Our group has made the following main contributions over the past two decades:
We established the field of Lagrangian Coherent Structures (LCS), an active research area currently pursued by a number of groups around the world, which seeks to understand and leverage coherence in unsteady fluid flows.
We developed and verified the kinematic theory of aerodynamic separation for two- and three-dimensional unsteady flows.
We developed the Energy-Phase Method, a mathematical technique to detect chaotic behavior caused by resonances in physical systems. We summarized this theory in a monograph entitled Chaos Near Resonance (Springer, 1999).
Prof. George Haller built up and directed Morgan Stanley's Mathematical Modeling Center in Budapest (2006–2009), heading the development of one of the first dynamic models for mortgage-backed securities following the 2007–2008 credit crunch.