World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
4513
World Ranking
2801
National Ranking
112

Overview

Niky Kamran is affiliated with McGill University in Canada and has a research profile spanning both Mathematics and Physics and Astronomy. Their work is interdisciplinary, reflecting the intersection of these two broad fields in areas such as Mathematical Physics and Applied Mathematics.

The primary fields of study for Kamran include:

  • Mathematics
  • Physics and Astronomy

Within these domains, their subfields of focus include:

  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

Kamran's research covers several advanced topics, notably:

  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Noncommutative and Quantum Gravity Theories
  • Black Holes and Theoretical Physics
  • Cold Atom Physics and Bose-Einstein Condensates
  • Spectral Theory in Mathematical Physics
  • Geometric Analysis and Curvature Flows

The scientist has published extensively in several journals and platforms. Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Annales Henri Poincaré
  • Journal of Differential Equations
  • Journal of Spectral Theory
  • Advances in Theoretical and Mathematical Physics

Selected recent publications feature titles such as:

  • "Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles," (2021) published in Pure and Applied Mathematics Quarterly
  • "The linear dynamics of wave functions in causal fermion systems," (2021) in Journal of Differential Equations
  • "The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility," (2020) in Journal of Spectral Theory
  • "Entangled quantum states of causal fermion systems and unitary group integrals," (2023) in Advances in Theoretical and Mathematical Physics
  • "ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA," (2020) in Forum of Mathematics Sigma

Collaborative work plays a significant role in Kamran's research activities. Frequent coauthors include:

  • Felix Finster
  • Thierry Daudé
  • François Nicoleau
  • Moritz Reintjes
  • Jack Borthwick

Best Publications

  • An extended class of orthogonal polynomials defined by a Sturm-Liouville problem

    Unknown

  • An extension of Bochner's problem: Exceptional invariant subspaces

    Unknown

  • Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

    D David;N Kamran;Decio Levi;P. Winternitz

  • Lie algebras of vector fields in the real plane

    Artemio González-López;Niky Kamran;Peter J. Olver

  • Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators

    Artemio González-López;Niky Kamran;Peter J. Olver

  • The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane

    Ian M. Anderson;Niky Kamran

  • On orthogonal polynomials spanning a non-standard flag

    David Gómez-Ullate Otaiza;Niky Kamran;Robert Milson

  • Lie algebras of differential operators and Lie-algebraic potentials

    Niky Kamran;Peter J Olver

  • Two-step Darboux transformations and exceptional Laguerre polynomials

    Unknown

  • The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry

    Felix Finster;Niky Kamran;Joel Smoller;Shing Tung Yau

  • Internal, External, and Generalized Symmetries

    Ian M. Anderson;Niky Kamran;Peter J. Olver

  • Quasi-exactly solvable Lie algebras of differential operators in two complex variables

    A Gonzalez-Lopez;N Kamran;P J Olver

  • Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry

    Felix Finster;Niky Kamran;Joel Smoller;Shing Tung Yau

  • Supersymmetry and algebraic deformations

    D. Gomez-Ullate;N. Kamran;R. Milson

  • Non-Existence of Time-Periodic Solutions of the Dirac Equation in an Axisymmetric Black Hole Geometry

    Felix Finster;Niky Kamran;Joel Smoller;Shing-Tung Yau

  • Lie algebras of differential operators in two complex variables

    Artemio Gonzalez-Lopez;Niky Kamran;Peter J. Olver

  • The local equivalence problem for $d^2 y/dx^2=F(x,y,dy/dx)$ and the Painlevé transcendents

    Unknown

  • On Differential Equations Describing Pseudo-Spherical Surfaces

    N. Kamran;K. Tenenblat

  • Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr–Newman Black Hole Geometry

    Felix Finster;Niky Kamran;Joel Smoller;Shing-Tung Yau

  • Characteristics and the Geometry of Hyperbolic Equations in the Plane

    R.B. Gardner;N. Kamran

  • New quasi-exactly solvable Hamiltonians in two dimensions

    Artemio González-López;Niky Kamran;Peter J. Olver

  • 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)

    F. Finster;N. Kamran;J. Smoller;S. T. Yau

  • On form-preserving transformations for the time-dependent Schr"odinger equation

    Federico Finkel;Artemio Gonzalez-Lopez;Niky Kamran;Miguel A. Rodriguez

  • Equivalence of differential operators

    Niky Kamran;Peter J. Olver

Frequent Co-Authors

Peter J. Olver
Peter J. Olver University of Minnesota
Ezra T. Newman
Ezra T. Newman University of Pittsburgh
Jonathan Taylor
Jonathan Taylor Stanford University
Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Shing-Tung Yau
Shing-Tung Yau Tsinghua University

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