He is a professor of mathematics at the University of Texas at Austin, where he is a W. A.
"Tex" Moncrief, Jr. Simulation-Based Engineering and Sciences Professor and Frank E. Gerth III Faculty Fellow.
His research concerns the numerical analysis of partial differential equations.
[1] Arbogast did his undergraduate studies at the University of Minnesota, in mathematics and physics, graduating in 1981.
[1] He received his Ph.D. in mathematics from the University of Chicago in 1987 under the supervision of Jim Douglas, Jr.[2] In 2012, Arbogast became a Fellow of the American Mathematical Society.