Biography:Alexander Kiselev (mathematician)

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Short description: American mathematician

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

  • Sloan Research Fellowship, 2001[10]
  • Guggenheim Fellowship, 2012[11]
  • Invited speaker, 2018[12] International Congress of Mathematicians.
  • 12th Brooke Benjamin Lecture, Oxford University, 2019[13]
  • Simons Foundation Fellow in Mathematics, 2020[14]

Publications

References

  1. "Alexander Kiselev (home page)". https://math.duke.edu/people/alexander-kiselev. 
  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". http://mathworld.wolfram.com/SimonsProblems.html. 
  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. doi:10.1090/S0894-0347-05-00489-3. 
  6. "The SQG Equation". http://archive.sciencewatch.com/dr/fmf/2010/10novfmf/10novfmfKiseET/. 
  7. "The Importance of Chemotaxis to the Health of Coral Colonies". http://www.ima.umn.edu/impacts/coral. 
  8. "Mixing It Up". https://today.duke.edu/2017/10/alexander-kiselev-mixing-it. 
  9. "For Fluid Equations, a Steady Flow of Progress". https://www.quantamagazine.org/for-fluid-equations-a-steady-flow-of-progress-20200113. 
  10. "Past Sloan Fellows". https://sloan.org/past-fellows. 
  11. "Alexander Kiselev". https://www.gf.org/fellows/all-fellows/alexander-kiselev/. 
  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". https://www.maths.ox.ac.uk/events/special-lectures/brooke-benjamin-lecture. 
  14. "2020 Simons Fellows in Mathematics and Theoretical Physics Announced". https://www.simonsfoundation.org/2020/02/21/2020-simons-fellows-in-mathematics-and-theoretical-physics-announced/. 

External links