Professor Sandoval is a Professor in the Department of Mathematics. Her specialty is Global Analysis, which is the study of partial differential equations on abstract spaces, with particular interest in the connection between the nature of the solutions of these equations and the underlying geometry of the abstract space in question. This area has applications to many fundamental questions in mathematical physics.

Professor Sandoval particularly enjoys teaching mathematics courses that highlight the connections ot other areas of mathematics and physics such as linear algebra, multivariable calculus, and topics courses in special relativity, Lie theory, differential geometry and topology. Teaching such courses allows her to show students how mathematics can be used to solve interesting problems in the fields of engineering and physics. She is also interested in pedagogical innovations and has flipped two of her courses in linear algebra and multivariable calculus.

Prior to joining Trinity College, Professor Sandoval served as a visiting professor at Purdue University. She graduated from Yale University in 1989 with a B. A. in Mathematics. She earned a Masters of Science from the University of Michigan in 1993, and her Ph. D. in Mathematics in 1997. She also worked as a government mathematician for the Department of Energy's Energy Information Administration from 1989 to 1991. While there, she helped develop mathematical models that were used to analyze proposed revisions to the Clean Air Act of 1990, some of which eventually came into law.