User:Emhorjus/sandbox

Richard H. Stockbridge is a professor of Mathematics at the University of Wisconsin-Milwaukee. He has made contributions to research in applied probability and stochastic control theory. Most notably, he along with Professors Thomas G. Kurtz, Kurt Helmes, and Chao Zhu, developed the methodology of using linear programming for solving stochastic control problems.

Education
Professor Stockbridge obtained his Ph.D. from the University of Wisconsin-Madison under the supervision of Thomas G. Kurtz with a dissertation on "Time-Average Control of Martingale Problems". He also holds a Master's Degree in Mathematics from the University of Wisconsin-Madison and attended St. Lawrence University in Canton, NY for his B.S.

Academic career
Following the awarding of his Ph.D., Stockbridge held the position of assistant professor in the Department of Mathematics and Statistics at Case Western Reserve University from 1987-88. He then took a visiting position at the University of Kentucky leading to an assistant professorship at the University of Kentucky which he held until 2000 before moving to the University of Wisconsin-Milwaukee where he currently holds a tenured faculty position as a full professor.

Research
Professor Stockbridge's research is focused on developing linear programming techniques in stochastic control. These method give an alternative formulation to the traditional dynamic programming framework used in stochastic control problems and have been demonstrated in examples including control of the running maximum of a diffusion,[1] optimal stopping problems,[2] and regime-switching diffusions.[3]

Through the completion of his PhD dissertation, Stockbridge examined the relationship between long-term average stochastic control problems given a continuous and absolute control, and linear programs spanning the space of stationary distributions for that controlled process, ultimately concluding their equivalence. This dissertation, published in The Annals of Probability, served as a basis for the majority his subsequent work.

Following his Graduate studies, Stockbridge helped expand the applications of this equivalence between linear programming and stochastic control problems.