I am currently a postdoctoral fellow in the department of Mathematics at Colorado State University working with Prof. Ken McLaughlin. I got my PhD in Mathematics from Indiana University Purdue University Indianapolis under supervision of Prof. Alexander Its in August 2019.

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RIEMANN-HILBERT PROBLEMS weekly seminar

Research Interests

  • Riemann-Hilbert Problems
  • Orthogonal Polynomials and Structured Determinants
  • Random Matrix Theory
  • Statistical Mechanics

Publications and Preprints

  1. Roozbeh Gharakhloo and Nicholas Witte. Modulated Bi-orthogonal Polynomials on the Unit Circle: The 2j−k and j−2k Systems (2021) Submitted to Constructive Approximation.
  2. Christophe Charlier and Roozbeh Gharakhloo. Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities.
    Advances in Mathematics (2021).
    DOI: https://doi.org/10.1016/j.aim.2021.107672
  3. Roozbeh Gharakhloo and Alexander Its. A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants.
    Symmetry, Integrability and Geometry: Methods and Applications(2020).
    DOI: https://doi.org/10.3842/SIGMA.2020.100
  4. Roozbeh Gharakhloo, Alexander Its, and Karol Kozlowski. Riemann–Hilbert approach to a generalized sine kernel.
    Letters in Mathematical Physics (2020).
    DOI: https://doi.org/10.1007/s11005-019-01218-3.
  5. Estelle Basor, Torsten Ehrhardt, Roozbeh Gharakhloo, Alexander Its, and Yuqi Li. Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations.(2020)

Dissertation

Asymptotic Analysis of Structured Determinants via the Riemann-Hilbert Approach (2019)

Teaching

At CSU

  • Math530: Mathematics for Scientists and Engineers. Fall 2019
  • Math160: Calculus for Physical Scientists I. Fall 2019
  • Math332: Partial Differential Equations. Spring 2020
  • Math530: Mathematics for Scientists and Engineers. Fall 2020
  • Math141: Calculus in Management Sciences. Spring 2021
  • Math332: Partial Differential Equations. Spring 2021

At IUPUI

  • Math119: Brief Survey of Calculus I. Summer 2015, Fall 2018
  • Math221: Calculus for Technology I. Spring 2018
  • Math222: Calculus for Technology II. Spring 2016, Summer 2016, Spring 2017
  • Math154: Trigonometry. Fall 2018


Contact info:

Address: Weber 129
Colorado State University
Department of Mathematics
1874 Campus Delivery
Fort Collins, CO 80523-1874

Email: roozbeh dot gharakhloo at colostate dot edu