Duc-Manh Nguyen

activity

20162026

most citedIntersection theory and volumes of moduli spaces of flat metrics on the sphere (with an appendix by Vincent Koziarz and Duc-Manh Nguyen)

1 citations · 1 across the 6 of their papers we have counts for

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8 papers · 1 filter

math.GT2025

Intersection theory and Siegel-Veech constants for Prym eigenform loci in $Ω M_{3} (2, 2)^{odd}$

Duc-Manh Nguyen

We compute the Siegel-Veech constants associated to saddle connections with distinct endpoints on Prym eigenforms for real quadratic orders with non-square discriminant in $Ω\mathc…

math.GT2023

Representations of braid groups via cyclic covers of the sphere: Zariski closure and arithmeticity

Gabrielle Menet, Duc-Manh Nguyen

Let $d \geq 2$ and $n \geq 3$ be two natural numbers. Given any sequence $κ = (k_{1}, \dots, k_{n}) \in Z^{n}$ such that $g cd (k_{1}, \dots, k_{n}, d) = 1$ , we consider the family of Riemann…

math.GT2020

Variation of Hodge structure and enumerating tilings of surfaces by triangles and squares

Vincent Koziarz, Duc-Manh Nguyen

Let $S$ be a connected closed oriented surface of genus $g$ . Given a triangulation (resp. quadrangulation) of $S$ , define the index of each of its vertices to be the number of edge…

math.GT2019

Volume forms on moduli spaces of d-differentials

Duc-Manh Nguyen

Given $d \in N$ , $g \in N \cup {0}$ , and an integral vector $κ = (k_{1}, \dots, k_{n})$ such that $k_{i} > - d$ and $k_{1} + \dots + k_{n} = d (2 g - 2)$ , let $Ω^{d} M_{g, n} (κ)$ denot…

math.GT2018

Topological Veech dichotomy and tessellations of the hyperbolic plane

Duc-Manh Nguyen

For every half-translation surface with marked points $(M, Σ)$ , we construct an associated tessellation $Π (M, Σ)$ of the Poincaré upper half plane whose tiles have finitely many side…

math.GT2018

Weierstrass Prym eigenforms in genus four

Erwan Lanneau, Duc-Manh Nguyen

We prove that for each discriminant $D \equiv 0, 1 mod 4, D \neq \in {4, 9}$ , the corresponding Prym eigenform locus discovered by McMullen in the stratum $H (6)$ is connec…

Intersection theory and Siegel-Veech constants for Prym eigenform loci in ΩM3​(2,2)odd

Representations of braid groups via cyclic covers of the sphere: Zariski closure and arithmeticity

Variation of Hodge structure and enumerating tilings of surfaces by triangles and squares

Volume forms on moduli spaces of d-differentials

Topological Veech dichotomy and tessellations of the hyperbolic plane

Weierstrass Prym eigenforms in genus four

Intersection theory and Siegel-Veech constants for Prym eigenform loci in $Ω M_{3} (2, 2)^{odd}$