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Research Interest

Broadly speaking my intereset lies in using the interplay between Spectral Theory and Complex analysis to approach problems in Free Probability and Non-Commutative Funciton theory.

Reading That Inspired Research Interest

J. William Helton, Tobias Mai, Roland Speicher, Applications of realizations (aka linearizations) to free probability, Journal of Functional Analysis, 2018,
(link here)
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Historical Context in the Introductions

Joseph A. Ball, Gregory Marx, Victor Vinnikov, Noncommutative reproducing kernel Hilbert spaces, Journal of Functional Analysis, 2016
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Expository Writing

Survey of Left Multipliers and Norm Preserving Free Lift