I am a postdoctoral researcher in the Department of Mathematics at University of Toronto. Before coming here, I was a postdoc at SAMSI in North Carolina, USA prior to which, I got my PhD from the Department of Statistics at U.C.Berkeley where my adviser was Prof.
Yuval Peres. I have B.Stat(Hons) and M.Stat degrees in
Statistics from the Indian Statistical Institute at Kolkata and Bangalore, India.
I am a probabilist. My research interests are in random analytic
functions, random matrices and determinantal point processes.
Publications and Preprints
In preparation
Zeros of Gaussian analytic functions and Determinantal point processes (jointly with J.Ben Hough, Yuval Peres
and
Bálint Virág
)
A book, to be published by AMS
Random matrix-valued analytic functions: Generalizations of the circular law
We show that the empirical measure of singular points of a random matrix-valued analytic function with independent entries having covariance kernel K(z,w) converges weakly (as the matrix size tends to infinity) to a deterministic measure whose density is given explicitly in terms of K.
Ph.D Thesis
Zeros of Random Analytic Functions. [arXiv.math.PR/0607504]
Ph.D. thesis. University of California, Berkeley. Spring 2006.
MAT 389 - Complex variables for engineers (fall 2008)
Course outline.