Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity Harrop-Griffiths, Benjamin Killip, Rowan Visan, Monica We consider the cubic defocusing nonlinear Schrödinger equation in one dimension with the nonlinearity concentrated at a single point. We prove global well-posedness in the scaling-critical space L^2(R) and scattering for all such solutions. Moreover, we demonstrate that the same phenomenology holds whenever nonlinear effects are sufficiently concentrated in space. American Mathematical Society 2026 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22097 Harrop-Griffiths B, Killip R, Vişan M. Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity. <i>Proceedings of the American Mathematical Society</i>. 2026. doi:<a href="https://doi.org/10.1090/proc/17760">10.1090/proc/17760</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1090/proc/17760 info:eu-repo/semantics/altIdentifier/issn/0002-9939 info:eu-repo/semantics/altIdentifier/e-issn/1088-6826 info:eu-repo/semantics/altIdentifier/arxiv/2507.14571 info:eu-repo/semantics/openAccess