspectives which the different fields provide and an appreciation of the links between their basic concepts and problems.
Specific areas of current research include:

Spectra and Dynamics of Random Operators

Critical behavior in critical dimensions
(with possible implications for specific field theories)
 Disorder effects in Statistical Mechanics
Last updated: June 5, 2013