Polynomial effective density in quotients of H3 and H2× H2

E. Lindenstrauss, A. Mohammadi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We prove effective density theorems, with a polynomial error rate, for orbits of the upper triangular subgroup of SL 2(R) in arithmetic quotients of SL 2(C) and SL 2(R) × SL 2(R). The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.

Original languageAmerican English
Pages (from-to)1141-1237
Number of pages97
JournalInventiones Mathematicae
Issue number3
StatePublished - Mar 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.


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