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Mathematics

D-Index
32
Citations
4069
World Ranking
3209
National Ranking
1282

Overview

William Heinzer is affiliated with Purdue University West Lafayette in the United States and has contributed extensively to the fields of mathematics and computer science. Their primary focus lies within algebra and number theory, geometry and topology, and computational theory and mathematics, alongside work in applied mathematics and signal processing.

The main domains of Heinzer's research encompass:

  • Commutative Algebra and Its Applications
  • Rings, Modules, and Algebras
  • Algebraic Geometry and Number Theory
  • Polynomial and algebraic computation
  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Point processes and geometric inequalities

Heinzer has published numerous papers, frequently appearing in several academic venues. The primary journals and publication outlets include the Journal of Algebra, arXiv (Cornell University), and Rendiconti del Seminario Matematico della Università di Padova. Notable recent papers are:

  • The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two (2020, Rendiconti del Seminario Matematico della Università di Padova)
  • A connectedness theorem for spaces of valuation rings (2024, Journal of Algebra)
  • Noetherian intersections of regular local rings of dimension two (2020, Journal of Algebra)
  • The tree of quadratic transforms of a regular local ring of dimension two (2020, Journal of Algebra)
  • The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two (2023, arXiv (Cornell University))

They have collaborated frequently with other researchers, with prominent coauthors including Bruce Olberding, Christel Rotthaus, Sylvia Wiegand, K. Alan Loper, and Matt Toeniskoetter.

Heinzer's academic contributions also include authoring a book published under Mathematical Surveys and Monographs titled Integral Domains Inside Noetherian Power Series Rings in 2021.

Best Publications

  • On the uniqueness of the coefficient ring in a polynomial ring

    Shreeram S Abhyankar;William Heinzer;Paul Eakin

  • Integral domains in which each non-zero ideal is divisorial

    William Heinzer

  • Locally noetherian commutative rings

    William Heinzer;Jack Ohm

  • Intersections of quotient rings of an integral domain

    Robert Gilmer;William J. Heinzer

  • Overrings of Prüfer domains. II

    Robert W Gilmer;William J Heinzer

  • The ratliff-rush ideals in a noetherian ring

    William Heinzer;David Lantz;Kishor Shah

  • A cancellation problem for rings

    Paul Eakin;William Heinzer

  • Krull dimension of polynomial rings

    J. W. Brewer;P. R. Montgomery;E. A. Rutter;W. J. Heinzer

  • Associated primes of principal ideals

    J. W. Brewer;W. J. Heinzer

  • Products of commutative rings and zero-dimensionality

    Robert Gilmer;William Heinzer

  • M-Canonical ideals in integral domains

    William J. Heinzer;James A. Huckaba;Ira J. Papick

  • Prime ideals in two-dimensional polynomial rings

    William Heinzer;Sylvia Wiegand

  • Coefficient Ideals in and Blowups of a Commutative Noetherian Domain

    W. Heinzer;B. Johnston;D. Lantz;K. Shah

  • Strongly irreducible ideals of a commutative ring

    William J. Heinzer;Louis J. Ratliff;David E. Rush

  • Noetherian intersections of integral domains

    William Heinzer;Jack Ohm

  • The Laskerian property in commutative rings

    William Heinzer;David Lantz

  • An essential ring which is not a $v$-multiplication ring

    William Heinzer;Jack Ohm

  • The Laskerian property, power series rings and Noetherian spectra

    Robert Gilmer;William Heinzer

  • Primary ideals and valuation ideals. II

    Robert Gilmer;William Heinzer

  • The radical trace property

    William J Heinzer;William J Heinzer;Ira J Papick;Ira J Papick

  • Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra

    William J. Heinzer;Craig L. Huneke;Judith D. Sally

  • Multiplicative Ideal Theory in Commutative Algebra

    James W. Brewer;Bruce M. Olberding;William J. Heinzer;Sarah Glaz

Frequent Co-Authors

Shreeram S. Abhyankar
Shreeram S. Abhyankar Purdue University West Lafayette
Craig Huneke
Craig Huneke University of Virginia

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