Shengwen Gan

activity

20132026

most citedThree-body force effect on off-shell mass operator and spectral functions in nuclear matter

16 citations · 28 across the 22 of their papers we have counts for

collaborators

23 papers

math.CA2026

Sharp rational points counting near nondegenerate curves in $R^{n}$

Shengwen Gan, Shaoming Guo, Changkeun Oh

We establish sharp bounds for rational points near compact smooth nondegenerate curves in $R^{n}$ , for every $n \geq 4$ . For a nondegenerate curve $C$ in $R^{n}$ …

math.AP2026

Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters

Shengwen Gan, Cheng Zhang, Zhifei Zhu

We prove sharp $k$ -linear $L^{p}$ estimates for Carleson--Sjölin oscillatory integral operators with arbitrary separated frequency scales for all $k \geq 2$ and $1 \leq p \leq \infty$ . The…

math.CA2025

Sharp local smoothing estimates for curve averages

Shengwen Gan, Dominique Maldague, Changkeun Oh

We prove sharp local smoothing estimates for curve averages in all dimensions. As a corollary, we prove the sharp $L^{p}$ boundedness of the helical maximal operator in $\mathbb{R}^4…

math.CA2024

Kakeya problem and projection problem for $k$ -geodesics in Grassmannians

Shengwen Gan

The Kakeya problem in $R^{n}$ is about estimating the size of union of $k$ -planes; the projection problem in $R^{n}$ is about estimating the size of projection of a s…

math.CA2023

A Marstrand projection theorem for lines

Shengwen Gan

Fix integers $1 < k < n$ . For $V \in G (k, n)$ , let $P_{V} : R^{n} \to V$ be the orthogonal projection. For $V \in G (k, n)$ , define the map \[ π_V: A(1,n)\rightarrow A(1,V)\bigsq…

math.CA2023

Restriction estimates for quadratic manifolds of arbitrary codimensions

Shengwen Gan, Larry Guth, Changkeun Oh

The restriction conjecture is one of the famous problems in harmonic analysis. There have been many methods developed in the study of the conjecture for the paraboloid. In this pap…

Sharp rational points counting near nondegenerate curves in Rn

Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters

Sharp local smoothing estimates for curve averages

Kakeya problem and projection problem for k-geodesics in Grassmannians

A Marstrand projection theorem for lines

Restriction estimates for quadratic manifolds of arbitrary codimensions

Sharp rational points counting near nondegenerate curves in $R^{n}$

Kakeya problem and projection problem for $k$ -geodesics in Grassmannians