Alexander A. Kiselev (born 1969) is an American mathematician, specializing in spectral theory, partial differential equations, and fluid mechanics.
Career 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. In 1997-1998 he was a postdoctoral fellow at the Mathematical Sciences Research Institute, where he co-authored a paper on Christ–Kiselev maximal inequality. 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. He taught at the University of Wisconsin-Madison from 2002 to 2013, as an associate and full professor. He was a member of the Rice University faculty between 2013 and 2017. Since 2018, Kiselev is a William T. Laprade Professor of Mathematics at Duke University. His research has been profiled by Science Watch, Institute for Mathematics and its Applications, Duke Today and Quanta Magazine
Awards and honors Sloan Research Fellowship, 2001 Guggenheim Fellowship, 2012 Invited speaker, 2018Alexander Kiselev "Small scales and singularity formation in fluid mechanics." In Proceedings of the International Congress of Mathematicians, vol. 1, p. 2. 2018. International Congress of Mathematicians. 12th Brooke Benjamin Lecture, Oxford University, 2019 Simons Foundation Fellow in Mathematics, 2020
Publications
References
External links Alexander Kiselev: Small scales and singularity formation in fluid dynamics on YouTube (17 October 2018) Alexander Kiselev: Singularity formation in models of fluid mechanics on YouTube (11 July 2017) Alexander Kiselev: Reaction enhancement by chemotaxis, National Science Foundation, Mathematical Sciences Institutes (16 October 2014)