Research

12) P=W phenomena in algebraic and enumerative geometry

 arXiv:2309.15061 (2023) pp.29

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11) Symmetric weights in finite element exterior calculus, with Ludovico Bruni Bruno and Enrico Zampa

 submitted pp.44

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10) O'Grady tenfolds as moduli spaces of sheaves , with Franco Giovenzana and Annalisa Grossi

 to appear in Forum of Mathematics, Sigma  (2024) pp.20

 

9) On generalized nefness and bigness in adjunction theory , with Claudio Fontanari

Vietnam Journal of Mathematics, (2023) pp.10

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8) On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties, with Junliang Shen and Qizheng Yin,

Transactions of the American Mathematical Society (2022), pp. 15

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7) Betti numbers of Brill-Noether varieties, with Claudio Fontanari

Atti Accademia Nazionale dei Lincei Rendiconti Lincei Matematica e Applicazioni (2022), pp. 9

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6) On the splitting principle of Beniamino Segre, with Claudio Fontanari

Annali di Matematica Pura e Applicata (2022), pp. 6

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5) P=W conjectures for character varieties with symplectic resolution, with Mirko Mauri

 Journal de l’École polytechnique — Mathématiques (JEP), Tome 9 (2022), pp.  853–905

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4) Intersection cohomology of the moduli space of Higgs bundles on a genus 2 curve​

Oberwolfach Reports Volume 16, Issue 2, (2019), pp. 1357–1417

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3) Intersection cohomology of the moduli space of Higgs bundles on a curve of genus 2​

Journal of the Institute of  Mathematics of Jussieu (2021), pp.50

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2) A support theorem for nested Hilbert schemes of planar curves​

Manuscripta Mathematica 164, 467–488 (2021).

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1) Two applications of the decomposition theorem to moduli spaces

PhD thesis