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Undergraduate Poster Session

Icon: calendar Undergraduate Poster #11 | 2026 Mar 28 from 10:45AM to 12:00PM (Central Time (US & Canada)) | Computing and Math 2nd Floor Hallway

‟Enumeration of Transfer Systems on Rank 3 Lattices” by Arad Ganir, with Zoe Pan <zoe.pan@emory.edu>, Ellora Yadav <ellora.yadav@emory.edu>

Abstract:

Transfer systems are a combinatorial object that occurs naturally in the study of equivariant homotopy theory. Ormsby et. al (2025) showed bijections between (co)saturated transfer systems with numerous categorical constructions. This work explores various enumeration results on rank 3 lattices including explicit counts on lattices of certain structures and a scheme to enumerate (co)saturated transfer systems using matrices.

Author Notes:

The authors of this work were advised by Dr. Tien Chih.