Stanley Yao Xiao
I am currently a PHD Candidate in Pure Mathematics, University of Waterloo. I am being advised by Professor Cameron Stewart, FRSC. In Fall 2016 I will be starting a Research Fellow at the University of Oxford.
I am interested in analytic number theory, prime number theory, transcendence theory, and powerfree values of polynomials. In particular I work on problems involving applications and generalizations of the determinant methods pioneered by Bombieri/Pila, HeathBrown, and Salberger, including the real analytic determinant method, the approximate determinant method of HeathBrown, and the global determinant method of Salberger (an extension of the $p$adic determinant method of HeathBrown), as well as other potential variants.
Recently, I have been doing work on binary forms and classical invariant theory. In particular, together with my advisor we found the asymptotic formula for the number of integers in an interval which can be represented by a given binary form $F$ of degree $d\geq 3$ with integer coefficients and nonzero discriminant.
 Waterloo, ON
 math.uwaterloo.ca/~y28xiao
 Member for 5 years, 6 months
 7 profile views
 Last seen 2 days ago
Communities (3)
Top Network Posts
 34Famous vacuously true statements
 33Do's and don'ts of writing survey papers
 28Examples of famous 'workhorse' theorems
 25Proving a sequence involved in Apéry's proof of the irrationality of $\zeta(3)$, converges
 22Is the following sum irrational?
 18New proofs to major theorems leading to new insights and results?
 17Cases where the number field case and the function field (with positive characteristic) are different
 View more network posts →
Keeping a low profile.
This user hasn't posted... yet.
Badges (7)
Gold
—

Silver
5
Rarest

Bronze
2
Rarest
