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Mathematics

D-Index
41
Citations
7463
World Ranking
1901
National Ranking
810

Overview

Paul Terwilliger is affiliated with the University of Wisconsin-Madison in the United States. Their research focuses primarily on mathematics, with particular engagement in the subfields of geometry and topology, discrete mathematics and combinatorics, algebra and number theory, mathematical physics, and electrical and electronic engineering.

The main topics of their work include algebraic structures and combinatorial models, finite group theory research, advanced topics in algebra, graph theory and CDMA systems, advanced algebra and geometry, coding theory, and cryptography.

Frequent co-authors collaborating with Paul Terwilliger include Kazumasa Nomura, Arjana Žitnik, Sarah Post, Sebastian M. Cioabă, and Jack H. Koolen.

Their recent published papers include:

  • "Totally bipartite tridiagonal pairs" (2021) in Electronic Journal of Linear Algebra
  • "Leonard pairs, spin models, and distance-regular graphs" (2020) in Journal of Combinatorial Theory Series A
  • "A Q-Polynomial Structure Associated with the Projective Geometry L_N(q)" (2023) in Graphs and Combinatorics
  • "A conjecture concerning the q-Onsager algebra" (2021) in Nuclear Physics B
  • "A compact presentation for the alternating central extension of the positive part of Uq(sl^2)" (2021) in Ars Mathematica Contemporanea

Paul Terwilliger has published extensively in several academic venues. Among the most frequent are arXiv (Cornell University) with 26 publications, Journal of Combinatorial Theory Series A (5 publications), Graphs and Combinatorics (3 publications), Electronic Journal of Linear Algebra (3 publications), and Journal of Algebra (3 publications).

Best Publications

  • The Subconstituent Algebra of an Association Scheme, (Part I)

    Paul Terwilliger

  • Two linear transformations each tridiagonal with respect to an eigenbasis of the other

    Paul Terwilliger

  • Some algebra related to P - and Q -polynomial association schemes.

    Tatsuro Ito;Kenichiro Tanabe;Paul M. Terwilliger

  • Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations

    Paul Terwilliger

  • LEONARD PAIRS AND THE ASKEY-WILSON RELATIONS

    Paul Terwilliger;Raimundas Vidunas

  • Introduction to Leonard pairs

    Paul Terwilliger

  • Leonard pairs and the q-Racah polynomials

    Paul Terwilliger

  • Two Linear Transformations each Tridiagonal with Respect to an Eigenbasis of the other; Comments on the Parameter Array

    Paul Terwilliger

  • Leonard Pairs from 24 Points of View

    Paul Terwilliger

  • Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD–D canonical form and the LB–UB canonical form

    Paul M. Terwilliger

  • The shape of a tridiagonal pair

    Tatsuro Ito;Paul Terwilliger

  • The q-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules

    Tatsuro Ito;Paul Terwilliger

  • TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS

    Tatsuro Ito;Paul Terwilliger

  • An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials

    Paul Terwilliger

  • The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra

    Brian Hartwig;Paul Terwilliger

  • THE AUGMENTED TRIDIAGONAL ALGEBRA

    Tatsuro Ito;Paul Terwilliger

  • The Subconstituent Algebra of an Association Scheme (Part III)

    Unknown

  • The quantum algebra Uq(sl2) and its equitable presentation

    Tatsuro Ito;Paul Terwilliger;Chih-wen Weng

  • Tridiagonal pairs and the quantum affine algebra Uq(sl 2)

    Tatsuro Ito;Paul M. Terwilliger

  • Tight Distance-Regular Graphs

    Aleksandar Jurišić;Jack Koolen;Paul Terwilliger

  • The equitable presentation for the quantum group Uq(g) associated with a symmetrizable Kac–Moody algebra g

    Paul Terwilliger

  • The Subconstituent Algebra of an Association Scheme (Part II)

    Unknown

Frequent Co-Authors

Michel Deza
Michel Deza École Normale Supérieure

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