Alexander A. Kiselev (born 1969) is an American mathematician, specializing in spectral theory, partial differential equations, and fluid mechanics.
[1] Alexander Kiselev received his bachelor's degree in 1992 from Saint Petersburg State University and his PhD in 1997 from Caltech under supervision of Barry Simon.
Between 1998 and 2002 he was an E. Dickson Instructor and then assistant professor at the University of Chicago where he worked with Peter Constantin on reaction-diffusion equations and fluid mechanics.
In 2001, Kiselev solved one of the Simon problems, on existence of imbedded singular continuous spectrum of the Schrödinger operator with slowly decaying potential.
His research has been profiled by Science Watch, [6] Institute for Mathematics and its Applications,[7] Duke Today [8] and Quanta Magazine [9]