Alex D. Rodriguez. “Blow-up criteria for the 1D NLS with combined nonlinearities”. Studies in Applied Mathematics 157, no. 2 (2026): e70272. Article Link. ArXiv link: arxiv.org/abs/2602.21040
O. Riaño, Alex D. Rodriguez, S. Roudenko. “The nonlinear Schrödinger equation with combined nonlinearities in 1D”. Nonlinearity 39 no. 5, (2026). Article Link. ArXiv link: arxiv.org/abs/2602.16122
A. Millet, Alex D. Rodriguez, S. Roudenko, K. Yang. 2021. “Behavior of solutions to the 1d focusing stochastic nonlinear Schrödinger equation with spatially correlated noise.” Stochastics and Partial Differential Equations: Analysis and Computations, March 14, 2021. Article Link. ArXiv link: arxiv.org/abs/2006.10695
Alex D. Rodriguez, G. Azcoitia, S. Roudenko, H. Wubben. “Review of well-posedness methods for the 1D nonlinear Schrödinger equation with an application to combined nonlinearities.” To appear in Involve a Journal of Mathematics. ArXiv link: arxiv.org/abs/2608.13849
C. Haight, Alex D. Rodriguez, S. Roudenko. “Soliton Profiles in 1D: Enhanced Neural-Network Solvers and Constrained Deep Ritz Methods”. Submitted
Purroy, Alex D. Rodriguez, Roudenko. “Well-posedness in Weighted Spaces for the inhomogeneous NLS”. Preprint
Petrenko, Riaño, Alex D. Rodriguez, Roudenko. “The nonlinear Schrödinger equation with combined nonlinearities in higher dimensions”. Preprint
Riaño, Alex D. Rodriguez. “Well posedness for the nonlinear Klein Gordon equation”. In Progress
Screening and Designing New Metal/alloy Carriers for Efficient H2 Storage.
(NETL, Pittsburgh PA)
My tasks included data processing and collection from the calculations and using firstprinciples techniques to study the material Magnesium Borohydride. I employed my problemsolving and programming skills to write scripts to streamline the data collection andvisualization.