Upper bounds for |L(1,chi)|
Upper bounds on L-functions at the edge of the critical strip
Upper bounds on the solutions to $n = p+m^2$
Using elliptic curves of rank one towards the undecidability of Hilbert's Tenth Problem over rings of algebraic integers
Using hyperelliptic curves to find positive polynomials that are not a sum of three squares in R(x, y)
Using Indices of Points on an Elliptic Curve to Construct A Diophantine Model of $\Z$ and Define $\Z$ Using One Universal Quantifier in Very Large Subrings of Number Fields, Including $\Q$
Using Lucas Sequences to Generalize a Theorem of Sierpiński
Using the smoothness of p-1 for computing roots modulo p