RESEARCH INTERESTS

Harmonic Analysis and its applications to Partial Differential Equations

• Quantum Computing for solving PDE's

• Neural Networks for solving PDE's

• Nonlinear dispersive PDE's

• Oscillatory integrals

• Well-posedness of low regularity parabolic equations

• Singular operators associated with orthogonal systems (Bessel, Hermite, Laguerre, Jacobi, etc.)