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