AxIOM
<p> </p><p>A line and a twisted cubic form the complete intersection of two quadric surfaces (shown in red and yellow). This is the simplest interesting example of the relation of linkage.</p>
The AxIOM seeks to build on the many interactions between commutative algebra, representation theory and other areas of mathematics. The focus will be new developments in these subjects, many inspired by the 2024 Commutative Algebra program. Some of the major themes to be covered are linkage theory, syzygies, and new interactions between commutative algebra and algebraic number theory.
How to Apply
Applications are open via MathPrograms.org between February 1 through March 31, 2026 for visits of 1 week to 4 weeks during the program dates in Spring 2027.
Apply via MathPrograms.org by March 31, 2026
Eligibility
Researchers with a PhD (or equivalent) or advanced graduate standing at the time of the AxIOM program.
Researchers must be in residence for at least one week, and preference may be given to those who can attend for longer periods.
Participant Support
SLMath will provide local accommodation or reimburse participants for out-of-pocket lodging costs.
SLMath is committed to maintaining family-friendly policies and, when possible, facilitating appropriate arrangements for partners and children of program members. Learn more about Childcare Grants for members with children ages 17 and under.
Application Requirements
Curriculum Vitae
Publication list
Statement of purpose
One letter of support
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
Betti numbers
congruence module
enumerative geometry
Hilbert scheme
Linkage
numerical semigroup
rank conjectures
Representation theory
residual intersections
syzygies in infinite resolutions