D
Duc-Manh Nguyen
Researcher at University of Bordeaux
Publications - 42
Citations - 346
Duc-Manh Nguyen is an academic researcher from University of Bordeaux. The author has contributed to research in topics: Genus (mathematics) & Surface (mathematics). The author has an hindex of 10, co-authored 40 publications receiving 310 citations. Previous affiliations of Duc-Manh Nguyen include Max Planck Society.
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Teichmüller curves generated by Weierstrass Prym eigenforms in genus 3 and genus 4
Erwan Lanneau,Duc-Manh Nguyen +1 more
TL;DR: In this paper, the authors classified the infinite families of Teichmuller curves generated by Prym eigenforms of genus 3 having a single zero and showed that for large enough discriminant D of the corresponding quadratic order, the generators of this order can be determined directly.
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Finiteness of Teichmüller Curves in Non-Arithmetic Rank 1 Orbit Closures
TL;DR: In this paper, it was shown that in any non-arithmetic rank 1 orbit closure of translation surfaces, there are only finitely many Teichmueller curves and that any completely parabolic surface is Veech.
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Non-Veech surfaces in {\mathcal{H}^{\rm hyp}(4)} are generic
Duc-Manh Nguyen,Alex Wright +1 more
TL;DR: In this paper, it was shown that every surface in the component of the moduli space of pairs of pairs is either a Veech surface or a generic surface, and that every closed or dense subset of this component is a dense subspace.
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Teichmueller curves generated by Weierstrass Prym eigenforms in genus three and genus four
Erwan Lanneau,Duc-Manh Nguyen +1 more
TL;DR: In this article, the authors classified the infinite families of Teichmuller curves generated by Prym eigenforms of genus 3 having a single zero and showed that for large enough discriminant D of the corresponding quadratic order, the generators of this order can be determined directly.
Posted Content
Classification of higher rank orbit closures in H^{odd}(4)
TL;DR: In this paper, it was shown that in the odd connected component of genus 3 translation surfaces with a single zero, the only GL^+(2,R) orbit closures are closed orbits, the Prym locus Q(3,1,3), and H^{odd}(4).