60 citations · 151 across the 48 of their papers we have counts for
59 papers
Diameter-free reverse inequalities and superorthogonality
Adam Cushman, Ciprian Demeter, Shukun Wu
We prove three results as part of the program of diameter-free estimates initiated in [CDW26]. The first two are reverse square function estimates for the light cone in $\mathbb{R}…
Near optimal three-fold additive energy bound for points on convex curves
Adam Cushman, Ciprian Demeter, Shukun Wu
Let be finite and let , where is strictly convex. We show that \[ J_3(γ(X)) =\#\{(x_1,\ldots,x_6)\in X^6:\sum_{i=1}^3γ(x_i)=\sum_{i=4}^6γ(x_…
Decoupling for AD-regular sets on the parabola
Ciprian Demeter, Yuqiu Fu
We improve the decoupling exponent for functions with spectrum inside AD-regular collections of arcs on the parabola. We achieve this by incorporating recent Szemerédi--Trotter-typ…
New discretised polynomial expander and incidence estimates
Ciprian Demeter, William O'Regan
We present two applications of recent developments in incidence geometry. One is a -discretised version of a particular `Elekes--Rónyai' expander problem. The second application…
Incidence estimates for quasi-product sets and applications
Ciprian Demeter, William O'Regan
We use recent advances in the theory of Furstenberg sets to prove new incidence results of Szemerédi--Trotter strength for -discretized structures with Cartesian product flavor.…
Restriction and decoupling estimates for the hyperbolic paraboloid in
Ciprian Demeter, Shukun Wu
We prove bilinear -decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in . As an application, we prove the associ…