# Research

# Journal Articles

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

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

joint with A. Skorobogatov

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

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

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

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

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

joint with B. Chiarellotto and C. Liedtke

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

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

joint with B. Chiarellotto and N. Mazzari

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

joint with B. Chiarellotto

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

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

joint with B. Chiarellotto

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

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

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

# Theses

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

2-Descent on the Jacobins of Hyperelliptic Curves

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

# Slides

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