In my Ph.D. dissertation and later work, I studied differential equations that govern the motion of nonlinearly suspended structures, such as suspension bridges.
More recently, my research has focused on qualitative and quantitative properties of solutions to differential equations and freeâboundary problems that arise in insurance and finance. This was a natural way for me to integrate my Ph.D. training in differential equations with my experience working as an actuary in the early part of my career.
In addition, I direct the Industry Partnership Program (IPP) at the University of Michigan. Under the IPP, University of Michigan actuarial students and faculty collaborate with an Industry Partner such as an insurance company or consulting irm in order to bring academics and practitioners together to work on actuarial problems that are directly relevant to industry.
