Geometry-of-numbers methods in the cusp
We develop new methods for counting integral orbits having bounded invariants that lie inside the cusps of fundamental domains for coregular representations.We illustrate these methods for a representation of cardinal interest in number theory, namely that of the split orthogonal group acting on the space of quadratic forms.
Authors
- Ashvin Swaminathan (ORCID: https://orcid.org/0000-0003-4595-9103)
- Ila Varma
- Artane Siad
- Arul Shankar
Institutions
- Harvard University (US)
- University of Toronto (CA)
- Institute for Advanced Study (US)
Publication Details
- Journal
- Algebra & Number Theory
- Published
- 2025-05-14
- DOI
- https://doi.org/10.2140/ant.2025.19.1099
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Princeton University
- University of Toronto