I am an Associate Professor at School of Mathematical Sciences, Zhejiang University.
My research areas include Representation Theory and Automorphic Forms.
I received my doctorate degree from HKUST in 2011, under the supervision of Yongchang Zhu.
My e-mail address is "maliu[at]zju.edu.cn".
Preprints
4. On Deligne's conjecture for Hecke characters
arXiv:2509.18921 [with Yubo Jin and Binyong Sun]
3. On the Blasius-Deligne conjecture for the standard L-functions of symplectic type for GL_{2n}
arXiv:2509.00434 [with Dihua Jiang, Binyong Sun and Fangyang Tian]
2. Period relations for Rankin-Selberg convolutions for GL(n)×GL(n)
arXiv:2506.20942 [with Yubo Jin, Jian-Shu Li and Binyong Sun]
1. Relative completed cohomologies and modular symbols
arXiv:1709.05762 [with Binyong Sun]
Publications
30. Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups. PDF
Israel J. Math (2025), 51pp [with Jia-Jun Ma and Fang Shi]
29. Arithmetic wavefront sets and generic L-packets. PDF
Adv. Math. 483 (2025) 110668, 107pp [with Dihua Jiang and Lei Zhang]
28. Archimedean period relations for Rankin-Selberg convolutions. PDF
Adv. Math. 478 (2025) 110393, 52pp [with Yubo Jin and Binyong Sun]
27. Convergence of Kac-Moody Eisenstein series over a function field. PDF
Selecta Mathematica (N. S.) 31 (2025), no. 2, Paper No. 39, 12pp [with Kyu-Hwan Lee and Thomas Oliver]
26. Arithmetic branching law and generic L-packets. PDF
Representation Theory 28 (2024), 328-365 [with Cheng Chen, Dihua Jiang and Lei Zhang]
25. On the convergence of Kac-Moody Eisenstein series. PDF
Amer. J. Math 146 (2024) no. 5, 1253-1274 [with Lisa Carbone, Howard Garland, Kyu-Hwan Lee and Stephen D. Miller]
24. Period relations for Rankin-Selberg convolutions for GL(n)×GL(n-1). PDF
Compositio Mathematica 160 (2024), 1871-1915 [with Jian-Shu Li and Binyong Sun]
23. Irreducible representations of GLn(ℂ) of minimal Gelfand-Kirillov dimension. PDF
Acta Math. Sinica, English Series. 40 (2024) no. 3, 639-657 [with Zhanqiang Bai, Yangyang Chen and Binyong Sun]
22. Strong integrality of inversion subgroups of Kac-Moody groups
J. Lie Theory 34 (2024) no. 2, 453-468 [with Abid Ali, Lisa Carbone and Scott H. Murray]
21. Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n-1) for principal series representations. PDF
Science China Math. 66 (2023) 2203–2218 [with Jian-Shu Li, Feng Su and Binyong Sun]
20. Theta lifting for loop groups. PDF
Duke Math. J. 171 (2022) no. 13, 2799-2840 [with Yongchang Zhu]
19. Entirety of certain cuspidal Eisenstein series on Kac-Moody groups. PDF
Algebra & Number Theory 16 (2022) no. 5, 1099-1119 [with Lisa Carbone and Kyu-Hwan Lee]
18. Rankin-Selberg integrals for principal series representations of GL(n). PDF
Forum Math. 33 (2021) no. 6, 1549-1559 [with Feng Su and Binyong Sun]
17. Character expansion of Kac-Moody correction factors. PDF
Pacific J. Math. 313 (2021) no. 1, 159-183 [with Kyu-Hwan Lee and Thomas Oliver]
16. Descents of unipotent cuspidal representations of finite classical groups. PDF
Manuscripta Math. 165 (2021) no. 1-2, 159-189 [with Zhicheng Wang]
15. On the Gan-Gross-Prasad problem for finite unitary groups. PDF
Math. Z. 297 (2021) no. 3-4, 997-1021 [with Zhicheng Wang]
14. A tour of representation theory [book review of MR3837537] PDF
Bull. Amer. Math. Soc. 58 (2021) no. 1, 137-142
13. Remarks on the theta correspondence over finite fields. PDF
Pacific J. Math. 306 (2020) no. 2, 587-609 [with Zhicheng Wang]
12. Descents of unipotent representations of finite unitary groups. PDF
Trans. Amer. Math. Soc. 373 (2020) no. 6, 4223-4253 [with Zhicheng Wang]
11. Whittaker functions and Demazure characters. PDF
J. Inst. Math. Jussieu 18 (2019) no. 4, 759-781 [with Kyu-Hwan Lee and Cristian Lenart]
10. LCA(2), Weil index, and product formula. PDF
Adv. Math. 329 (2018), 1088-1136 [with Yongchang Zhu]
9. Eisenstein series on rank 2 hyperbolic Kac-Moody groups. PDF
Math. Ann. 367 (2017) no. 3-4, 1173-1197 [with Lisa Carbone and Kyu-Hwan Lee]
8. Archimedean zeta integrals on U(n,1). PDF
J. Number Theory 169 (2016) 62-78 [with Bingchen Lin]
7. Residues and duality on semi-local two-dimensional adeles. PDF
J. Algebra 448 (2016) 74-83
6. Archimedean zeta integrals on U(2,1). PDF
J. Funct. Anal. 269 (2015) no. 1, 229-270
5. Eisenstein series on loop groups. PDF
Trans. Amer. Math. Soc. 367 (2015) no. 3, 2079-2135
4. Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces. PDF
3. Theta functions and arithmetic quotients of loop groups. PDF
Math. Res. Lett. 19 (2012) no. 1, 13-29
2. q-conjugacy classes in loop groups. PDF
Proc. Amer. Math. Soc. 140 (2012) no. 9, 3297-3311
1. On the theta functional of Weil representations for symplectic loop groups. PDF
J. Algebra 324 (2010) no. 11, 3115-3130 [with Yongchang Zhu]