Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, IL, 61801
USA
Email Address:
xiannan (at) illinois (dot) edu
About me
I am a J.L. Doob Research Assistant Professor at the University of Illinois at Urbana-Champaign. Previously, I was a graduate student working with Professor Soundararajan.
Research Interest
I am interested in analytic number theory, specifically L-functions and objects related to them.
Papers and preprints
Additive twists of Fourier coefficients of GL(3) Maass forms. Preprint.
(with Y. Lamzouri and K. Soundararajan) On the least quadratic non-residue, values of $L$-functions at $s=1$ and related problems. Preprint.
(With V. Chandee) Lower bounds for small fractional moments of Dirichlet L-functions. Preprint.
The smallest prime that does not split completely in a number field. To appear, Algebra and Number Theory. Preprint.
Upper bounds on L-functions at the edge of the critical strip. Link. International Math Research Notices. It is also available on arXiv. Pdf.
Variation of the Riemman $\Xi$ function off the critical line Link, Acta Arithmetica 137 (2009), 277-284. It is also available on arXiv.
Teaching
In Spring of 2012, I am teaching Math 453. In Fall of 2011, I am teaching Math 347. Previously, at Stanford, I have taught Math 41, and Math 52, Math 52H, Math 53, and Math 19.