Physical & Biological Sciences Division
Assistant Professor
Faculty
McHenry Library
4157
Mathematics Department
Roozbeh Gharakhloo studies the asymptotic behavior of principal objects in mathematical physics and random matrix theory which have a characterization in terms of structured determinants and/or a system of orthogonal polynomials. A primary objective in his work has been to expand the application of the Riemann-Hilbert approach to studying the asymptotic properties of various structured determinants, including Toeplitz and Hankel determinants, as well as their altered forms like Toeplitz+Hankel, bordered Toeplitz, framed Toeplitz, and more general forms such as pj‑qk or slant Toeplitz determinants.