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I am a Lecturer at the Department of Applied Mathematics at Santa Clara University
My research work focuses on Harmonic Analysis, which can be considered as the mathematical theory of waves.
A key concept in the field is that functions can be represented as sums of waves that oscillate at different frequencies. These decompositions can be used to solve a large variety of problems in Mathematics, Science, and Engineering. Examples of such waves include plane waves, wavelets, wave packets, and in general, eigenfunctions of a differential operator with different energy levels.
I have an interest in the application of Harmonic Analysis to the study of Partial Differential Equations, Spectral Theory, signal processing, and the development of Numerical Methods for the fast evaluation of dense matrices.
Contact information:
Office: Heafey Hall, 117