Alexander Kiselev (mathematician)
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Alexander A. Kiselev (born 1969) is an
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
mathematician, specializing in spectral theory,
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s, and fluid mechanics.


Career

Alexander Kiselev received his bachelor's degree in 1992 from
Saint Petersburg State University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...
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 In mathematics, the Christ–Kiselev maximal inequality is a maximal inequality for filtrations, named for mathematicians Michael Christ and Alexander Kiselev.M. Christ, A. Kiselev, Maximal functions associated to filtrations. J. Funct. Anal. 1 ...
. 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 Peter may refer to: People * List of people named Peter, a list of people and fictional characters with the given name * Peter (given name) ** Saint Peter (died 60s), apostle of Jesus, leader of the early Christian Church * Peter (surname), a sur ...
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 Duke University is a private research university in Durham, North Carolina. Founded by Methodists and Quakers in the present-day city of Trinity in 1838, the school moved to Durham in 1892. In 1924, tobacco and electric power industrialist James ...
. 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 Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...
, 2012 * Invited speaker, 2018
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
. * 12th
Brooke Benjamin Thomas Brooke Benjamin, FRS (15 April 1929 – 16 August 1995) was an English mathematical physicist and mathematician, best known for his work in mathematical analysis and fluid mechanics, especially in applications of nonlinear differential eq ...
Lecture, Oxford University, 2019 * Simons Foundation Fellow in Mathematics, 2020


Publications

*


References


External links

* * * {{DEFAULTSORT:Kiselev, Alexander University of Wisconsin–Madison faculty Duke University faculty Mathematical analysts 20th-century American mathematicians 21st-century American mathematicians Rice University faculty Complex analysts Fluid dynamicists 1969 births Living people Saint Petersburg State University alumni Russian emigrants to the United States Sloan Research Fellows