Rate My Professor Jorge Aarao

Dr Jorge Aarao is a Senior Lecturer in the School of Mathematical Sciences within the College of Sciences at Adelaide University. Originally from Rio de Janeiro, Brazil, where he lived until 1989 and again from 1995 to 1997, Aarao obtained his PhD under the supervision of Richard Beals at Yale University in the United States. He moved to Australia in 2006 and is now eligible to supervise Masters and PhD students, supporting advanced research in mathematical sciences. His career includes prior affiliations with institutions such as the University of South Australia before joining Adelaide University.

Aarao's research interests encompass partial differential equations, analysis, and probability, with a particular emphasis on parabolic, elliptic, and mixed-type equations. His work addresses existence and uniqueness, well-posedness, qualitative behaviour, singular perturbations, regularity, and probabilistic methods in analysis. Key publications include "Fundamental Solutions for Some Partial Differential Operators from Fluid Dynamics and Statistical Physics" in SIAM Review (2007); "Sharp estimates in some inequalities of Zygmund type for Riesz transforms," co-authored with M. D. O'Neill, in Proceedings of the American Mathematical Society (2012); "Extended-domain-eigenfunction method (EDEM): A study of ill posedness and regularization," with S. J. Miklavcic and D. A. Ward, in Journal of Physics A: Mathematical and Theoretical (2013); "Numerical implementation of the EDEM for modified Helmholtz BVPs on annular domains," with B. H. Bradshaw Hajek, S. J. Miklavcic, and D. A. Ward, in Journal of Computational and Applied Mathematics (2011); and "Blended learning in first year engineering mathematics," with D. Quinn, in ZDM Mathematics Education (2020). Earlier contributions feature "A Transport Equation of Mixed Type" in Journal of Differential Equations (1998). Aarao teaches undergraduate courses covering all types of calculus, linear algebra, differential equations, Fourier theory, signal processing, probability, and simulation.