William Heinzer
Mathematics · Purdue University West Lafayette
Publications
261
Citations
3,495
Est. group size
—
Recurring co-author estimate
Active years
59
Publishing since 1966
William Heinzer works in commutative algebra, a branch of pure mathematics that studies the structure of rings (algebraic systems generalizing number systems) and the ideals within them. His research focuses on Noetherian local rings, power series constructions, and how prime ideals behave under repeated algebraic transformations, particularly in low-dimensional settings such as two-dimensional regular local rings. This work is largely theoretical, aimed at understanding fundamental structural properties of algebraic objects rather than applications.
Publication output has been variable but persistent over the last decade, with a notable cluster of monograph-related outputs in 2021 and continued activity through 2023, though recent years show a slower pace (mean of about 1.2 publications per year over the last five years).
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two
arXiv (Cornell University) · 2023
- Building Noetherian Domains Inside an Ideal-adic Completion II
2023
- Integral Domains Inside Noetherian Power Series Rings
Mathematical surveys and monographs · 2021
- More tools
Mathematical surveys and monographs · 2021
- Wierstrass techniques for generic fiber rings
Mathematical surveys and monographs · 2021
- The Homomorphic Image Construction
Mathematical surveys and monographs · 2021
- Excellent rings and formal fibers
Mathematical surveys and monographs · 2021
- Catenary local rings with geometrically normal fibers
Mathematical surveys and monographs · 2021
- The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two
Rendiconti del Seminario Matematico della Università di Padova · 2020
- Noetherian intersections of regular local rings of dimension two
Journal of Algebra · 2020
- Building Noetherian and Non‐Noetherian Integral Domains Using Power Series
2019
- Building Noetherian Domains Inside an Ideal-adic Completion
2019
- Ideals Having a One-Dimensional Fiber Cone
2019
- The tree of quadratic transforms of a regular local ring of dimension\n two
arXiv (Cornell University) · 2018
- Coefficient and Stable Ideals in Polynomial Rings
2017
- Journal of Algebra×7
- arXiv (Cornell University)×7
- Mathematical surveys and monographs×6
- Rendiconti del Seminario Matematico della Università di Padova×1
- Vaibhav Pandey
Mathematics · Purdue University West Lafayette
- K. Alan Loper
Mathematics · The Ohio State University
- Cosmin S. Roman
Mathematics · The Ohio State University
- Irena Swanson
Mathematics · Purdue University West Lafayette
- Linquan Ma
Mathematics · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile