Alexander Kiselev (mathematician)

From Wikipedia, the free encyclopedia

Alexander A. Kiselev (born 1969) is an American mathematician, specializing in spectral theory, partial differential equations, and fluid mechanics.[1]

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 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.[2][3] [4][5] 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, [6] Institute for Mathematics and its Applications,[7] Duke Today [8] and Quanta Magazine [9]

Awards and honors[]

Publications[]

  • "Alexander Kiselev: Google Scholar Profile". Google Scholar. Retrieved 2019-05-20.

References[]

  1. ^ "Alexander Kiselev (home page)". Mathematics Department, Duke University. Retrieved 2019-05-20.
  2. ^ Simon, Barry (2000). "Schrödinger Operators in the Twenty-First Century". Mathematical Physics 2000. Imperial College London. pp. 283–288. doi:10.1142/9781848160224_0014. ISBN 978-1-86094-230-3.
  3. ^ "Simon's Problems". Wolfram MathWorld. Retrieved 2019-05-20.
  4. ^ Kiselev, A. (2001). "Imbedded Singular Continuous Spectrum for Schrödinger Operators". arXiv:math/0111200.
  5. ^ Kiselev, Alexander (2005). "Imbedded singular continuous spectrum for Schrödinger operators". Journal of the AMS. 18 (3): 571–603. arXiv:math/0111200. doi:10.1090/S0894-0347-05-00489-3. S2CID 7877125.
  6. ^ "The SQG Equation". ScienceWatch Archive. Retrieved 2019-05-20.
  7. ^ "The Importance of Chemotaxis to the Health of Coral Colonies". Institute for Mathematics and Its Applications. Retrieved 2019-05-20.
  8. ^ "Mixing It Up". Duke Today. Retrieved 2019-05-20.
  9. ^ "For Fluid Equations, a Steady Flow of Progress". Quanta Magazine.
  10. ^ "Past Sloan Fellows". Alfred P. Sloan Foundation. Retrieved 2019-05-20.
  11. ^ "Alexander Kiselev". John Simon Memorial Guggenheim Foundation. Retrieved 2019-05-20.
  12. ^ Alexander Kiselev "Small scales and singularity formation in fluid mechanics." In Proceedings of the International Congress of Mathematicians, vol. 1, p. 2. 2018.
  13. ^ "Brooke Benjamin Lectures". Mathematical Institute, Oxford University. Retrieved 2019-05-20.
  14. ^ "2020 Simons Fellows in Mathematics and Theoretical Physics Announced". Simons Foundation.

External links[]

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