Zane Kun Li

An introduction to decoupling and harmonic analysis over Q_p

AMS Contemporary Mathematics. https://arxiv.org/abs/2209.01644

Strichartz inequalities: some recent developments

(2024, March 13). https://arxiv.org/abs/2310.15306

A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem

MATHEMATIKA, 70(1).

Improved discrete restriction for the parabola

Mathematical Research Letters.

Mixed Norm l<SUP>2</SUP> Decoupling for Paraboloids

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(20), 17972–18000.

Mixed norm l2 decoupling for paraboloids

(ArXiv Preprint No. 2303.04773).

A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem

(ArXiv Preprint No. 2207.01097).

An introduction to decoupling and harmonic analysis over Qp

(ArXiv Preprint No. 2209.01644).

Decoupling for fractal subsets of the parabola

Mathematische Zeitschrift, 301(2), 1851–1879.

A bilinear proof of decoupling for the cubic moment curve

Transactions of the American Mathematical Society, 374(08), 5405–5432.

A short proof of ℓ2 decoupling for the moment curve

American Journal of Mathematics, 143(6), 1983–1998.

An $l^2$ decoupling interpretation of efficient congruencing: the parabola

Revista Matemática Iberoamericana, 37(5), 1761–1802.

Improved discrete restriction for the parabola

(ArXiv Preprint No. 2103.09795).

EFFECTIVE <i>l <sup>2 DECOUPLING FOR THE PARABOLA

Mathematika, 66(3), 681–712.

Decoupling for the parabola and connections to efficient congruencing

(Ph.D. dissertation, University of California Los Angeles). https://escholarship.org/uc/item/0cz3756c.

Elliptic curves with full 2-torsion and maximal adelic Galois representations

Mathematics of Computation, 83(290), 2925–2951.

Quadratic twists of elliptic curves with 3-Selmer rank 1

International Journal of Number Theory, 10(05), 1191–1217.

Arithmetic properties of Picard–Fuchs equations and holonomic recurrences

Journal of Number Theory, 133(8), 2770–2793.

A normal form for cubic surfaces

International Journal of Algebra, 4(5), 233–239.

A normal form for cubic surfaces

International Journal of Algebra. http://www.m-hikari.com/ija/ija-2010/ija-5-8-2010/liIJA5-8-2010.pdf

On a special case of the intersection of quadric and cubic surfaces

Journal of Pure and Applied Algebra, 214(11), 2078–2086.

Counting powers of words in monoids

European Journal of Combinatorics, 30(5), 1297–1308.