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Mathematics

D-Index
34
Citations
4987
World Ranking
2906
National Ranking
1181

Overview

Dennis Stanton is affiliated with the University of Minnesota in the United States and specializes in the field of mathematics. Their research encompasses a spectrum of mathematical disciplines with a focus on algebra, number theory, combinatorics, and applied mathematics.

Their main field of study is Mathematics, with specific contributions distributed across:

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Statistics and Probability
  • Spectroscopy

Stanton's research frequently addresses advanced mathematical topics, including:

  • Advanced Mathematical Identities
  • Advanced Combinatorial Mathematics
  • Analytic Number Theory Research
  • Mathematical functions and polynomials
  • Random Matrices and Applications
  • Approximation Theory and Sequence Spaces
  • Molecular spectroscopy and chirality

Recent publications highlight a focus on combinatorics and orthogonal polynomials, among other topics. Notable papers include:

  • "Dyson's crank and the mex of integer partitions" (2021) published in Journal of Combinatorial Theory Series A
  • "Combinatorics of orthogonal polynomials of type R_I" (2021) published in The Ramanujan Journal
  • "Orthogonality of very well-poised series" (2024) published in Indagationes Mathematicae
  • "The Ariki-Koike algebras and Rogers-Ramanujan type partitions" (2024) published in Journal of Algebraic Combinatorics
  • "Ratios of Hahn--Exton q-Bessel functions and q-Lommel polynomials" (2020) published on arXiv (Cornell University)

Their research has appeared regularly in several venues, with publications concentrated in:

  • arXiv (Cornell University)
  • The Ramanujan Journal
  • Journal of Combinatorial Theory Series A
  • Journal of Algebraic Combinatorics
  • Indagationes Mathematicae

Throughout their career, Stanton has frequently collaborated with various researchers. Regular co-authors include:

  • Jang Soo Kim
  • Mourad E. H. Ismail
  • Ae Ja Yee
  • Shane Chern
  • Zhitai Li

Best Publications

  • Cranks and t-cores.

    Frank Garvan;Dongsu Kim;Dennis Stanton

  • The cyclic sieving phenomenon

    V. Reiner;D. Stanton;D. White

  • A schensted algorithm for rim hook tableaux

    Dennis W Stanton;Dennis E White

  • The combinatorics of q -Hermite polynomials and the Askey-Wilson integral

    Mourad Ismail;Dennis Stanton;Gerard Viennot

  • Strange Evaluations of Hypergeometric Series

    Ira Gessel;Dennis Stanton

  • Applications of q-lagrange inversion to basic hypergeometric series

    Ira Gessel;Dennis Stanton

  • Variants of the Rogers-Ramanujan Identities

    Kristina Garrett;Mourad E.H. Ismail;Dennis Stanton

  • Group actions on Stanley-Reisner rings and invariants of permutation groups☆

    A.M Garsia;D Stanton

  • Some q-Krawtchouk Polynomials on Chevalley Groups

    Dennis Stanton

  • A Convolution Formula for the Tutte Polynomial

    W. Kook;V. Reiner;D. Stanton

  • q -Taylor theorems, polynomial expansions, and interpolation of entire functions

    Mourad E. H. Ismail;Dennis Stanton

  • On the Askey-Wilson and Rogers Polynomials

    Mourad E. H. Ismail;Dennis Stanton

  • Classical orthogonal polynomials as moments

    Mourad E. H. Ismail;Dennis Stanton

  • Orthogonal Polynomials and Chevalley Groups

    Dennis Stanton

  • Block inclusions and cores of partitions

    Jørn B. Olsson;Dennis Stanton

  • Octobasic Laguerre polynomials and permutation statistics

    R. Simion;D. Stanton

  • Change of Base in Bailey Pairs

    D. Bressoud;M. E. H. Ismail;D. Stanton

  • Applications of q-Taylor theorems

    Mourad E.H. Ismail;Dennis Stanton

  • Invariant theory and tableaux

    Dennis Stanton;Ima Program on Applied Combinatorics

  • Combinatorial Laplacians of matroid complexes

    W. Kook;W. Kook;Victor S Reiner;Dennis W Stanton

  • q-Series and Partitions

    Dennis Stanton;Ima Program on Applied Combinatorics;Partitions

Frequent Co-Authors

Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette
Victor Reiner
Victor Reiner University of Minnesota
Ira M. Gessel
Ira M. Gessel Brandeis University
Lauren Williams
Lauren Williams Harvard University
Doron Zeilberger
Doron Zeilberger Rutgers, The State University of New Jersey
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Adriano M. Garsia
Adriano M. Garsia University of California, San Diego
George E. Andrews
George E. Andrews Pennsylvania State University

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