Publications and Preprints

1. Birational complexity and dual complexes, with J. Moraga
   arXiv:2402.10136, 2024, pp.37

2. Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms, with V. Bertini, A. Grossi, E. Mazzon,
   arxiv:2401.13632, 2024, pp.47 

3. Combinatorial decomposition theorem for Hitchin systems via zonotopes, with L. Migliorini and R. Pagaria
   arXiv:2209.00621, 2022, pp. 23

4. Hodge-to-singular correspondence for reduced curves, with L. Migliorini,
   accepted at Journal of the European Mathematical Society, arXiv:2205.11489, 2022, pp. 40 

5. Index of coregularity zero log Calabi-Yau pairs, with S. Filipazzi and J. Moraga
   accepted at Algebra & Number Theory, arXiv:2209.02925, 2024, pp. 30

6. Essential skeletons of pairs and Temkin's metric, with E. Mazzon and M. Stevenson,
   Annali dell'Università di Ferrara, 2024, pp. 18

7. Homological Bondal-Orlov localization conjecture for rational singularities, with E. Schinder
   Forum of Mathematics Sigma, 2023, pp. 9

8. On type II degenerations of hyperkähler manifolds, with D. Huybrechts,
   Mathematical Research Letters, 2023, pp. 17

9. P=W conjectures for character varieties with symplectic resolution, with C. Felisetti,
   Journal de l'École polytechnique, 2022, pp. 52

10. On the geometric P=W conjecture, with E. Mazzon and M. Stevenson,
    Selecta Mathematica, 2022, pp. 33 (erratum)

11. Lagrangian fibrations, with D. Huybrechts,
    Milan Journal of Mathematics,  2022, pp. 24

12. Topological mirror symmetry for rank two character varieties of surface groups,
    Abhandlungen der Uni. Hamburg, 2021, pp. 7

13. Intersection cohomology of rank two character varieties of surface groups,
    Journal of the Institute of Mathematics of Jussieu, 2021, pp. 40

14. Constructing local models of Lagrangian torus fibrations, with J. D. Evans,
    Annales Henri Lebesgue, 2021, pp. 34

15. The dual complex of log Calabi-Yau pairs on Mori  fibre spaces
    Advances in Mathematics, 2020, pp. 21

16. The dual complex of singularities after de Fernex, Kollár and Xu
    Arc schemes and singularities, World Scientific, 2020, pp. 21 (pdf)

17. G-birational superrigidity of Del Pezzo surfaces of degree 2 and 3, with L. das Dores,
    European Journal of Mathematics, 2019, pp. 30

The geometry of dual complexes, 2019, pp. 169, Imperial College London, UK (pdf)

1. Introduction to the P=W conjecture, Friday Bourbaki

2. Arithmetic of dual complexes of Calabi-Yau pairs, Minimal Model Program Learning Seminar (watch here)

3. On the geometric P=W conjecture, Geometria em Lisboa seminar

4. Lagrangian fibrations, with D. Huybrechts, ERC Sinergy seminar

5. Tautological classes on moduli spaces of hyperkähler manifolds, with T. Beckmann, ERC Sinergy seminar (see also the erratum) 

6. L1 stability for complex MA and regularity for real MA, Reading Seminar on Yang Li's SYZ papers, École Polytechnique

7. Essential skeletons of pairs and the geometric P=W conjecture, CIRM, Luminy

1. Hodge-to-singular correspondence, Recent perspectives in Hodge Theory, Pisa, IT, 2022

2. Local models for Lagrangian torus fibrations, BrAG, Liverpool, UK, 2019

3. The dual complex of logCY pairs on Mori fibre spaces, Mixed Hodge Modules, Mainz, DE, 2018

4. Dual complex of singularities, Géométrie Algébrique en Liberté, Bath, UK, 2017

1. Higher-dimensional log Calabi–Yau pairs, American Institute of Mathematics, USA, 30 September - 4 October 2024

2. Workshop "New advances on the Dolbeault moduli spaces", École polytechnique, 24 May 2024

3. Birational workshop, Hausdorff Institute for Mathematics, Bonn, 20 - 24 November 2023 

4. Felix Klein Lectures by János Kollár, Hausdorff Institute for Mathematics, Bonn, 17 - 26 October 2023

5. BPS workshop, online workshop, University of Michigan, USA, 29 March 2022

6. Compactifications of stability manifolds, online workshop, Max Planck Institute, DE, 18 March 2021

7. New Perspectives on SYZ Mirror Symmetry, Imperial College London, UK, 30 March - 1 April 2020 (cancelled for covid)

8. British Isles Graduate Workshop II,  Jersey, UK, 14 - 20 July 2018

1. Degeneration of hyperkähler varieties, Hausdorff Institute of Mathematics, Fall 2023

2. Geometric Langlands conjecture, Institute of Science and Technology Austria, Winter 2023