3,124 reputation
3841
bio website math.uwaterloo.ca/~y28xiao
location Waterloo, ON
age 27
visits member for 3 years, 11 months
seen 2 hours ago

PHD Candidate in Pure Mathematics, University of Waterloo. I am being advised by Professor Cameron Stewart, FRSC.

I am interested in analytic number theory, prime number theory, transcendence theory, and power-free values of polynomials. In particular I work on problems involving applications and generalizations of the determinant methods pioneered by Bombieri/Pila, Heath-Brown, and Salberger, including the real analytic determinant method, the approximate determinant method of Heath-Brown, and the global determinant method of Salberger (an extension of the $p$-adic determinant method of Heath-Brown), as well as other potential variants.


Oct
17
comment Equidistribution of rational points on an algebraic variety
Can the above happen for an infinite set $(p,q)$ of primes?
Oct
17
asked Equidistribution of rational points on an algebraic variety
Oct
6
reviewed Approve suggested edit on $C_0$ semigroups on parameterized Banach spaces or moving domains
Sep
30
awarded  Explainer
Sep
25
awarded  Good Question
Sep
18
reviewed Approve suggested edit on Intersecting Family of Triangulations
Sep
6
revised A question on degree 4 binary forms
edited incorrect arithmetic
Sep
3
asked Characterizations of those binary forms which represent unity
Sep
2
comment A question on degree 4 binary forms
Yes, I forgot to put in the primitive condition in there, my apologies
Sep
2
revised A question on degree 4 binary forms
added 12 characters in body
Sep
1
comment A question on degree 4 binary forms
I added my motivation to the question in the body of the question.
Sep
1
revised A question on degree 4 binary forms
added 1440 characters in body
Sep
1
asked A question on degree 4 binary forms
Aug
25
comment $f(x)$ is irreducible but $f(x^n)$ is reducible
The polynomial $f(x) = x^2 + 1$ has the property that $f(x^n)$ is reducible except when $n$ is a power of 2, so it misses a very thin set.
Aug
19
revised Power free values of reducible polynomials
added 974 characters in body
Aug
19
answered Power free values of reducible polynomials
Aug
19
revised Power free values of reducible polynomials
fixed the latex
Aug
12
accepted How should the degree of a variety be defined in a weighted projective space?
Aug
10
reviewed Approve suggested edit on Geometric / physical / probabilistic interpretations of Riemann zeta(n>1)?
Aug
3
reviewed Approve suggested edit on A model structure on marked simplicial sets