Papers

Publications:

• Analytification of Mapping stacks (joint with Julian Holstein), Algebraic Geometry 12 (1) (2025), 13-83.
  ArXiv HAL Published version

• Non-archimedean quantum K-invariants (joint with Tony Y. Yu), accepted for publication in Journal de l'ENS (2023).
  ArXiv HAL

• Representability theorem in derived analytic geometry (joint with Tony Y. Yu), JEMS 22 (2020) no. 12, 3867-3951
  ArXiv HAL Published version

• Derived non-archimedean analytic Hilbert space, Journal de l'IMJ 21 (2020) no. 1, 335-366
  ArXiv HAL Published version

• Derived Hom spaces in rigid analytic geometry (joint with Tony Y. Yu), Publ. Res. Inst. Math. Sci. (RIMS) 57 (2021) no. 3-4, 921-958
  ArXiv HAL Published version

• GAGA theorems in derived complex geometry. Journal of Algebraic Geometry 28 (2019), no. 3, 519--565
  ArXiv HAL Published version

• Derived non-archimedean analytic spaces (joint with Tony Y. Yu) Selecta Mathematica (N.S.) 24 (2018) no. 2, 609-665
  ArXiv HAL Published version

• Higher analytic stacks and GAGA theorems (joint with Tony Y. Yu), Advances in Mathematics v. 302 (2016), 351-409.
  ArXiv HAL Published version

• Comparison results for Deligne-Mumford stacks, Pacific Journal of Mathematics 287 (2017) no. 1, 177-197.
  ArXiv HAL Published version

Preprints:

• The derived moduli of Stokes data (joint with Jean-Baptiste Teyssier), submitted
  ArXiv

• Homotopy theory of Stokes data and derived moduli (joint with Jean-Baptiste Teyssier), submitted
  ArXiv Pdf

• Day's convolution for pro-$\infty$-categories (joint with Jean-Baptiste Teyssier)
  Pdf

• Descent problems for derived Azumaya algebras (joint with Federico Binda), 33 pages. Major revision: 2023. Submitted.
  ArXiv HAL

• Non-archimedean Gromov-Witten invariants (joint with Tony Y. Yu). Submitted.
  ArXiv HAL

Publications:

• McKay correspondence, cohomological Hall algebras and categorification (joint with Emanuel Diaconescu and Francesco Sala). Accepted for publication in Representation Theory (2023).
  ArXiv HAL

• Two-dimensional categorified Hall algebras (joint with Francesco Sala), Journal of the European Mathematical Society (JEMS) 25 (2023), no. 3, pages 1113–1205.
  ArXiv HAL Published version

Preprints:

• Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians (joint with Emanuel Diaconescu, Francesco Sala, Olivier Schiffmann and Eric Vasserot)
  ArXiv HAL

• Flops and Hilbert schemes of space curve singularities (joint with Emanuel Diaconescu, Francesco Sala and Arian Vosoughinia). Submitted.
  ArXiv HAL

• Cohomological Hall algebras and their representation via torsion pairs (joint with Emanuel Diaconescu and Francesco Sala). Submitted.
  ArXiv HAL

Publications:

• The homotopy-invariance of constructible sheaves (joint with Jean-Baptiste Teyssier and Peter Haine). Accepted for publication in Homotopy Homology and Applications (2022).
  ArXiv HAL

Preprints:

• Standard t-structures (joint with Jean-Baptiste Teyssier and Peter Haine)
  ArXiv HAL

• Exodromy beyond conicality (joint with Jean-Baptiste Teyssier and Peter Haine).
  ArXiv Pdf

• Topological Exodromy with coefficients (joint with Jean-Baptiste Teyssier). Submitted (2022).
  ArXiv HAL