Research

Free Probability, Random Matrix Theory and Non Commutative Function theory.

Preprints

Spectrum of a random unitary linear pencil
Figure 1. Approximate spectrum of a random unitary linear pencil with coefficient matrices: \[ X_1 = \begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}, \quad X_2 = \begin{bmatrix} 0 & 1 \\ 1 & 2 \end{bmatrix}. \]

Expository Writing

Framework for Commutative and Non-commutative Probability Theory

Zeros of Stable NC-Polynomials

History

timeline RMT and Free Probability
Figure 2. Historical development of RMT and Free Probability.
timeline Strong Szego
Figure 3. Historical development of the Strong Szego Limit Theorem.