Dr. Lipshutz received his PhD in Mathematics from the University of California, San Diego. At the Technion he will do research at the Faculty of Electrical Engineering. He has worked on highly demanding and challenging problems in stochastic analysis and its applications. These include his dissertation on stochastic and deterministic differential equations with delay and state constraints, as well as work on a longstanding problem of the differentiability of the stochastic flow associated with reflected diffusions in convex domains.
His research on sensitivity analysis of constrained or reflected processes may have a broad range of applications in modeling systems arising in science and engineering, as well as in operations research, biochemical reaction networks, rank-based models of market capitalization in mathematical finance and random matrices.
While at Brown University on a postdoc, he ran probability seminars and organized undergraduate workshops. Both his professors and his students considered him to be a great TA.