Zane Li

Cook, B., Hughes, K., Li, Z. K., Mudgal, A., Robert, O., & Yung, P.-L. (2024). A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem. MATHEMATIKA, 70(1). https://doi.org/10.1112/mtk.12231

Dasu, S., Jung, H., Li, Z. K., & Madrid, J. (2023). Mixed Norm l<SUP>2</SUP> Decoupling for Paraboloids. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(20), 17972–18000. https://doi.org/10.1093/imrn/rnad226

Dasu, S., Jung, H., Li, Z. K., & Madrid, J. (2023). Mixed norm l2 decoupling for paraboloids (ArXiv Preprint No. 2303.04773). https://doi.org/10.48550/arXiv.2303.04773

Cook, B., Hughes, K., Li, Z. K., Mudgal, A., Robert, O., & Yung, P.-L. (2022). A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem (ArXiv Preprint No. 2207.01097). https://doi.org/10.48550/arXiv.2207.01097

Li, Z. K. (2022). An introduction to decoupling and harmonic analysis over Qp (ArXiv Preprint No. 2209.01644). https://doi.org/10.48550/arXiv.2209.01644

Chang, A., Dios Pont, J. de, Greenfeld, R., Jamneshan, A., Li, Z. K., & Madrid, J. (2022). Decoupling for fractal subsets of the parabola. Mathematische Zeitschrift, 301(2), 1851–1879. https://doi.org/10.1007/s00209-021-02950-0

Guo, S., Li, Z. K., & Yung, P.-L. (2021). A bilinear proof of decoupling for the cubic moment curve. Transactions of the American Mathematical Society, 374(08), 5405–5432. https://doi.org/10.1090/tran/8363

Guo, S., Li, Z. K., Yung, P.-L., & Zorin-Kranich, P. (2021). A short proof of ℓ2 decoupling for the moment curve. American Journal of Mathematics, 143(6), 1983–1998. https://doi.org/10.1353/ajm.2021.0048

Li, Z. K. (2021). An $l^2$ decoupling interpretation of efficient congruencing: the parabola. Revista Matemática Iberoamericana, 37(5), 1761–1802. https://doi.org/10.4171/rmi/1248

Guo, S., Li, Z. K., & Yung, P.-L. (2021). Improved discrete restriction for the parabola (ArXiv Preprint No. 2103.09795). https://doi.org/10.48550/arXiv.2103.09795

Li, Z. K. (2020). EFFECTIVE
            <i>l
            <sup>2
            DECOUPLING FOR THE PARABOLA. Mathematika, 66(3), 681–712. https://doi.org/10.1112/mtk.12038

A bilinear proof of decoupling for the cubic moment curve. (2019, June 19).

A short proof of $\ell^2$ decoupling for the moment curve. (2019, December 20).

Li, Z. K. (2019). Decoupling for the parabola and connections to efficient congruencing (Ph.D. dissertation, University of California Los Angeles). Retrieved from https://escholarship.org/uc/item/0cz3756c.

An $l^2$ decoupling interpretation of efficient congruencing: the parabola. (2018, May 26).

Effective $l^2$ decoupling for the parabola. (2017, November 3).

Corwin, D., Feng, T., Li, Z., & Trebat-Leder, S. (2014). Elliptic curves with full 2-torsion and maximal adelic Galois representations. Mathematics of Computation, 83(290), 2925–2951. https://doi.org/10.1090/s0025-5718-2014-02804-4

Li, Z. K. (2014). Quadratic twists of elliptic curves with 3-Selmer rank 1. International Journal of Number Theory, 10(05), 1191–1217. https://doi.org/10.1142/s1793042114500213

Arithmetic Properties of Picard-Fuchs Equations and Holonomic Recurrences. (2013, March 31).

Li, Z. K., & Walker, A. W. (2013). Arithmetic properties of Picard–Fuchs equations and holonomic recurrences. Journal of Number Theory, 133(8), 2770–2793. https://doi.org/10.1016/j.jnt.2013.02.001

Elliptic Curves with Full 2-Torsion and Maximal Adelic Galois Representations. (2012).

A normal form for cubic surfaces. (2010). International Journal of Algebra. Retrieved from http://www.m-hikari.com/ija/ija-2010/ija-5-8-2010/liIJA5-8-2010.pdf

Li, Z. K. (2010). A normal form for cubic surfaces. International Journal of Algebra, 4(5), 233–239.

Li, Z. K. (2010). On a special case of the intersection of quadric and cubic surfaces. Journal of Pure and Applied Algebra, 214(11), 2078–2086. https://doi.org/10.1016/j.jpaa.2010.02.013

Humphries, S. P., & Li, Z. K. (2009). Counting powers of words in monoids. European Journal of Combinatorics, 30(5), 1297–1308. https://doi.org/10.1016/j.ejc.2008.10.005