Publications and Preprints
Preprints
The homology groups of finite cyclic covering of line arrangement complement (with Wentao Xie), arXiv:2312.10939
The homology growth for finite abelian covers of smooth quasi-projective varieties (with Fenglin Li), arXiv:2311.11593
Cohomology of Z-local systems on complex hyperplane arrangement complements (with Laurenţiu Maxim, Botong Wang), arXiv:2209.13193v2
Brylinski-Radon transformation and generic projections (with Laurentiu Maxim, Botong Wang), arXiv:2307.00352v1
L^2-type invariants and cohomology jump loci for complex smooth quasi-projective varieties (with Fenglin Li), arXiv:2110.03356
Published Papers
Generic Vanishing, 1-forms, and Topology of Albanese Maps (with Yajnaseni Dutta and Hao Feng), Math. Z. 306, 56 (2024).
Cohomological connectivity of perturbations of map-germs (with Guillermo Peñafort Sanchis, Matthias Zach), Mathematische Nachrichten 2024.
Integral homology groups of double coverings and rank one Z-local system for minimal CW complex (with Ye Liu), Proc. Amer. Math. Soc. 151 (2023), 5007-5012.
Non-abelian Mellin Transformations and Applications (with Laurentiu Maxim and Botong Wang), Forum of Mathematics, Sigma , Volume 10 , 2022 , e100.
Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollar (with Laurentiu Maxim and Botong Wang), Crelle, vol. , no. , 2021, pp. 000010151520210055. https://doi.org/10.1515/crelle-2021-0055.
Perverse sheaves on semi-abelian varieties (with Laurentiu Maxim and Botong Wang), Sel. Math. New Ser. 27, 30 (2021).
Topology of subvarieties of complex semi-abelian varieties (with Laurentiu Maxim and Botong Wang), International Mathematics Research Notices, Volume 2021, Issue 14, July 2021, Pages 11169–11208.
On the length of perverse sheaves and D-modules (with Nero Budur, Pietro Gatti and Botong Wang), Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 62(110) (2019), no. 4, 355–369. arXiv:1709.00876
Length of Perverse Sheaves on Hyperplane Arrangements (with Nero Budur), European Journal of Mathematics (2019), volume in memory of S. Papadima.
Perverse sheaves on semi-abelian varieties -- a survey of properties and applications (with Laurentiu Maxim and Botong Wang), European Journal of Mathematics (2019), volume in memory of S. Papadima.
Generic vanishing for semi-abelian varieties and integral Alexander modules (with Laurentiu Maxim and Botong Wang), Math. Z. 293 (2019) 629-645.
Milnor and Tjurina numbers for a hypersurface germ with isolated singularity, C. R. Acad. Sci. Paris, Ser. I 356 (2018) 963–966.
Mellin transformation, propagation, and abelian duality spaces (with Laurentiu Maxim and Botong Wang), Adv. Math. 335 (2018) 231-260.
The monodromy Theorem for compact Kahler manifolds and smooth quasi-projective varieties (with Nero Budur and Botong Wang), Math. Ann. 371 (2018), no. 3-4,1069–1086.
Spectral pairs, Alexander modules, and boundary manifolds (with Laurentiu Maxim), Selecta Math. (N.S.) 23 (2017), 2261-2290.
Cohomology support loci of local systems (with Nero Budur, Luis Saumell and Botong Wang), Michigan Math. J. 66 (2017), 295-307.
Characteristic varieties of hypersurface complements (with Laurentiu Maxim), Adv. Math. 305 (2017) 451-493.
Nearby Cycles and Alexander Modules of Hypersurface Complements, Adv. Math. 291 (2016) 330-361.
Reidemeister Torsion, Peripheral Complex, and Alexander Polynomials of Hypersurface Complements (with Laurentiu Maxim), Algebr. Geom. Topol. 15 (2015), 2757-2787.
Notes
The total Milnor number of the weighted-Le-Yomdin-at-infinity polynomial, arXiv:1412.7688
The deletion restriction method for plane curve germ complement, arXiv:2007.06983