Preprint
- (with Yifeng Liu) Enhanced six operations and base change theorem for higher Artin stacks, pdf
Publications
Disclaimer: The arXiv identifiers are provided for convenience only. The published version may differ from the arXiv versions.
- (with Qing Lu) Symmetric monoidal categories and the relative Lefschetz–Verdier formula.
Acta Math. Sinica (Chinese Ser.) 67 (2024), no. 2 (special issue in honor of Professor Yuan Wang), pp. 323–340.
link - (with Qing Lu) Categorical traces and a relative Lefschetz–Verdier formula.
Forum Math. Sigma 10 (2022), e10, pp. 1–24. arXiv:2005.08522
link - (with Qing Lu) On the distribution of multivariate Jacobi sums.
Finite Fields Appl. 73 (2021), 101840, pp. 1–7. arXiv:2005.14358
link - (with Qing Lu) ℓ-independence over Henselian valuation fields, appendix to Hiroki Kato, ℓ-independence of the trace of local monodromy in a relative case.
Manuscripta Math. 166 (2021), no. 1–2, pp. 310–313. arXiv:1904.02324
link - (with Qing Lu) Compatible systems and ramification.
Compos. Math. 155 (2019), no. 12, pp. 2334–2353. arXiv:1801.03221
link - (with Qing Lu) Duality and nearby cycles over general bases.
Duke Math. J. 168 (2019), no. 16, pp. 3135–3213. arXiv:1712.10216
link note - Companions on Artin stacks.
Math. Z. 292 (2019), no. 1–2, pp. 57–81. arXiv:1512.08929
link note - (with Qing Lu and Zhiyong Zheng) On the distribution of Jacobi sums.
J. Reine Angew. Math. 2018, no. 741, pp. 67–86. arXiv:1305.3405
link - Künneth formula for nearby cycles, appendix to Luc Illusie, Around the Thom–Sebastiani theorem.
Manuscripta Math. 152 (2017), no. 1–2, pp. 119–123. arXiv:1604.07004
link - Gluing pseudo functors via n-fold categories.
J. Homotopy Relat. Struct. 12 (2017), no. 1, pp. 189–271. arXiv:1211.1877
link - (with Shenghao Sun) Parity and symmetry in intersection and ordinary cohomology.
Algebra Number Theory 10 (2016), no. 2, pp. 235–307. arXiv:1402.1292
link note - (with Luc Illusie) Quotient stacks and equivariant étale cohomology algebras: Quillen's theory revisited.
J. Algebraic Geom. 25 (2016), no. 2, pp. 289–400. arXiv:1305.0365
link corrigendum - Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks.
Sci. China Math. 58 (2015), no. 3 (special issue for Algebraic Geometry in East Asia 2013), pp. 565–632. arXiv:1006.3810
link note - On hyper base change.
Exposé XII B in Travaux de Gabber sur l'uniformisation locale et la cohomologie étale des schémas quasi-excellents. Séminaire à l'École polytechnique 2006–2008, dirigé par Luc Illusie, Fabrice Orgogozo, Yves Laszlo.
Astérisque 363–364 (2014), pp. 251–260. - (with Luc Illusie) Odds and ends on finite group actions and traces.
Int. Math. Res. Not. IMRN 2013, no. 1, pp. 1–62. arXiv:1001.1982
link
Errata and Addenda, Int. Math. Res. Not. IMRN 2014, no. 9, pp. 2572–2576. link - Sur l'indépendance de l en cohomologie l-adique sur les corps locaux.
Ann. Sci. Éc. Norm. Supér. (4) 42 (2009), no. 2, pp. 291–334. arXiv:0711.3658
link - Sur la cohomologie des faisceaux l-adiques entiers sur les corps locaux.
Bull. Soc. Math. France 136 (2008), no. 3, pp. 465–503. arXiv:math/0701311
link erratum - (with Jin Yang) On a theorem of Chowla.
J. Number Theory 106 (2004), no. 1, pp. 50–55.
link note
Graduate theses
- Intégralité, rationalité et indépendance de l en cohomologie l-adique sur les corps locaux, thèse de doctorat effectuée à l'Université Paris-Sud, sous la direction de Luc Illusie, soutenue le 14 décembre 2007.
- Théorème de Gabber d'indépendance de l, mémoire de Master 2, dirigé par Luc Illusie, soutenu le 1er juillet 2005.
Slides
- Compatible systems along the boundary (Conference in honor of Ofer Gabber, 2018)
- Nearby cycles over general bases (Hong Kong Geometry Colloquium, 2017)
- 代数叠、平展上同调、基变换（2012年）
- Weil猜想简介2（2011年清华）
- Mod l cohomology algebras of quotient stacks (PANT 2011, Beijing)
- Odds and ends on equivariant cohomology and traces (ICCM 2010, Beijing)