Duc-Manh Nguyen

activity

20242026

collaborators

4 papers

math.AG2026

Hilbert surfaces, modular forms, and Siegel-Veech constants

Duc-Manh Nguyen

We give the values of the Siegel-Veech constants associated with saddle connections having distinct endpoints on translation surfaces in Prym eigenform loci in $Î©\mathcal{M}_3(2,2…

math.GT2025

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

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 $Î©\math…

cs.CL2025

SLM-Bench: A Comprehensive Benchmark of Small Language Models on Environmental Impacts--Extended Version

Nghiem Thanh Pham, Tung Kieu, Duc-Manh Nguyen +3

Small Language Models (SLMs) offer computational efficiency and accessibility, yet a systematic evaluation of their performance and environmental impact remains lacking. We introdu…

math.GT2024

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 $I^º = (k_{1}, \dots, k_{n}) \in Z^{n}$ such that $g cd (k_{1}, \dots, k_{n}, d) = 1$ , we consider the family of Riemann…

Hilbert surfaces, modular forms, and Siegel-Veech constants

Intersection theory and Siegel-Veech constants for Prym eigenform loci in I^c◯M3​(2,2)odd

SLM-Bench: A Comprehensive Benchmark of Small Language Models on Environmental Impacts--Extended Version

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

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