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

- (with M. Radziwill) The Riemann-zeta function on vertical arithmetic progressions Preprint.

- Additive twists of Fourier coefficients of GL(3) Maass forms. Preprint. To appear, Proceedings of the AMS.

- (with Y. Lamzouri and K. Soundararajan) On the least quadratic non-residue, values of $L$-functions at $s=1$ and related problems.

- (With V. Chandee) Lower bounds for small fractional moments of Dirichlet L-functions. Preprint. To appear, International Math Research Notices.

- 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.

Teaching

Links

Number Theory seminar at UIUC.