article published yes Rowan Killip author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca We prove scale-invariant Strichartz inequalities for the Schrödinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a simpler treatment of local well-posedness of the energy-critical nonlinear Schrödinger equation in dimensions three and four. International Press2016 eng 1073-2780 1945-001X 1409.360310.4310/mrl.2016.v23.n2.a8 232445-472 yes Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates on Tori and Applications.” <i>Mathematical Research Letters</i>, vol. 23, no. 2, International Press, 2016, pp. 445–72, doi:<a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">10.4310/mrl.2016.v23.n2.a8</a>. R. Killip, M. Vişan, Mathematical Research Letters 23 (2016) 445–472. Killip R, Vişan M. Scale-invariant Strichartz estimates on tori and applications. <i>Mathematical Research Letters</i>. 2016;23(2):445-472. doi:<a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">10.4310/mrl.2016.v23.n2.a8</a> Killip R, Vişan M. 2016. Scale-invariant Strichartz estimates on tori and applications. Mathematical Research Letters. 23(2), 445–472. Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates on Tori and Applications.” <i>Mathematical Research Letters</i>. International Press, 2016. <a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">https://doi.org/10.4310/mrl.2016.v23.n2.a8</a>. Killip, R., &#38; Vişan, M. (2016). Scale-invariant Strichartz estimates on tori and applications. <i>Mathematical Research Letters</i>. International Press. <a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">https://doi.org/10.4310/mrl.2016.v23.n2.a8</a> R. Killip and M. Vişan, “Scale-invariant Strichartz estimates on tori and applications,” <i>Mathematical Research Letters</i>, vol. 23, no. 2. International Press, pp. 445–472, 2016. 220732026-06-19T08:22:27Z2026-06-30T10:59:10Z