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Mathematics

D-Index
30
Citations
5277
World Ranking
3455
National Ranking
1347

Overview

David E. Radford is a researcher affiliated with the University of Illinois at Chicago in the United States. Their academic work is focused primarily in the field of Mathematics, with particular attention to several subfields including Applied Mathematics, Numerical Analysis, Mathematical Physics, Geometry and Topology, and Computational Theory and Mathematics.

Their research encompasses a range of mathematical topics, notably:

  • Mathematical Approximation and Integration
  • Mathematical Inequalities and Applications
  • Mathematical functions and polynomials
  • Computability, Logic, AI Algorithms
  • Benford's Law and Fraud Detection
  • Mathematical and Theoretical Analysis
  • Coding theory and cryptography

David E. Radford has contributed several papers, particularly to the arXiv (Cornell University) repository, which is their primary publication venue. Recent works include:

  • The gamma function and a certain sequence of differences, 2021, arXiv (Cornell University)
  • Factorials and powers, a minimality result, 2021, arXiv (Cornell University)
  • Factorials and powers, a minimality result, revisited, 2021, arXiv (Cornell University)
  • Centrality and the KRH Invariant, 2021, arXiv (Cornell University)

The last listed paper was co-authored with Louis H. Kauffman, highlighting some collaborative work in related topics. Other frequent co-authors include Stephen Sawin. These collaborations indicate an engagement with peers in advancing theoretical and applied mathematical subjects.

David E. Radford's publication record also shows a consistent focus on mathematical functions and inequalities, as well as computational theory and logic. This combination suggests a cross-disciplinary approach, bridging abstract mathematical theory with computational applications.

The researcher has not been credited with book publications or known academic awards to date. Their body of work remains concentrated within peer-reviewed papers, especially those published openly through academic repositories.

Best Publications

  • The structure of Hopf algebras with a projection

    David E Radford

  • Minimal Quasitriangular Hopf Algebras

    D.E. Radford

  • Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple

    Richard G Larson;David E Radford

  • Semisimple Cosemisimple Hopf Algebras

    Richard G. Larson;David E. Radford

  • Algebraic Aspects of the Quantum Yang-Baxter Equation

    L.A. Lambe;D.E. Radford

  • The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite

    David E. Radford

  • The Trace Function and Hopf Algebras

    D.E. Radford

  • A natural ring basis for the shuffle algebra and an application to group schemes

    David E Radford

  • Yetter-Drinfel'd categories associated to an arbitrary bialgebra

    David E. Radford;Jacob Towber

  • Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links

    Louis H. Kauffman;David E. Radford

  • A Necessary and Sufficient Condition for a Finite-Dimensional Drinfel′d Double to Be a Ribbon Hopf Algebra

    L.H. Kauffman;D.E. Radford

  • INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS

    Louis H. Kauffman;David E. Radford

  • Reflexivity and coalgebras of finite type

    Robert G Heyneman;David E Radford

  • Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach

    Larry A. Lambe;David E. Radford

  • On the antipode of a quasitriangular Hopf algebra

    David E Radford

  • Pointed Hopf algebras are free over Hopf subalgebras

    David E Radford

  • Finiteness conditions for a hopf algebra with a nonzero integral

    David E Radford

  • Finite-dimensional Hopf algebras of rank one in characteristic zero

    Leonid Krop;David E. Radford

  • On a coradical of a finite-dimensional Hopf algebra

    David E. Radford

  • OPERATORS ON HOPF ALGEBRAS.

    David E. Radford

  • The Cofree Irreducible Hopf Algebra on an Algebra

    Kenneth Newman;David E. Radford

Frequent Co-Authors

Louis H. Kauffman
Louis H. Kauffman University of Illinois at Chicago
Nicolás Andruskiewitsch
Nicolás Andruskiewitsch National University of Córdoba

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