Fernando Xuancheng Shao
Department of Mathematics
381-N Sloan Hall
Stanford, CA 94305
Email address: xshao at math dot stanford dot edu
I am a fifth year math PhD student at Stanford University. My advisor is Prof. K. Soundararajan. My research interests include analytic number theory and additive combinatorics.
In Spring 2014, I am a teaching assistant for Math 21.
On an inverse ternary Goldbach problem.
Finding linear patterns of complexity one. Int. Math. Res. Notices. To appear.
Carries, group theory, and additive combinatorics (with Persi Diaconis and Kannan Soundararajan). Amer. Math. Monthly
Large values of the additive energy in R^d and Z^d, Math. Proc. Camb. Phil. Soc. (2014) 156: 327–341.
A new proof of Vinogradov's three primes theorem.
Character sums over unions of intervals. Forum Math. To appear.
A density version of the Vinogradov three primes theorem, Duke Math. J. 163 (2014), no. 3, 489–512.
On character sums and exponential sums over generalized arithmetic progressions, Bull. Lond. Math. Soc. 45 (2013), no. 3, 541–550.