RESEARCH

Publications:

[11] (joint with Ch.Tang & J.Yang & W.Yang) Prime geodesic theorem for arithmetic compact surfaces, IMRN (to appear) (Arxiv)

[10] (joint with Z.Luo and Q.Pi) Bias of root numbers for Hilbert newforms of cubic level. JNT 243 (2023), pp 62-116 (Arxiv | Journal )

[9] (joint with N.Andersen) Hybrid subconvexity and the partition function. JNT 242 (2023), pp 154-180 (ArXiv | Journal )

[8] On Motohashi's formula: Trans. AMS 375(11) (2022), pp 8033-8081 (Arxiv | Journal )

[7] Explicit subconvexity for $GL_2$. Mathematika 68(3) (2022), pp 921-978 ( Arxiv | Journal )

[6] (joint with G.Cherubini & G.Zabradi) On Kuznetsov-Bykovskii's formula of counting prime geodesics. Math. Z. 300 (2021), pp 881-928 ( Arxiv | Journal )

[5] Explicit Burgess-like subconvex bounds for $GL_2 \times GL_1$. Forum Math. 32(5) (2020), pp 1211-1251. ( Arxiv | Journal )

[4] Deducing Selberg trace formula via Rankin-Selberg method for $GL_2$. Trans. AMS 372(12) (2019), pp 8507-8551 ( Arxiv | Journal )

[3] Burgess-like subconvexity for $GL_1$. Compos. Math. 115 (2019), pp 1457-1499. ( Arxiv | Journal )

[2] A note on spectral analysis in automorphic representation theory for $GL_2$: I. IJNT 13(10) (2017), pp 2717-2750 ( Arxiv | Journal )

[1] Burgess-like subconvex bounds for $GL_2 \times GL_1$. Geom. Func. Analysis. 24(3) (2014), pp 968-1036. ( Arxiv | Journal )

Pre-Publications:

[4] On a generalization of Motohashi's formula: non-archimedean weight functions. (Arxiv)

[3] On a generalization of Motohashi's formula. (Arxiv)

[2] (joint with P.Xi) A uniform Weyl bound for $L$-functions of Hilbert modular forms. (Arxiv)

[1] (joint with O.Balkanova & D.Frolenkov) On Weyl's subconvex bound for cube-free Hecke characters: totally real case. (Arxiv)(Video 1, Video 2, Video 3 by D.Frolenkov, Video 4; Slides)

In Preparation:

[3] Inversion formulae for some Bessel-like distributions.

[2] (joint with D.Jiang) Motohashi's formula for $GL_n$.

[1] (joint with Y.Hu & Z.Shen) Voronoi-Hankel transforms.

Other Notes:

[1] Subconvex bounds for compact toric integrals. under revision (Arxiv)