Papers
In total I have 11 papers in peer reviewed journals, and 6 recent preprints, that are listed below organised by thematic area.
Algebraic and analytic geometry
Publications:
Non-archimedean quantum K-invariants (joint with Tony Y. Yu), accepted for publication in Journal de l'ENS (2023).
ArXiv HALRepresentability theorem in derived analytic geometry (joint with Tony Y. Yu), JEMS 22 (2020) no. 12, 3867-3951
ArXiv HAL Published versionDerived non-archimedean analytic Hilbert space, Journal de l'IMJ 21 (2020) no. 1, 335-366
ArXiv HAL Published versionDerived 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 versionGAGA theorems in derived complex geometry. Journal of Algebraic Geometry 28 (2019), no. 3, 519--565
ArXiv HAL Published versionDerived non-archimedean analytic spaces (joint with Tony Y. Yu) Selecta Mathematica (N.S.) 24 (2018) no. 2, 609-665
ArXiv HAL Published versionHigher analytic stacks and GAGA theorems (joint with Tony Y. Yu), Advances in Mathematics v. 302 (2016), 351-409.
ArXiv HAL Published versionComparison results for Deligne-Mumford stacks, Pacific Journal of Mathematics 287 (2017) no. 1, 177-197.
ArXiv HAL Published version
Preprints:
Homotopy theory of Stokes data and derived moduli (joint with Jean-Baptiste Teyssier).
ArXiv PdfDay'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 HALNon-archimedean Gromov-Witten invariants (joint with Tony Y. Yu). Submitted.
ArXiv HALAnalytification of Mapping stacks (joint with Julian Holstein). Submitted.
ArXiv HAL
Representation theory
Publications:
McKay correspondence, cohomological Hall algebras and categorification (joint with Emanuel Diaconescu and Francesco Sala). Accepted for publication in Representation Theory (2023).
ArXiv HALTwo-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: