Ser Peow Tan

collaborators

3 papers

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

Equidistribution of partial coverings from closed geodesics

AsbjÃ¸rn Christian Nordentoft, Ser Peow Tan

Given a finite volume hyperbolic surface, a fundamental polygon and an oriented closed geodesic, we associate a partial covering of the surface. We prove that given a sequence of c…

Graded Bridgeman dilogarithm identities on hyperbolic surfaces

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

Equidistribution of partial coverings from closed geodesics

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