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Mathematics

D-Index
41
Citations
5502
World Ranking
1950
National Ranking
826

Research.com Recognitions

  • 2004 - Fellow of Alfred P. Sloan Foundation

Overview

Rowan Killip is affiliated with the University of California, Los Angeles in the United States. Their research focuses primarily on the intersection of physics and mathematics, particularly within advanced mathematical physics problems and nonlinear wave phenomena.

The scientist's work spans several main fields of study, including:

  • Physics and Astronomy
  • Mathematics

Within these areas, their subfields of specialization include:

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics
  • Applied Mathematics
  • Nuclear and High Energy Physics

Their research covers several main topics such as:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Black Holes and Theoretical Physics
  • Navier-Stokes equation solutions
  • Seismic Imaging and Inversion Techniques
  • Quantum Mechanics and Non-Hermitian Physics

Rowan Killip has authored numerous papers with recent publications including:

  • "Sharp well-posedness for the Benjamin-Ono equation" (2024) published in Inventiones mathematicae
  • "On the well-posedness problem for the derivativenonlinear Schrödinger equation" (2023) published in Analysis & PDE
  • "Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold" (2021) published in SIAM Journal on Mathematical Analysis

Among frequent coauthors, Killip has collaborated extensively with:

  • Monica Vișan
  • Benjamin Harrop-Griffiths
  • Jason Murphy
  • Thierry Laurens
  • Maria Ntekoume

They have published in a range of venues, including:

  • arXiv (Cornell University)
  • Nonlinearity
  • Pure and Applied Analysis
  • Inventiones mathematicae
  • SIAM Journal on Mathematical Analysis

Rowan Killip received the distinction of Fellow of the Alfred P. Sloan Foundation in 2004.

Best Publications

  • Sum rules for Jacobi matrices and their applications to spectral theory

    Rowan Killip;Barry Simon

  • Matrix models for circular ensembles

    Rowan Killip;Irina Nenciu

  • The cubic nonlinear Schrödinger equation in two dimensions with radial data

    Rowan Killip;Terence Tao;Monica Visan

  • The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

    Rowan Killip;Monica Visan

  • On the Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators with Square Summable Potentials

    P. Deift;R. Killip

  • THE MASS-CRITICAL NONLINEAR SCHRÖDINGER EQUATION WITH RADIAL DATA IN DIMENSIONS THREE AND HIGHER

    Rowan Killip;Monica Visan;Xiaoyi Zhang

  • Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles

    Rowan Killip;Mihai Stoiciu

  • Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$ R 3

    Rowan Killip;Tadahiro Oh;Oana Pocovnicu;Monica Vişan

  • KdV is well-posed in $H^{-1}$

    Rowan Killip;Monica Vişan

  • Uniform Spectral Properties of One-Dimensional Quasicrystals, III. α-Continuity

    David Damanik;Rowan Killip;Daniel Lenz

  • Perturbations of orthogonal polynomials with periodic recursion coefficients

    David Damanik;Rowan Killip;Barry Simon

  • The mass-critical nonlinear Schr"odinger equation with radial data in dimensions three and higher

    Rowan Killip;Monica Visan;Xiaoyi Zhang

  • Uniform spectral properties of one-dimensional quasicrystals, III. $lpha$-continuity

    David Damanik;Rowan Killip;Daniel Lenz

  • The defocusing energy-supercritical nonlinear wave equation in three space dimensions

    Rowan Killip;Monica Visan

  • Low regularity conservation laws for integrable PDE

    Rowan Killip;Monica Vişan;Xiaoyi Zhang

  • Sobolev spaces adapted to the Schrödinger operator with inverse-square potential

    R. Killip;C. Miao;M. Visan;J. Zhang

  • Energy-Supercritical NLS: Critical [Hdot] s -Bounds Imply Scattering

    Rowan Killip;Monica Visan

  • Perturbations of one-dimensional Schrodinger operators preserving the absolutely continuous spectrum

    Rowan Brett Killip

  • The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions

    Rowan Killip;Monica Visan

  • On the mass-critical generalized KdV equation

    Rowan Killip;Soonsik Kwon;Shuanglin Shao;Monica Visan

  • Sobolev spaces adapted to the Schr"odinger operator with inverse-square potential

    R. Killip;C. Miao;M. Visan;J. Zhang

Frequent Co-Authors

Monica Visan
Monica Visan University of California, Los Angeles
David Damanik
David Damanik Rice University
Barry Simon
Barry Simon California Institute of Technology
Howard M. Wiseman
Howard M. Wiseman Griffith University
Changxing Miao
Changxing Miao Institute of Applied Physics and Computational Mathematics
Alexander Kiselev
Alexander Kiselev Duke University
Terence Tao
Terence Tao University of California, Los Angeles
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Percy Deift
Percy Deift Courant Institute of Mathematical Sciences
D. F. Walls
D. F. Walls University of Auckland

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