Troy Butler is a professor of mathematical and statistical sciences at the University of Colorado Denver. His research interests are primarily in uncertainty quantification with an emphasis on using measure theory for the rigorous formulation and solution of stochastic inverse problems.

The theory and algorithms developed by his research group are useful across a broad range of applications. Past and current collaborations include research scientists at several DOE laboratories as well as aerospace, civil, and electrical engineers at other institutions. These collaborations have led to his research being applied to many specific application areas including storm surge from hurricanes and tropical cyclones, subsurface contaminant transport, integrity of concrete structures in acidic environments, and computational electromagnetics.