Welcome to Yongqiang (Ted) Liu's Web Page

Address: East Campus, University of Science and Technology of China, Jinzhai Road 96, Hefei, China 230026
Email: liuyq@ustc.edu.cn

Position

2020.01--Present. Tenure Track Assistant Professor at The Institute of Geometry and Physics, University of Science and Technology of China.
2019.09--2019.12. Visiting University of Science and Technology of China.
2018.09--2019.08. Postdoc in Basque Center for Applied Mathematics, under the supervision of Javier Fernandez de Bobadilla.
2015.09--2018.08. Postdoc in Department of Mathematics at KU Leuven, under the supervision of Nero Budur.

Education

2009.09--2015.07. Ph.D in mathematics, University of Science and Technology of China.
2011.09--2014.08. Study in Department of Mathematics at University of Wisconsin, Madison as a visiting scholar, under the supervision of Laurentiu Maxim (supported by CSC program).
2005.09--2009.06. B.S. in pure and applied mathematics, University of Science and Technology of China.

Research Interests

Algebraic Topology and Algebraic Geometry, more specifically, Geometry and Topology of Complex Algebraic and Analytic Varieties, Intersection homology, Perverse Sheaves and applications to Singularities, Hodge theory

Awards

Excellent Ph.D Thesis Award by Chinese Academy of Sciences 2017

Preprints

L^2-type invariants and cohomology jump loci for complex smooth quasi-projective varieties (with Fenglin Li), arXiv:2110.03356
Non-abelian Mellin Transformations and Applications (with Laurentiu Maxim and Botong Wang), arXiv:2107.05608
Generic vanishing and holomorphic 1-forms (with Yajnaseni Dutta and Feng Hao), arXiv:2104.07074
Cohomological connectivity of perturbations of map-germs (with Guillermo Penafort Sanchis and Matthias Zach), arXiv:2103.14685

Published Papers

Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollar (with Laurentiu Maxim and Botong Wang), Crelle, vol. , no. , 2021, pp. 000010151520210055.
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), IMRN, 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.
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.

Teaching

Algebra III, USTC, 2020 fall semester.
Linear Algebra, USTC, 2021 spring semester.