3,210 reputation
31141
bio website math.uwaterloo.ca/~y28xiao
location Waterloo, ON
age 27
visits member for 4 years, 1 month
seen 7 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.


19h
awarded  Good Question
1d
awarded  Notable Question
Dec
10
reviewed Approve Differential Algebra Book
Dec
8
asked Questions on roots of integral polynomials over $\mathbb{F}_p$
Dec
7
comment Large solutions to Thue equations
I added a condition to eliminate this particular counter-example, which as you noted is quite obvious.
Dec
7
revised Large solutions to Thue equations
added 103 characters in body
Dec
5
asked Large solutions to Thue equations
Dec
5
accepted A question on how polynomials split over $\mathbb{F}_p$ for large primes $p$
Dec
5
asked A question on how polynomials split over $\mathbb{F}_p$ for large primes $p$
Nov
27
revised Do we know that 'most' finite groups are Galois groups of number fields?
added 6 characters in body
Nov
27
revised Do we know that 'most' finite groups are Galois groups of number fields?
added 2 characters in body
Nov
27
revised Do we know that 'most' finite groups are Galois groups of number fields?
deleted 4 characters in body
Nov
27
asked Do we know that 'most' finite groups are Galois groups of number fields?
Nov
27
revised a question about connected open sets in $R^2$
added 27 characters in body
Nov
26
revised p-power roots of unity in local fields
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Nov
26
revised p-power roots of unity in local fields
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Nov
26
reviewed Edit p-power roots of unity in local fields
Nov
26
revised p-power roots of unity in local fields
corrected LaTeX
Nov
26
revised p-power roots of unity in local fields
added 39 characters in body
Nov
26
revised Why do Bernoulli numbers arise everywhere?
Added a little bit of TeX