Professor Walter works in two areas: 1) explaining relationships between mathematics and environmental subjects, and how each can be used to educate the public about the other -- as exemplified in the 2011 book (and second edition to appear 2020), ``Mathematics for the Environment,'' and in the article on ``Earthquakes and Weatherquakes: Mathematics and Climate Change'' published in the November 2010 issue of the Notices of the American Mathematical Society; and 2) order structures, operators algebras, group duality, and group representation theory.
keywords
operator algebras, order structures, group theory, representation theory, group duality, noncommutative harmonic analysis, environmental modeling, mathematical, environmental education, mathematics of climate disruption, financial crises, ecological economics, pollution, media literacy