N. Doan

activity

20202026

most citedGeometric filling curves on punctured surfaces

1 citations · 1 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.GT2026

Stable-norm boundary geometry on once-punctured tori

Nhat Minh Doan, Xiaobin Li, Van Nguyen

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

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 $Γ_{0} (2^{n})$

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

We prove that $Γ_{0} (2^{n})$ ( $n \geq 2$ ) 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 th…

Stable-norm boundary geometry on once-punctured tori

Graded Bridgeman dilogarithm identities on hyperbolic surfaces

Optimal Farey sequence for the Congruence subgroup Γ0​(2n)

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