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Kenneth R. Davidson

Kenneth R. Davidson

D-Index & Metrics

Mathematics

D-Index
35
Citations
7076
World Ranking
2727
National Ranking
110

Overview

Kenneth R. Davidson is affiliated with the University of Waterloo in Canada and works primarily in the field of Mathematics. The research output encompasses a significant focus on mathematical physics, algebra and number theory, applied mathematics, and computational theory. The scientist's work also touches on atmospheric science within the broader mathematical context.

The main subjects of investigation include advanced topics in algebra, advanced operator algebra research, holomorphic and operator theory, advanced Banach space theory, matrix theory and algorithms, polar research and ecology, and quantum information and cryptography.

Recent papers with their year of publication and venues are:

  • "Choquet order and hyperrigidity for function systems," 2021, Advances in Mathematics
  • "Positive Maps and Entanglement in Real Hilbert Spaces," 2023, Annales Henri Poincaré
  • "Interpolation and duality in algebras of multipliers on the ball," 2022, Journal of the European Mathematical Society
  • "Counterexamples to the extendibility of positive unital norm-one maps," 2023, Linear Algebra and its Applications
  • "Strongly Peaking Representations and Compressions of Operator Systems," 2020, International Mathematics Research Notices

Frequent collaborators include:

  • Vern I. Paulsen
  • Mizanur Rahaman
  • Alistair Rogers
  • Kim Ely
  • Giulio Chiribella

The researcher has contributed frequently to several publication venues, including:

  • arXiv (Cornell University)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • Annales Henri Poincaré
  • Advances in Mathematics
  • Journal of the European Mathematical Society

Regarding book publications, the following are noted:

  • "Integer and Polynomial Algebra," published by the American Mathematical Society in 2023
  • "Functional Analysis and Operator Algebras," to be published by Springer International Publishing in 2025

Best Publications

  • C*-algebras by example

    Kenneth R. Davidson

  • Nest algebras : triangular forms for operator algebras on Hilbert space

    Kenneth R. Davidson

  • Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces

    Kenneth R. Davidson;Stanislaw J. Szarek

  • Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras

    Kenneth R. Davidson;David R. Pitts

  • The algebraic structure of non-commutative analytic Toeplitz algebras

    Kenneth R. Davidson;David R. Pitts

  • Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras

    Kenneth R. Davidson;David R. Pitts

  • Real Analysis and Applications: Theory in Practice

    Kenneth R. Davidson;Allan P. Donsig

  • Real Analysis with Real Applications

    Kenneth R. Davidson;Allan P. Donsig

  • The Choquet boundary of an operator system

    Kenneth R. Davidson;Matthew Kennedy

  • The structure of free semigroup algebras

    Kenneth R. Davidson;Elias Katsoulis;David R. Pitts

  • The structure of free smigroup algebras

    K. R. Davidson;E. Katsoulis;D. R. Pitts

  • Almost commuting Hermitian matrices.

    Kenneth R. Davidson

  • The isomorphism problem for some universal operator algebras

    Kenneth R. Davidson;Christopher Ramsey;Orr Moshe Shalit

  • Periodicity in Rank 2 Graph Algebras

    Kenneth R. Davidson;Dilian Yang

  • Best approximation in C*-algebras.

    Kenneth R. Davidson;S.C. Power

  • Isometric Dilations of Non-Commuting Finite Rank n-Tuples

    Kenneth R. Davidson;David W. Kribs;Miron E. Shpigel

  • Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps

    Kenneth R. Davidson;Adam Dor-On;Orr Moshe Shalit;Baruch Solel

  • ABSOLUTELY CONTINUOUS REPRESENTATIONS AND A KAPLANSKY DENSITY THEOREM FOR FREE SEMIGROUP ALGEBRAS

    Kenneth R. Davidson;Jiankui Li;David R. Pitts

  • Operator algebras for analytic varieties

    Kenneth R. Davidson;Christopher Ramsey;Christopher Ramsey;Orr Moshe Shalit

  • Polynomially bounded operators.

    Kenneth R. Davidson;Vern I. Paulsen

Frequent Co-Authors

Vern I. Paulsen
Vern I. Paulsen University of Waterloo
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
David W. Kribs
David W. Kribs University of Guelph
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
Kiran S. Kedlaya
Kiran S. Kedlaya University of California, San Diego

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