papers
Publications (11)
math.NT2013
A Purely Combinatorial Approach to Simultaneous Polynomial Recurrence Modulo 1
Ernie Croot, Neil Lyall, Alex Rice
math.NT2011
Polynomial Differences in the Primes
Neil Lyall, Alex Rice
math.NT2019
Binary Quadratic Forms in Difference Sets
Alex Rice
math.NT2013
Computation on Elliptic Curves with Complex Multiplication
Pete L. Clark, Patrick Corn, Alex Rice +1
math.NT2015
Polynomials and Primes in Generalized Arithmetic Progressions (Revised Version)
Ernie Croot, Neil Lyall, Alex Rice
math.NT2016
Difference Sets and Polynomials
Neil Lyall, Alex Rice
math.CA2019
Sets in $\mathbb{R}^d$ with slow-decaying density that avoid an unbounded collection of distances
Alex Rice
math.NT2014
A Quantitative Result on Diophantine Approximation for Intersective Polynomials
Neil Lyall, Alex Rice
math.CA2017
Group actions and a multi-parameter Falconer distance problem
Kyle Hambrook, Alex Iosevich, Alex Rice
math.CA2015
Sarkozy's Theorem for P-Intersective Polynomials
Alex Rice
math.CA2012
Improved Bounds on Sarkozy's Theorem for Quadratic Polynomials
Mariah Hamel, Neil Lyall, Alex Rice