HANG XUE
Associate 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 (Aug. 2022).

Research

• Preprint
• (With P. Boisseau and W. Lu) The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups
• PDF
  
• Bessel models for unitary groups and Schwartz homology
• PDF
  
• Publications
• Fourier--Jacobi models for real unitary groups
• To appear in J. Funct. Anal. PDF
  
• (With W. Zhang) Twisted linear periods and a new relative trace formula
• To appear in Peking Math J. PDF
  
• (With M. Suzuki) Linear intertwining periods and epsilon dichotomy for linear models
• Math Ann. 388 (2024), 3589–3626 PDF
  
• Bessel models for real unitary groups: the tempered case
• Duke Math. J. 172 (2023), no. 5, 995–1031, PDF
  
• Orbital integrals on GL_n(F) \times GL_n(F) \backslash GL_{2n}(F)
• Canad. J. Math. 74 (2022), no. 3, 858–886, PDF
  
• Epsilon dichotomy for linear models.
• Algebra Number Theory 15 (2021), no. 1, 173–215, PDF
  
• On the global Gan--Gross--Prasad conjecture for unitary groups: approximating smooth transfer of Jacquet--Rallis,
  
• J. Reine Angew. Math. 756 (2019), 65–100. PDF
• Central values of degree six L-functions.
• J. Number Theory 203 (2019), 350–359. PDF
  
• Arithmetic Theta lifts and the arithmetic Gan--Gross--Prasad conjecture.
• Duke Math. J., 168 (2019), no. 1, 127-185. PDF
• Fourier--Jacobi periods of classical Saito--Kurokawa lifts,
  
• Ramanujan J. 45 (2018), no. 1, 111–139. PDF
  
• Refined global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on symplectic groups.
  
• Compos. Math. 153 (2017), no. 1, 68–131, 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