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