Ara Basmajian

The Graduate Center, CUNY — United States

Mathematics · Physical Sciences

10h-index544citations54works0.42yr avg
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Research Topics

Geometric and Algebraic Topology(33), Mathematical Dynamics and Fractals(24), Geometric Analysis and Curvature Flows(16), Mathematics and Applications(13), Analytic and geometric function theory(9)

Publications54 total

Counting Reciprocal Hyperbolic Elements in Hecke Groups
arXiv (Cornell University)·2025Open Access
Tubes and Steklov Eigenvalues in Negatively Curved Manifolds
International Mathematics Research Notices·2025· 1 citedOpen Access
Counting cusp excursions of reciprocal geodesics
Contemporary mathematics - American Mathematical Society·2025
Prime orthogeodesics, concave cores and families of identities on hyperbolic surfaces
Advances in Mathematics·2024· 2 cited
A Bers type classification of big mapping classes
arXiv (Cornell University)·2024Open Access
Tubes in complex hyperbolic manifolds
Transactions of the American Mathematical Society·2024· 1 cited
Orthosystoles and orthokissing numbers
arXiv (Cornell University)·2024Open Access
Counting cusp excursions of reciprocal geodesics
arXiv (Cornell University)·2024Open Access
Tubes in Complex Hyperbolic Manifolds
arXiv (Cornell University)·2024Open Access
Tubes and Steklov eigenvalues in negatively curved manifolds
arXiv (Cornell University)·2023Open Access
The shortest non-simple closed geodesics on hyperbolic surfaces
Mathematische Zeitschrift·2023· 3 cited
Low-lying geodesics on the modular surface and necklaces
arXiv (Cornell University)·2023Open Access
Editors' introduction
EMS Surveys in Mathematical Sciences·2023Open Access
Bounded geometry with no bounded pants decomposition
Israel Journal of Mathematics·2023· 1 cited
The shortest non-simple closed geodesics on hyperbolic surfaces
arXiv (Cornell University)·2022Open Access
Combinatorial growth in the modular group
Groups Geometry and Dynamics·2022· 2 citedOpen Access
The type problem for Riemann surfaces via Fenchel–Nielsen parameters
Proceedings of the London Mathematical Society·2022· 4 cited
Editors' introduction of the Special issue in honor of Dennis Sullivan on the occasion of his 80th birthday
SPIRE - Sciences Po Institutional REpository·2022Open Access
Bounded geometry with no bounded pants decomposition
arXiv (Cornell University)·2021Open Access
The type problem for Riemann surfaces via Fenchel-Nielsen parameters
arXiv (Cornell University)·2020Open Access
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Frequent Co-authors

Mahmoud Zeinalian(5), Hugo Parlier(5), Robert Suzzi Valli(5), Youngju Kim(3), Nicholas G. Vlamis(3), Yair N. Minsky(2), Alan W. Reid(2), Ser Peow Tan(2), Hrant Hakobyan(2), Dragomir Šarić(2), Gerard Walschap(2), Karan Puri(2), Jade Brisson(2), Asma Hassannezhad(2), Antoine Métras(2), Robert Miner(1), Bernard Maskit(1), Hanh D. Vo(1), Scott A. Wolpert(1), Federica Fanoni(1)