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 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.[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

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. Archived from the original on 2018-03-14. 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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