N. Doan

collaborators

4 papers

math.GT2026

McShane-Rivin norm balls and simple-length multiplicities

Nhat Minh Doan, Xiaobin Li, Van Nguyen

We use normal-turn estimates to study the global and local geometry of the boundaries of McShane--Rivin norm balls $B_{X}$ for complete finite-area hyperbolic once-punctured tori $X$ …

math.GT2026

Graded Bridgeman dilogarithm identities on hyperbolic surfaces

Ara Basmajian, Nhat Minh Doan, Hugo Parlier +1

We establish graded versions of Bridgeman's dilogarithm identity for hyperbolic cone surfaces, including surfaces with only cusps and cone points, and provide applications to the s…

math.NT2026

Optimal Farey sequence for the Congruence subgroup $I^_{0} (2^{n})$

Nhat Minh Doan, Sang-hyun Kim, Mong Lung Lang +1

We prove that $I^_{0} (2^{n})$ ( $n \geq 2$ ) has a Farey sequence ${e_{i}}$ such that $e_{i} \leq 2^{n - 1}$ for all $e_{i}$ . The above upper bound is optimal, and there exists a unique $j$ such t…

math.GT2025

Some arithmetic aspects of ortho-integral surfaces

Nhat Minh Doan, Khanh Le

We investigate ortho-integral (OI) hyperbolic surfaces with totally geodesic boundaries, defined by the property that every orthogeodesic (i.e. a geodesic arc meeting the boundary…

McShane-Rivin norm balls and simple-length multiplicities

Graded Bridgeman dilogarithm identities on hyperbolic surfaces

Optimal Farey sequence for the Congruence subgroup I^0​(2n)

Some arithmetic aspects of ortho-integral surfaces

Optimal Farey sequence for the Congruence subgroup $I^_{0} (2^{n})$