Alexander Kiselev | Academic Influence

Alexander Kiselev 's AcademicInfluence.com Rankings

Alexander Kiselev

Mathematics

#7360

World Rank

#10023

Historical Rank

#2041

USA Rank

Measure Theory

#3168

World Rank

#3753

Historical Rank

#920

USA Rank

mathematics Degrees

Download Badge

Mathematics

Alexander Kiselev 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Moscow State University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Alexander Kiselev Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Alexander A. Kiselev 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

(See a Problem?)

Alexander Kiselev 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Global well-posedness for the critical 2D dissipative quasi-geostrophic equation (2006) (461)
Maximal Functions Associated to Filtrations (2001) (417)
Diffusion and mixing in fluid flow (2005) (216)
Small scale creation for solutions of the incompressible two dimensional Euler equation (2013) (203)
Modified Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional Schrödinger Operators (1998) (190)
Blow up and regularity for fractal Burgers equation (2008) (177)
Variation on a theme of caffarelli and vasseur (2009) (144)
Bulk Burning Rate in¶Passive–Reactive Diffusion (1999) (132)
Biomixing by Chemotaxis and Enhancement of Biological Reactions (2011) (118)
Absolutely continuous spectrum for one-dimensional Schrodinger operators with slowly decaying potentials: Some optimal results (1997) (99)
Finite time singularity for the modified SQG patch equation (2016) (96)
Regularity and Blow up for Active Scalars (2010) (94)
Enhancement of the traveling front speeds in reaction-diffusion equations with advection (2000) (89)
Nonlocal maximum principles for active scalars (2010) (88)
Suppression of Chemotactic Explosion by Mixing (2015) (85)
Uniqueness Results for Matrix-Valued Schrodinger, Jacobi, and Dirac-Type Operators (2000) (81)
Classical interaction potentials for diverse materials from ab initio data: a review of potfit (2014) (74)
Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows (2013) (72)
Global Regularity for the Fractional Euler Alignment System (2017) (70)
Dynamical upper bounds on wavepacket spreading (2001) (69)
Rank One Perturbations with Infinitesimal Coupling (1995) (68)
Finite Time Blow Up for a 1D Model of 2D Boussinesq System (2013) (68)
Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case (2012) (65)
Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials (1996) (62)
WKB Asymptotic Behavior of Almost All Generalized Eigenfunctions for One-Dimensional Schrödinger Operators with Slowly Decaying Potentials (2001) (59)
Flame enhancement and quenching in fluid flows (2002) (59)
Global well-posedness of slightly supercritical active scalar equations (2012) (56)
ON THE FINITE-TIME BLOWUP OF A 1D MODEL FOR THE 3D AXISYMMETRIC EULER EQUATIONS (2014) (55)
Quenching of flames by fluid advection (2000) (50)
Local Regularity for the Modified SQG Patch Equation (2015) (49)
Transfer matrices and transport for Schrödinger operators (2004) (48)
On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations (2017) (47)
Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation (2009) (47)
Solutions, Spectrum, and Dynamica for Schr\"odinger Operators on Infinite Domains (1999) (46)
On Discrete Models of the Euler Equation (2005) (45)
Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss (2005) (44)
Spectral Properties of Schr\"odinger Operators with Decaying Potentials (2005) (44)
Quenching of reaction by cellular flows (2005) (42)
Scattering and Wave Operators for One-Dimensional Schrödinger Operators with Slowly Decaying Nonsmooth Potentials (2001) (42)
The explosion problem in a flow (2009) (40)
WKB and Spectral Analysis¶of One-Dimensional Schrödinger Operators¶with Slowly Varying Potentials (2001) (37)
Effective Perturbation Methods for One-Dimensional Schrödinger Operators (1999) (35)
Imbedded singular continuous spectrum for Schrodinger operators (2001) (33)
Global well-posedness for a slightly supercritical surface quasi-geostrophic equation (2011) (31)
A Simple Energy Pump for the Surface Quasi-geostrophic Equation (2011) (30)
Quenching of combustion by shear flows (2004) (29)
Finite time blow up in the hyperbolic Boussinesq system (2016) (28)
Blow up for the 2D Euler Equation on Some Bounded Domains (2014) (28)
Some Examples in One-Dimensional “Geometric” Scattering on Manifolds (1997) (25)
Stability of singular spectral types under decaying perturbations (2001) (25)
Functional model for extensions of symmetric operators and applications to scattering theory (2017) (24)
Finite time singularity formation for the modified SQG patch equation (2015) (23)
Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces (2017) (23)
Relaxation Enhancement by Time-Periodic Flows (2007) (22)
Effective Behaviour of Critical-Contrast PDEs: Micro-resonances, Frequency Conversion, and Time Dispersive Properties. I (2018) (21)
Norm-Resolvent Convergence of One-Dimensional High-Contrast Periodic Problems to a Kronig–Penney Dipole-Type Model (2015) (20)
Isospectrality for graph Laplacians under the change of coupling at graph vertices (2014) (19)
Fronts in reactive convection: Bounds, stability, and instability (2002) (19)
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media (2018) (18)
Small-scale creation for solutions of the SQG equation (2019) (18)
Time-Dispersive Behavior as a Feature of Critical-Contrast Media (2018) (17)
Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics (2018) (17)
SOME RECENT RESULTS ON THE CRITICAL SURFACE QUASI-GEOSTROPHIC EQUATION : A REVIEW (2009) (17)
Confirmation of the random tiling hypothesis for a decagonal quasicrystal. (2012) (17)
Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and a.e. convergence of integral operators (1998) (15)
Scattering theory for non-selfadjoint extensions of symmetric operators (2017) (14)
Absolutely continuous spectrum of perturbed Stark operators (1997) (14)
Trace formulae for graph Laplacians with applications to recovering matching conditions (2014) (14)
Absolutely continuous spectrum of Stark operators (2001) (13)
Transfer matrices and transport for 1 D Schrödinger operators with singular spectrum (2003) (12)
Nonself-adjoint operators with almost Hermitian spectrum: matrix model. I (2006) (12)
An upper bound for the bulk burning rate for systems (2000) (12)
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials (1997) (11)
Laser ablation of Al–Ni alloys and multilayers (2016) (10)
Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics (2018) (10)
ISOSPECTRALITY FOR GRAPH LAPLACIANS UNDER THE CHANGE OF COUPLING AT GRAPH VERTICES: NECESSARY AND SUFFICIENT CONDITIONS (2014) (10)
Global regularity and fast small-scale formation for Euler patch equation in a smooth domain (2018) (10)
WKB Asymptotics Of Generalized Eigenfunctions Of One-Dimensional Schr?dinger Operators (2000) (10)
Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators (2008) (10)
Preservation of the absolutely continuous spectrum of Schr\"odinger equation under perturbations by slowly decreasing potentials and a.e. convergence of integral operators (1996) (9)
ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH SLOWLY DECAYING POTENTIALS : SPECTRA AND ASYMPTOTICS OR BABY FOURIER ANALYSIS MEETS TOY QUANTUM MECHANICS (2001) (9)
The Flow of Polynomial Roots Under Differentiation (2020) (8)
A simple model for asset price bubble formation and collapse (2010) (8)
Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation (2016) (8)
Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions (2014) (7)
SOME SPECTRAL PROPERTIES OF THE NON-SELF-ADJOINT FRIEDRICHS MODEL OPERATOR (2005) (6)
An interpolation theorem related to the a.e. convergence of integral operators (1996) (6)
Nonself-adjoint operators with almost Hermitian spectrum: Cayley identity and some questions of spectral structure (2009) (6)
Small Scale Formations in the Incompressible Porous Media Equation (2021) (5)
Higher moments in a model of zero-width slits (1991) (5)
Small Scale Creation in Active Scalars (2020) (5)
Nonself-Adjoint Operators with Almost Hermitian Spectrum: Weak Annihilators (2004) (5)
FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS (2019) (5)
Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials (2009) (4)
Small scale formation for the 2D Boussinesq equation (2022) (4)
Analysis of a singular Boussinesq model (2018) (4)
Approximate Eigenvectors and Spectral Theory (4)
The Similarity Problem for Non-selfadjoint Operators with Absolutely Continuous Spectrum: Restrictions to Spectral Subspaces (2011) (3)
On the Resolvent Estimates for the Generators of Strongly Continuous Groups in the Hilbert Spaces (2002) (3)
Operator-norm resolvent asymptotic analysis of continuous media with low-index inclusions. (2020) (3)
Indefinite metric and scattering by a domain with a small hole (1995) (2)
Chemotaxis and Reactions in Biology (2020) (2)
Molecular Dynamics Simulations of Silicon: The Influence of Electron-Temperature Dependent Interactions (2016) (2)
Global Regularity for a Nonlocal PDE Describing Evolution of Polynomial Roots Under Differentiation (2022) (2)
Functional model for boundary value problems and its application to the spectral analysis of transmission problems (2019) (2)
Progress in Mathematical Fluid Dynamics (2020) (2)
Functional Model for Singular Perturbations of Non-self-adjoint Operators (2007) (2)
Studying laser ablation with molecular dynamics simulations: From metals to covalent materials (2016) (2)
Random Search in Fluid Flow Aided by Chemotaxis (2021) (1)
MAXIMAL FUNCTIONS ASSOCIATED TO FILTRATIONSMICHAEL CHRIST AND (2007) (1)
ON INVERSE TOPOLOGY PROBLEM FOR LAPLACE OPERATORS ON GRAPHS (2014) (1)
UNIFIED APPROACH TO CRITICAL-CONTRAST HOMOGENISATION OF PDES WITH EXPLICIT LINKS TO TIME-DISPERSIVE MEDIA. I (2018) (1)
EIC detector simulations in FairRoot framework (2013) (1)
Molecular dynamics simulations of laser ablation in covalent materials (2017) (1)
Scattering theory for a class of non-selfadjoint extensions of symmetric operators (2020) (1)
Some Examples in One – dimensional “ Geometric ” Scattering (1996) (1)
GLOBAL WELL-POSEDNESS OF SLIGHTLY SUPERCRITICAL ACTIVE SC ALAR EQUATIONS (2012) (1)
On Nonexistence of Splash Singularities for the α-SQG Patches (2021) (1)
Phase transition in a periodic tubular structure (2023) (1)
Stirring speeds up chemical reaction (2021) (1)
STABILITY OF BLOW UP FOR A 1 D MODEL OF AXISYMMETRIC 3 D (2016) (1)
Illposedness of $C^{2}$ vortex patches (2022) (1)
Diffusion and Mixing in Fluid Flow: A Review (2009) (0)
Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation (2016) (0)
Enhancement of combustion by drift in a coupled reaction-diffusion model (2005) (0)
Suppression of Chemotactic Explosion by Mixing (2016) (0)
Quenching of reaction by fluid flow (2005) (0)
Chemotactic Reaction Enhancement in One Dimension (2021) (0)
Some recent results on 2 D surface quasi-geostrophic equation (2008) (0)
OPE coefficient functions in terms of composite operators only. Singlet case (2011) (0)
ON CAYLEY IDENTITY FOR SELF-ADJOINT OPERATORS IN HILBERT SPACES (2011) (0)
QUENCHING OF FLAMES BY FLUID (2000) (0)
Analysis of a singular Boussinesq model (2018) (0)
SQG patch equation (2016) (0)
Boundary layer models of the Hou-Luo scenario (2020) (0)
A P ] 2 1 Ju l 1 99 9 Bulk Burning Rate in Passive-Reactive Diffusion (0)
DYNAMICAL UPPER BOUNDS ON WAVEPACKET (2001) (0)
Challenges in the US EIC Detector and Interaction Region Design (2019) (0)
Global Regularity for the Fractional Euler Alignment System (2017) (0)
SP ] 1 0 D ec 2 00 1 DYNAMICAL UPPER BOUNDS ON WAVEPACKET SPREADING (2021) (0)
Small Scale Creation in Inviscid Fluids (2017) (0)
Suppression of chemotactic singularity by buoyancy (2023) (0)
The Erwin Schrr Odinger International Institute for Mathematical Physics Some Examples in One{dimensional \geometric" Scattering Some Examples in One-dimensional \geometric" Scattering (1996) (0)
Ju l 2 01 7 GLOBAL REGULARITY FOR 1 D EULERIAN DYNAMICS WITH SINGULAR INTERACTION FORCES (2021) (0)
Baseline design of an eRHIC Detector and Interaction Region (2014) (0)
Finite Time Blow Up for a 1D Model of 2D Boussinesq System (2014) (0)
There are Still Many Accomplishments to achieve (2009) (0)
Detailed study of non-stationary elastic wavefields produc ed by an apodized normal transducer. Comparisons between asymptotics and numerical results (2003) (0)
Difiusion and mixing in ∞uid ∞ow (2008) (0)
The 3D Euler and 2D surface quasi-geostrophic equations (2019) (0)
SINGULAR CONTINUOUS SPECTRUM FOR SCHRÖDINGER OPERATORS (2003) (0)
A P ] 2 2 A pr 2 01 6 SUPPRESSION OF CHEMOTACTIC EXPLOSION BY MIXING (0)

This paper list is powered by the following services:

Other Resources About Alexander Kiselev

en.wikipedia.org

What Schools Are Affiliated With Alexander Kiselev ?

Alexander Kiselev is affiliated with the following schools: