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Strichartz inequalities: some recent developments, to appear in a memorial volume dedicated to Robert Strichartz. |
Jianhui Li, Po-Lam Yung |
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Mixed norm l^2 decoupling for paraboloids, International Mathematics Research Notices, Vol. 2023, no. 20, 17972-18000. |
Shival Dasu, Hongki Jung, José Madrid |
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An introduction to decoupling and harmonic analysis over Q_p, AMS Contemporary Mathematics 792 (2024), 67-94. |
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A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem, Mathematika 70 (2024), no.1, e12231. |
Brian Cook, Kevin Hughes, Akshat Mudgal, Olivier Robert, Po-Lam Yung |
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Improved discrete restriction for the parabola, Mathematical Research Letters 30 (2023), no. 5, 1375-1409. |
Shaoming Guo, Po-Lam Yung |
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Decoupling for fractal subsets of the parabola, Mathematische Zeitschrift 301 (2022), 1851–1879. |
Alan Chang, Jaume de Dios Pont, Rachel Greenfeld, Asgar Jamneshan, José Madrid |
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A short proof of l^2 decoupling for the moment curve, American Journal of Mathematics 143 (2021), no. 6, 1983–1998. |
Shaoming Guo, Po-Lam Yung, Pavel Zorin-Kranich |
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A bilinear proof of decoupling for the cubic moment curve, Transactions of the American Mathematical Society, 374 (2021), no. 8, 5405–5432. |
Shaoming Guo, Po-Lam Yung |
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An l^2 decoupling interpretation of efficient congruencing: the parabola, Revista Matematica Iberoamericana, 37 (2021), no. 5, 1761–1802. |
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Effective l^2 decoupling for the parabola, Mathematika 66 (2020), no. 3, 681–712. |
Appendix joint with Jean Bourgain |
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Decoupling for the parabola and connections to efficient congruencing, PhD Thesis, 2019. |
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Quadratic twists of elliptic curves with 3-Selmer rank 1, International Journal of Number Theory, 10 (2014), no. 5, 1191–1217. |
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Elliptic curves with full 2-torsion and maximal adelic Galois representations, Mathematics of Computation, 83 (2014), no. 290, 2925–2591. |
David Corwin, Tony Feng, Sarah Trebat-Leder |
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Arithmetic properties of Picard-Fuchs equations and holonomic recurrences, Journal of Number Theory, 133 (2013), no. 8, 2770–2793. |
Alexander W. Walker |
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A normal form for cubic surfaces, International Journal of Algebra, 4 (2010), no. 5, 233–239. |
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On a special case of the intersection of quadric and cubic surfaces, Journal of Pure and Applied Algebra, 214 (2010), no. 11, 2078–2086. |
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Counting powers of words in monoids, European Journal of Combinatorics, 30 (2009), no. 5, 1297–1308. |
Stephen P. Humphries |