My main research interest is nonlinear dispersive PDE.

I am currently working on global dynamics for nonlinear Schrödinger equations and electromagnetic nonlinear Schrödinger equations, as well as local wellposedness for electromagnetic nonlinear Schrödinger equations.

I am also interested in calculus of variations and isoperimetric inequalities.

• Scattering and Blow-Up in Both Time Directions Above the Ground State for the Focusing Nonlinear Schrödinger Equation. [arXiv]
• Dichotomy Results for the Electromagnetic Schrödinger Equation. (with Magdalena Czubak and Svetlana Roudenko). [arXiv]

• April, 5, 8:30 a.m. EDT : Special Session on Recent Developments in Nonlinear Evolution Equations, AMS Spring Eastern Sectional, Hartford CT


• April, 8, 1:00 p.m. MDT : Thesis Defense, University of Colorado Boulder, Boulder CO

• Special Session on Nonlinear Dispersive Equations, AMS Spring Central Sectional, 2025


• Geometry and Analysis Seminar, University of Colorado Boulder, Colorado, 2024


• AIMS Lab Seminar, McMaster University, Ontario, 2024


• Geometry and Analysis Seminar, University of Colorado Boulder, Colorado, 2024


• Special Session on Progress in Nonlinear Waves, AMS Fall Central Sectional, 2023