Trevor D. Wooley

collaborators

2 papers

math.NT2023

Condensation and densification for sets of large diameter

Trevor D. Wooley

Consider a set of integers $A$ having finite diameter $X$ , and a system of simultaneous polynomial equations to be solved over $A$ . In many circumstances, it is k…

math.NT2023

Rational lines on diagonal hypersurfaces and subconvexity via the circle method

Trevor D. Wooley

Fix $k, s, n \in N$ , and consider non-zero integers $c_{1}, \dots, c_{s}$ , not all of the same sign. Provided that $s \geq k (k + 1)$ , we establish a Hasse principle for the existence…