Department of Mathematics

Nazarbayev University

53 Kabanbay Batyr Ave, Block 7,

Office 7.229

010000 Nur-Sultan, Kazakhstan

E-mail: alejandro.castilla(at)nu.edu.kz

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.)

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