Marco D'Addezio

Accepted papers

  • The convergent stack  
    arXiv:2606.10573 (2026), accepted for the proceedings of the 4th Italian Meeting on Number Theory, to appear in Rivista di Matematica dell’Università di Parma.
  • Some remarks on the companions conjecture for normal varieties 
    Comptes Rendus Math. 362 (2024), 63-69.
  • Boundedness of the p-primary torsion of the Brauer group of an abelian variety 
    Compos. Math. 160 (2024), 463-480.
  • Parabolicity conjecture of F-isocrystals 
    Ann. Math. 198 (2023), 619-656.
  • Slopes of F-isocrystals over abelian varieties 
    Doc. Math. 28 (2023), 1-9.
  • On the semi-simplicity conjecture for Q^ab 
    Math. Res. Lett. 29 (2022), 1003-1009.
  • Maximal tori of monodromy groups of F-isocrystals and an application to abelian varieties (joint with Ambrosi) 
    Algebraic Geom. 9 (2022), 633-650.
  • On the universal extensions in Tannakian categories (joint with Esnault) 
    Int. Math. Res. Not. 9 (2022), 14008-14033.
  • The monodromy groups of lisse sheaves and overconvergent F-isocrystals 
    Sel. Math. New Ser. 26 (2020), 1-41.


    • Preprints

  • Logarithmic Dieudonné theory and overconvergent extensions  
    arXiv:2512.20143 (2025).
  • Injectivity failure in crystalline comparisons (joint with Caro)  
    arXiv:2511.11444 (2025).
  • Hecke orbits on Shimura varieties of Hodge type (joint with van Hoften) 
    arXiv:2205.10344 (2022).


    • In preparation

  • Edged crystalline cohomology  
    PDF (August 2025).
  • Topologies on marked schemes  
    PDF (September 2025).
  • Edged prismatic cohomology 
  • A filtered Poincaré duality for de Rham cohomology (joint with Miyazaki)  
  • Exponents for irregular differential modules: a tannakian approach to the theory of exponents (joint with Lazda, Pál, Pulita)  
  • Uniform bounds for the Brauer group of CM abelian varieties and K3 surfaces  


    • Theses

  • On the p-adic slope filtration 
    HDR thesis (2024), HAL.
  • Monodromy groups in positive characteristic 
    PhD thesis (2019).
  • Descent theory for strong approximation for varieties containing a torsor under a torus 
    Master 2 thesis (2016).
  • Le groupe de Galois absolu du corps C(Z) 
    Master 1 thesis (2015).
  • Théorème de séparation des fonctions méromorphes sur une surface de Riemann compacte 
    Master 1 thesis (2015).
  • Il gruppo affine di Cremona 
    Bachelor thesis (2014).