**HANG
XUE
**Assistant Professor

Department of Mathematics, The University of Arizona

617 N. Santa Rita Ave.

Tucson, AZ 85721-0089 USA

Office: ENR2, S329

Email: xuehang at math dot arizona dot edu

My research area is number theory, in particular automorphic forms. I am also interested in representation theory, harmonic analysis on groups and algebraic geometry.

Here is my CV
(Sept. 2018).

- Department policy and Instructor's policy
- Tentative schedule
- We use WebAssign.
- Written assignment can be found here.

- We post grades on D2L.

- Course website
- Homework
- We post grades on D2L.

*Preprint*- Epsilon dichotomy for linear models on central simple algebras.
- In preparation

- Fourier–Jacobi periods and local spherical
character identities.

- Central values of degree six
*L*-functions. *Publications*- Arithmetic Theta lifts and the arithmetic Gan--Gross--Prasad conjecture.
- To appear in
*Duke Math Journal.*PDF

- On the global
Gan--Gross--Prasad conjecture for unitary groups:
approximating smooth transfer of Jacquet--Rallis,

- To appear in
*J. Reine Angew. Math.*PDF

- Fourier--Jacobi periods of classical
Saito--Kurokawa lifts,

- To appear in
*The Ramunujan Journal*PDF

- Refined global Gan--Gross--Prasad conjecture for
Fourier--Jacobi periods on symplectic groups.

*Compos. Math. 153 (2017), no. 1, 68–1**31*, PDF

- Fourier--Jacobi periods and the central value of
Rankin--Selberg
*L*-functions.

*Israel J. Math. 212 (2016), no. 2, 547–633.*PDF

- A quadratic point on the Jacobian of the universal
genus four curve.

*Math. Res. Lett. 22 (2015), no. 5, 1563–1571*. PDF

- The Gan--Gross--Prasad conjecture for U(n)
×U(n).

*Adv. Math. 262 (2014), 1130–1191*. PDF- (With Y. Ouyang) Class numbers of cyclic 2-extensions and Gross conjecture over Q.
- Sci.
China Math. 53 (2010), no. 9, 2447–2462.

*Thesis*- The arithmetic and geometry of genus four
curves.

*Columbia University 2014*. PDF