Zane Kun Li

North Carolina State University — United States

Mathematics · Physical Sciences

5h-index70citations30works0.02yr avg
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Research Topics

Advanced Harmonic Analysis Research(12), Mathematical Analysis and Transform Methods(12), Advanced Mathematical Physics Problems(7), Algebraic Geometry and Number Theory(5), Mathematical Approximation and Integration(5)

Publications30 total

An Improved Example for an Autoconvolution Inequality
Experimental Mathematics·2026
A Weighted Formulation of Refined Decoupling and Inequalities of Mizohata–Takeuchi-Type for the Moment Curve
Journal of Geometric Analysis·2025Open Access
A weighted formulation of refined decoupling and inequalities of Mizohata-Takeuchi-type for the moment curve
arXiv (Cornell University)·2025Open Access
An introduction to decoupling and harmonic analysis over ℚ_{𝕡}
Contemporary mathematics - American Mathematical Society·2024
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
Mathematika·2023· 2 citedOpen Access
Strichartz inequalities: some recent developments
arXiv (Cornell University)·2023Open Access
Mixed Norm <i>l</i>2 Decoupling for Paraboloids
International Mathematics Research Notices·2023Open Access
Mixed norm $l^2$ decoupling for paraboloids
arXiv (Cornell University)·2023Open Access
Improved discrete restriction for the parabola
Mathematical Research Letters·2023· 3 citedOpen Access
An introduction to decoupling and harmonic analysis over $\mathbb{Q}_p$
arXiv (Cornell University)·2022Open Access
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
arXiv (Cornell University)·2022· 1 citedOpen Access
Decoupling for fractal subsets of the parabola
Mathematische Zeitschrift·2022· 6 cited
Improved discrete restriction for the parabola
arXiv (Cornell University)·2021· 1 citedOpen Access
An $l^2$ decoupling interpretation of efficient congruencing: the parabola
Revista Matemática Iberoamericana·2021· 9 citedOpen Access
A bilinear proof of decoupling for the cubic moment curve
Transactions of the American Mathematical Society·2021· 7 citedOpen Access
A short proof of ℓ2 decoupling for the moment curve
American Journal of Mathematics·2021· 12 cited
Decoupling for fractal subsets of the parabola
arXiv (Cornell University)·2020· 1 citedOpen Access
EFFECTIVE <i>l</i> <sup>2</sup> DECOUPLING FOR THE PARABOLA
Mathematika·2020· 4 cited
A short proof of $\ell^2$ decoupling for the moment curve
arXiv (Cornell University)·2019· 7 citedOpen Access
A bilinear proof of decoupling for the cubic moment curve
arXiv (Cornell University)·2019· 5 citedOpen Access
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Frequent Co-authors

Po‐Lam Yung(11), Shaoming Guo(6), José Madrid(4), Tony Feng(3), Sarah Trebat-Leder(3), Pavel Zorin‐Kranich(2), Alan Chang(2), Jaume de Dios Pont(2), Rachel Greenfeld(2), Asgar Jamneshan(2), Alexander Walker(2), Brian J. Cook(2), Akshat Mudgal(2), Olivier Robert(2), David Corwin(2), S. P. Venkata Dasu(2), Hongki Jung(2), Anthony Carbery(2), Kevin Hughes(1), Kevin S. Hughes(1)