Mingfeng Chen

most citedRational points near planar flat curves

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.NT2026

Sharp Bounds for Rational Points Near Space Curves

Mingfeng Chen, Andreas Seeger, Rajula Srivastava +1

Let $Q \geq 1$ be large, and $δ \in (0, 1)$ be small. Denote by $C \subset R^{3}$ a sufficiently smooth curve with non-vanishing curvature and torsion. How many rational…

math.NT2026★ 1 cited

Rational points near planar flat curves

Mingfeng Chen

We establish asymptotic formulas for counting rational points near finite type curves on the plane, generalizing Huang's result.

math.CA2025

Restriction and Kakeya maximal estimates in $R^{4}$

Tainara Borges, Tiklung Chan, Mingfeng Chen +3

By combining the planebrush argument of Katz and Zahl \cite{katz21} with the decoupling-incidence method of Wang and Wu \cite{WangWu2024}, we derive new bounds for the Fourier rest…

math.CA2025

Oscillatory integral operators and variable SchrÃ¶dinger propagators: beyond the universal estimates

Mingfeng Chen, Shengwen Gan, Shaoming Guo +3

We consider a class of HÃ¶rmander-type oscillatory integral operators in $R^{n}$ for $n \geq 3$ odd with real analytic phase. We derive weak conditions on the phase which en…

math.CA2025

A multi-parameter cinematic curvature

Mingfeng Chen, Shaoming Guo, Tongou Yang

We state a multi-parameter cinematic curvature condition, and prove $L^{p}$ bounds for related maximal operators. In particular, we verify a local smoothing conjecture of Zahl.

Sharp Bounds for Rational Points Near Space Curves

Rational points near planar flat curves

Restriction and Kakeya maximal estimates in R4

Oscillatory integral operators and variable SchrÃ¶dinger propagators: beyond the universal estimates

A multi-parameter cinematic curvature

Restriction and Kakeya maximal estimates in $R^{4}$