Alexander Kiselev, Assistant Professor in Mathematics, will receive $303,000 to support his analysis of Schr–dinger operators, the cornerstone of quantum mechanics, and his study of mathematical models of combustion processes.

In combustion, Kiselev studies the influence of the fluid flow on the chemical reaction process. Fluid flow phenomena are relevant to many applications in engineering and nature, from internal combustion engines to nuclear burning in stars.

Shankar Venkataramani, Assistant Professor in Mathematics, will receive $306,200 over the next five years to support his research on multiple-scale behaviors in nonlinear systems.

Venkataramani will study these phenomena, which exhibit different behaviors on different scales, in a mathematical setting through problems that arise in material science and physics. Venkataramani aims to merge various approaches to these problems and to develop new ways of thinking about multi-scale problems.