Preprints


  1. The filtered Ogus realisation of motives (joint with B. Chiarellotto and N. Mazzari) arXiv pdf
  2. Local acyclicity in \(p\)-adic cohomology arXiv pdf
  3. A Néron-Ogg-Shafarevich criterion for K3 surfaces (joint with B. Chiarellotto and C. Liedtke) arXiv pdf
  4. A note on effective descent for overconvergent isocrystals arXiv pdf
  5. A homotopy exact sequence for overconvergent isocrystals (joint with A. Pál) arXiv pdf

Journal Articles


  1. Cycle classes in overconvergent rigid cohomology and a semistable Lefschetz \((1,1)\) theorem (joint with A. Pál), to appear ion Compos. Math. arXiv pdf
  2. Around \(\ell\)-independence (joint with B. Chiarellotto), Compos. Math. (2018) 154 (1): 223-248 article arXiv pdf
  3. Fundamental groups and good reduction criteria for curves over positive characteristic local fields, J. Théor. Nombres Bordeaux (2017) 29 (3): 755-798 article arXiv pdf
  4. Combinatorial degenerations of surfaces and Calabi-Yau threefolds (joint with B. Chiarellotto), Algebra & Number Theory (2016) 10 (10): 2235-2266 article arXiv pdf
  5. Incarnations of Berthelot's conjecture, J. Number Theory (2016) 166: 137-157 article arXiv pdf
  6. Relative fundamental groups and rational points, Rend. Sem. Mat. Univ. Padova (2015) 134: 1-45 article arXiv pdf
  7. Rigid rational homotopy types, Proc. London Math. Soc. (2014) 109 (2): 523-551 article arXiv pdf

Monographs


  1. Rigid Cohomology over Laurent Series Fields (joint with A. Pál), Springer (2016) vol. 21 of Algebra and Applications book

Theses


  1. Rational homotopy theory in arithmetic geometry, applications to rational points thesis pdf
    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. 2-Descent on the Jacobins of Hyperelliptic Curves pdf
    My essay for Part III of the Mathematical Tripos at Cambridge.

Other Documents


  1. Rigid cohomology over Laurent series fields (joint with A. Pál)
    • I: First definitions and basic properties arXiv pdf
    • II: Finiteness and Poincaré duality for smooth curves arXiv pdf
    • III: Absolute coefficients and arithmetic applications arXiv pdf
    • These are earlier versions of chapters from our book on rigid cohomology. The book itself contains far more material, and much stronger results.