Preprints

1. Rigidification of arithmetic D-modules and an overconvergent Riemann-Hilbert correspondence

   • arXiv

2. Proper pushforwards on analytic adic spaces

   • joint with T. Abe

   • arXiv

Journal Articles

1.  A comparison between compactly supported rigid and D-module cohomology, to appear in J. Eur. Math. Soc.

   • joint with T. Abe

   • arXiv

2. Reduction of Kummer surfaces modulo 2 in the non-supersingular case, Epijournal Geom. Algebrique (2023), 7 Art.10: 25pp.

   • joint with A. Skorobogatov

   • journal, arXiv

3. A note on effective descent for overconvergent isocrystals, J. Number Theory (2022) 237: 395-410

   • journal, arXiv

4. Good reduction of K3 surfaces in equicharacteristic p, Ann. Sc. Norm. Super. Pisa Cl. Sci. (2022) 23: 483-500

   • joint with B. Chiarellotto and C. Liedtke

   • journal, arXiv

5. A homotopy exact sequence for overconvergent isocrystals, Forum Math. Sigma. (2021) 9: e71

   • joint with A. Pál

   • journal, arXiv

6. Local acyclicity in p-adic cohomology, Doc. Math. (2021) 26: 981-1044

   • arXiv

7. A Néron-Ogg-Shafarevich criterion for K3 surfaces, Proc. London Math. Soc. (2019) 119 (2): 469-514

   • joint with B. Chiarellotto and C. Liedtke

   • journal, arXiv, code

8. Cycle classes in overconvergent rigid cohomology and a semistable Lefschetz (1,1) theorem, Compos. Math. (2019) 155 (5): 1025-1045

   • joint with A. Pál

   • journal, arXiv

9. The filtered Ogus realisation of motives, J. Algebra (2019) 527: 348-365

   • joint with B. Chiarellotto and N. Mazzari

   • journal, arXiv

10. Around ℓ-independence, Compos. Math. (2018) 154 (1): 223-248

    • joint with B. Chiarellotto

    • journal, arXiv, corrigendum

11. Fundamental groups and good reduction criteria for curves over positive characteristic local fields, J. Théor. Nombres Bordeaux (2017) 29 (3): 755-798

    • journal, arXiv

12. Combinatorial degenerations of surfaces and Calabi-Yau threefolds, Algebra & Number Theory (2016) 10 (10): 2235-2266

    • joint with B. Chiarellotto

    • journal, arXiv

13. Incarnations of Berthelot's conjecture, J. Number Theory (2016) 166: 137-157

    • journal, arXiv

14. Relative fundamental groups and rational points, Rend. Sem. Mat. Univ. Padova (2015) 134: 1-45

    • journal, arXiv

15. Rigid rational homotopy types, Proc. London Math. Soc. (2014) 109 (2): 523-551

    • journal, arXiv

Monographs

1. Rigid Cohomology over Laurent Series Fields, Springer (2016) Algebra and Applications vol. 21

   • joint with A. Pál

   • publisher

Theses

1. Rational homotopy theory in arithmetic geometry, applications to rational points

   • My Ph.D. thesis, the first two chapters of which are entirely contained in "Relative fundamental groups and rational points" and "Rigid rational homotopy types" above

   • repository

2. 2-Descent on the Jacobins of Hyperelliptic Curves

   • My essay for Part III of the Mathematical Tripos at Cambridge (essentially, my master's thesis)

   • pdf

Slides

• • A new comparison between overconvergent isocrystals and arithmetic D-modules, Padova 09/19, pdf