T. Wooley

activity

20032026

most citedThe cubic case of the main conjecture in Vinogradov's mean value theorem

144 citations · 741 across the 67 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.NT2023

On $2$ -superirreducible polynomials over finite fields

Jonathan W. Bober, Lara Du, Dan Fretwell +2

We investigate $k$ -superirreducible polynomials, by which we mean irreducible polynomials that remain irreducible under any polynomial substitution of positive degree at most $k$ .…

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…

math.NT2023★ 3 cited

On Waring's problem: beyond Freiman's theorem

Joerg Bruedern, Trevor D. Wooley

Let $k_{i} \in N$ $(i \geq 1)$ satisfy $2 \leq k_{1} \leq k_{2} \leq \dots$ . Freiman's theorem shows that when $j \in N$ , there exists $s = s (j) \in N$ such that all large i…

On 2-superirreducible polynomials over finite fields

Condensation and densification for sets of large diameter

Rational lines on diagonal hypersurfaces and subconvexity via the circle method

On Waring's problem: beyond Freiman's theorem

On $2$ -superirreducible polynomials over finite fields