top of page
Foresta dall'alto

Research

Articles and preprints

Intersection theory on singular moduli spaces of vector bundles: a parabolic approach, with Olga Trapeznikova

arxiv:2603:01946 (2026), pp. 29

Parabolic bundles and intersection cohomology of moduli spaces of vector bundles, with Andras Szenes and Olga Trapeznikova

arxiv:2502.20327 (2025), pp. 52

P=W phenomena in algebraic and enumerative geometry

Bollettino UMI (2025) pp.30

Symmetric weights in finite element exterior calculuswith Ludovico Bruni Bruno and Enrico Zampa

 submitted pp.44

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

Forum of Mathematics, Sigma 12 (2024) e60, pp. 19

 

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

Vietnam Journal of Mathematics, (2023) pp.10

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

Betti numbers of Brill-Noether varieties, with Claudio Fontanari

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

On the splitting principle of Beniamino Segre, with Claudio Fontanari

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

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

 Journal de l’École polytechnique — Mathématiques (JEP), Tome 9 (2022), pp.  853905

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

A support theorem for nested Hilbert schemes of planar curves

Manuscripta Mathematica 164, 467–488 (2021).

Two applications of the decomposition theorem to moduli spaces

PhD thesis

© 2023 By Rachel Smith. Proudly created with Wix.com

bottom of page