Jeff Viaclovsky

activity

20012026

most citedEstimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds

128 citations · 429 across the 36 of their papers we have counts for

collaborators

44 papers

cs.DS2026

Subset Sum via Partial Match

Lixi Ye, Baitian Li

We show that the subset sum problem can be solved in time $O (2^{0.499999 n})$ , breaking the $2^{n /2}$ meet-in-the-middle barrier. Our approach builds on the representation technique…

math.AG2026

A two-parameter family of complex structures on $S^{6}$

Jeff Viaclovsky

We construct a two-parameter family of complex structures on the standard six-sphere, starting from a rational elliptic surface with singular fibers $I I I^{*}, I_{1}, I_{1}, I_{1}$ . The result…

math.DG2026

Collapsing constant scalar curvature metrics

Jeff Viaclovsky, Xiaokang Wang

We prove that a sequence of constant scalar curvature (CSC) metrics which is collapsing with bounded curvature to a manifold $(X, g_{\infty})$ can be perturbed to a sequence of $\ma…

math.AG2025

Some remarks on fibrations in complex geometry

Nobuhiro Honda, Jeff Viaclovsky

In this article, we discuss some properties of holomorphic fibrations in the complex analytic setting.

math.AG2024

Fibrations on the 6-sphere and Clemens threefolds

Nobuhiro Honda, Jeff Viaclovsky

Let $Z$ be a compact, connected $3$ -dimensional complex manifold with vanishing first and second Betti numbers and non-vanishing Euler characteristic. We prove that there is no sur…

math.DG2021★ 6 cited

Conformally prescribed scalar curvature on orbifolds

Tao Ju, Jeff Viaclovsky

We study the prescribed scalar curvature problem in a conformal class on orbifolds with isolated singularities. We prove a compactness theorem in dimension $4$ , and an existence th…