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AxIOM

Commutative Algebra, Representation Theory, and Other Interactions January 25, 2027 to February 19, 2027
Organizers LEAD David Eisenbud (University of California, Berkeley), Srikanth Iyengar (University of Utah), Claudia Polini (University of Notre Dame), Bernd Ulrich (Purdue University)
Description
Twist shout
<p>&nbsp;</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

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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