Niky Kamran | Academic Influence

Niky Kamran's AcademicInfluence.com Rankings

Niky Kamran

Mathematics

#2060

World Rank

#3238

Historical Rank

Group Theory

#222

World Rank

#262

Historical Rank

Number Theory

#335

World Rank

#416

Historical Rank

Algebra

#557

World Rank

#736

Historical Rank

mathematics Degrees

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Mathematics

Niky Kamran's Degrees

PhD Mathematics University of British Columbia
Masters Mathematics University of British Columbia
Bachelors Mathematics University of British Columbia

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Why Is Niky Kamran Influential?

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According to Wikipedia, Niky Kamran is a Belgian and Canadian mathematician whose research concerns geometric analysis, differential geometry, and mathematical physics. He is a James McGill Professor in the Department of Mathematics and Statistics at McGill University.

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Niky Kamran'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

An extended class of orthogonal polynomials defined by a Sturm-Liouville problem (2008) (302)
An extension of Bochner's problem: Exceptional invariant subspaces (2008) (221)
Dynamics with infinitely many derivatives: The Initial value problem (2007) (192)
Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra (1986) (155)
Lie algebras of vector fields in the real plane (1992) (152)
Exceptional orthogonal polynomials and the Darboux transformation (2010) (144)
Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators (1993) (132)
Decay of Solutions of the Wave Equation in the Kerr Geometry (2005) (129)
Two-step Darboux transformations and exceptional Laguerre polynomials (2011) (114)
Lie algebras of differential operators and Lie-algebraic potentials (1990) (106)
On orthogonal polynomials spanning a non-standard flag (2011) (88)
Internal, External, and Generalized Symmetries (1993) (85)
The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry (2000) (81)
The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane (1997) (79)
The local equivalence problem for $d^2 y/dx^2=F(x,y,dy/dx)$ and the Painlevé transcendents (1985) (71)
A Conjecture on Exceptional Orthogonal Polynomials (2012) (70)
Dynamics with infinitely many derivatives: variable coefficient equations (2008) (68)
Lie algebras of differential operators in two complex variables (1992) (66)
On Differential Equations Describing Pseudo-Spherical Surfaces (1995) (63)
Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry (1999) (60)
Classification of second-order ordinary differential equations admitting Lie groups of fibre-preserving point symmetries (1989) (59)
Exhaustive integration and a single expression for the general solution of the type D vacuum and electrovac field equations with cosmological constant for a nonsingular aligned Maxwell field (1984) (59)
Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr–Newman Black Hole Geometry (2001) (58)
The inverse problem of the calculus of variations (2002) (57)
Separation of variables and symmetry operators for the neutrino and Dirac equations in the space‐times admitting a two‐parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences (1984) (57)
REPLY TO COMMENT: Reply to comment on 'The Darboux transformation and algebraic deformations of shape-invariant potentials' (2003) (57)
Quasi-exactly solvable Lie algebras of differential operators in two complex variables (1991) (53)
Supersymmetry and algebraic Darboux transformations (2004) (50)
New quasi-exactly solvable Hamiltonians in two dimensions (1994) (49)
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems (1999) (48)
Symmetry operators for neutrino and Dirac fields on curved spacetime (1984) (46)
Characteristics and the Geometry of Hyperbolic Equations in the Plane (1993) (42)
Equivalence of differential operators (1989) (42)
Selected topics in the geometrical study of differential equations (2002) (38)
Characteristic cohomology of differential systems (2002) (38)
Laplace transformation in higher dimensions (1996) (35)
Quasi-Exact Solvability and the direct approach to invariant subspaces (2004) (34)
On form-preserving transformations for the time-dependent Schrödinger equation (1998) (34)
Quasi-exact Solvability (1994) (33)
An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry (2003) (30)
Differential equations and conformal geometry (2002) (30)
Non-factorizable separable systems and higher-order symmetries of the Dirac operator (1990) (28)
Erratum: Decay of solutions of the wave equation in the kerr geometry (Communications in Mathematical Physics (2006) 264 (465-503 ) doi:10.1007/s00220-006-1525-8) (2008) (27)
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles (2018) (27)
Parallel‐propagated frame along the geodesics of the metrics admitting a Killing–Yano tensor (1986) (27)
Equivalence problems for first order Lagrangians on the line (1989) (26)
A Rigorous Treatment of Energy Extraction from a Rotating Black Hole (2007) (25)
A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces (2013) (24)
The multidimensional Darboux transformation (1996) (24)
Real Lie algebras of differential operators and quasi-exactly solvable potentials (1996) (24)
Linear waves in the Kerr geometry: A mathematical voyage to black hole physics (2008) (23)
Lorentzian Einstein metrics with prescribed conformal infinity (2014) (22)
Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics (2012) (20)
The Lie Algebraic Structure of Differential Operators Admitting Invariant Spaces of Polynomials (1996) (20)
A single expression for the general solution of Einstein's vacuum and electrovac field equations with cosmological constant for Petrov type D admitting a non-singular aligned Maxwell field (1983) (17)
Non-uniqueness results for the anisotropic Calderón problem with data measured on disjoint sets (2015) (17)
On the Hidden Mechanism Behind Non-uniqueness for the Anisotropic Calderón Problem with Data on Disjoint Sets (2017) (17)
Separation of variables for the Rarita--Schwinger equation on all type D vacuum backgrounds (1985) (16)
Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time (1983) (16)
LOCAL SYMPLECTIC INVARIANTS FOR CURVES (2009) (16)
Equivalence of Higher Order Lagrangians I. Formulation and Reduction (1989) (15)
A differential geometric characterization of the first Painlevé transcendent (1987) (15)
Quasi-exact solvability in a general polynomial setting (2006) (15)
Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces (2006) (14)
Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence (1988) (14)
Quasi-exact solvability beyond the sl(2) algebraization (2006) (14)
Separation of variables and symmetry operators for the conformally invariant Klein-Gordon equation on curved spacetime (1985) (13)
Equivalence of higher-order Lagrangians. III. New invariant differential equations (1992) (13)
Projective connections, double fibrations, and formal neighbourhoods of lines (1992) (13)
Periodic systems for the higher-dimensional Laplace transformation (1998) (13)
Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces (2014) (12)
Lie Algebras of Differential Operators and Partial Integrability (1996) (12)
Equivalence of higher‐order Lagrangians. II. The Cartan form for particle Lagrangians (1989) (12)
Conservation laws and the variational bicomplex for second-order scalar hyperbolic equations in the plane (1995) (11)
Determining an asymptotically AdS Einstein spacetime from data on its conformal boundary (2015) (11)
The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility (2018) (10)
Spinors on Singular Spaces and the Topology of Causal Fermion Systems (2014) (10)
Editorial note to: Brandon Carter, Black hole equilibrium states Part I. Analytic and geometric properties of the Kerr solutions (2009) (10)
Causality and the conformal boundary of AdS space in real time holography (2012) (9)
ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA (2019) (8)
The linear dynamics of wave functions in causal fermion systems (2021) (8)
The eikonal equation, envelopes and contact transformations (2003) (8)
A survey of non-uniqueness results for the anisotropic Calder{\'o}n problem with disjoint data (2018) (8)
Third-order differential equations and local isometric immersions of pseudospherical surfaces (2015) (7)
Local energy decay of massive Dirac fields in the 5D Myers–Perry metric (2012) (7)
Fermionic Fock Spaces and Quantum States for Causal Fermion Systems (2021) (7)
The classification of complete sets of operators commuting with the Dirac operator in Minkowski space-time (1988) (6)
Decay of Solutions of the Wave Equation in the Kerr Geometry (2008) (6)
Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations (2015) (6)
Stability in the Inverse Steklov Problem on Warped Product Riemannian Manifolds (2018) (6)
Lie algebras, cohomology, and new applications to quantum mechanics : AMS Special Session on Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, March 20-21, 1992, Southwest Missouri State University (1994) (6)
Second-order equations and local isometric immersions of pseudo-spherical surfaces (2013) (6)
Normal forms and focal systems for determined systems of two first-order partial differential equations (1995) (5)
Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations (2019) (5)
On the Equivalence of Matrix Differential Operators to Schrödinger Form (1997) (5)
An Exact Expression for Photon Polarization in Kerr Geometry (2013) (5)
Green’s Function for the Hodge Laplacian on Some Classes of Riemannian and Lorentzian Symmetric Spaces (2008) (4)
On the parametrization problem of Lie pseudogroups of infinite type (2000) (4)
Quasi-Exactly Solvable Time-Dependent Potentials (1997) (4)
An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type (2004) (4)
Global causal propagator for the Klein-Gordon equation on a class of supersymmetric AdS backgrounds (2010) (4)
Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations (2017) (3)
Separation of variables for the Dirac equation in an extended class of Lorentzian metrics with local rotational symmetry (1991) (3)
The inverse Darboux transformation and exactly solvable deformations of shape-invariant potentials (2003) (3)
Hydrodynamic Systems and the Higher-Dimensional Laplace Transformations of Cartan Submanifolds (2001) (3)
Differential Invariants, Double Fibrations and Painlevé Equations (1992) (3)
NULL SURFACES AND CONTACT GEOMETRY (2005) (3)
Killing-Yano tensors and their role in separation of variables. (1988) (3)
Abstract structure for Lie pseudogroups (1997) (2)
External and generalized symmetries (2002) (2)
On the scalar spectrum of the Yp,q manifolds (2012) (2)
Exterior differential systems and normal forms of parabolic systems (1997) (2)
A Conjecture on Exceptional Orthogonal Polynomials (2012) (2)
Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals (2022) (1)
Normalizability of One-dimension al Quasi-exactly Solvable Schrόdinger Operators (1993) (1)
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds (2021) (1)
The solution of the cartan equivalence problem for $$\frac{{d^2 y}}{{dx^2 }} = F(x,y,\frac{{dy}}{{dx}})$$under the pseudo-group $$\bar x = \varphi (x),\bar y = \psi (x,y)$$ (1988) (1)
Empty spaces and perfect fluids with homothetic transformation (1982) (1)
Differential equations and their geometry (2002) (1)
Conformal Geometry, Differential Equations and Associated Transformations (2002) (1)
Internal Symmetries of Differential Equations (1993) (1)
Gaussian measures on the of space of Riemannian metrics (2015) (0)
Transformations of surfaces (2002) (0)
Ramified local isometric embeddings of singular Riemannian metrics (2020) (0)
Exterior differential systems (2008) (0)
Spinor Green’s functions via spherical means on products of space forms (2010) (0)
Exterior Differential Systems and Cartan–Kähler Theory (2005) (0)
On the Hidden Mechanism Behind Non-uniqueness for the Anisotropic Calderón Problem with Data on Disjoint Sets (2019) (0)
TRANSITIVE ANALYTIC LIE PSEUDO-GROUPS (2006) (0)
THE MANIFOLD OF METRICS WITH A FIXED VOLUME FORM (2013) (0)
The Cartan equivalence problem and the Painlevé transcedants (1987) (0)
Fe b 20 04 Supersymmetry and algebraic deformations (2008) (0)
On the scalar spectrum of the Yp,q manifolds (2012) (0)
Fermionic Fock Spaces and Quantum States for Causal Fermion Systems (2021) (0)
Matrix Calogero-Sutherland Hamiltonians and the multi-dimensional Darboux transformation (1999) (0)
Gaussian measures on the of space of Riemannian metrics (2013) (0)
Hölder Stability in the Inverse Steklov Problem for Radial Schrödinger operators and Quantiﬁed Resonances (2022) (0)
Separation of Variables and Quantum Numbers for Neutrino Fields on a Curved Spacetime (1983) (0)
H\"older Stability in the Inverse Steklov Problem for Radial Schr\"odinger operators and Quantified Resonances (2022) (0)
On the Darboux transformation for the time-dependent Schr\"odinger equation (1998) (0)
Se p 19 98 On the Darboux transformation for the time-dependent Schrödinger equation (1998) (0)
Real structures in asymptotically flat ℋ spaces (1983) (0)
Conservation laws and Darboux integrability (2002) (0)
Determining an asymptotically AdS Einstein spacetime from data on its conformal boundary (2015) (0)
The anisotropic Calder{ó}n problem on 3-dimensional conformally St{ä}ckel manifolds (2019) (0)
A Green’s function for the source-free Maxwell equations on AdS × S × S (2022) (0)
Boundary rigidity, and non-rigidity, of projective structures (2023) (0)
Impressions of Shing-Tung Yau and his mathematical world (2019) (0)
Focal Systems for Pfaffian Systems with Characteristics (2009) (0)
Hamiltonian systems of conservation laws (2002) (0)
Invariant polynomial subspaces (2007) (0)
Tranformations of submanifolds (2002) (0)
Algebraic exact solvability of trigonometric-type Hamiltonians associated to root systems (1998) (0)
The variational bi-complex (2002) (0)

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