Irena Swanson
Mathematics · Purdue University West Lafayette
Publications
89
Citations
1,364
Est. group size
—
Recurring co-author estimate
Active years
35
Publishing since 1992
Irena Swanson works in commutative algebra, a branch of pure mathematics that studies the structure of algebraic objects called rings and ideals (roughly, collections of elements built from polynomials that behave in structured ways). Much of her recent work examines how properties of ideals, such as their 'associated primes' and 'depth', change as the ideal is raised to higher powers, as well as related computational and structural questions like Rees algebras and primary decompositions. This research is foundational, contributing to the theoretical toolkit used across algebra, algebraic geometry, and computational algebra.
Publication output has been modest and somewhat irregular over the last decade, with occasional gaps (e.g., 2022) followed by renewed activity in 2023-2025, averaging about 1.6 papers per year over the last five years.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Uniform Artin Rees results
Contemporary mathematics - American Mathematical Society · 2025
- Rees algebras of sparse determinantal ideals
Transactions of the American Mathematical Society · 2024
- Fluctuations in depth and associated primes of powers of ideals
Arkiv för matematik · 2024
- Fluctuations in depth and associated primes of powers of ideals
arXiv (Cornell University) · 2023
- Rees algebras of sparse determinantal ideals
arXiv (Cornell University) · 2021
- Introduction to Analysis with Complex Numbers
WORLD SCIENTIFIC eBooks · 2020
- Tensor-multinomial sums of ideals: Primary decompositions and persistence of associated primes
Proceedings of the American Mathematical Society · 2019
- Predicted decay ideals
Communications in Algebra · 2019
- Many associated primes of powers of primes
Journal of Pure and Applied Algebra · 2019
- The Zarankiewicz Problem via Chow Forms
Advanced studies in pure mathematics · 2018
- Predicted decay ideal
arXiv (Cornell University) · 2018
- Commutative Algebra Provides a Big Surprise for Craig Huneke’s Birthday
Notices of the American Mathematical Society · 2017
- Primary Decompositions
Lecture notes in mathematics · 2017
- Constructions Cachees en Algebre Abstraites
2017
- arXiv (Cornell University)×5
- Communications in Algebra×2
- Transactions of the American Mathematical Society×1
- Proceedings of the American Mathematical Society×1
- Journal of Pure and Applied Algebra×1
- Bernd Ulrich
Mathematics · Purdue University West Lafayette
- Giulio Caviglia
Mathematics · Purdue University West Lafayette
- Linquan Ma
Mathematics · Purdue University West Lafayette
- Uli Walther
Mathematics · Purdue University West Lafayette
- Siamak Yassemi
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