Dr Jorge Aarao

Dr Jorge Aarao

Senior Lecturer

School of Mathematical Sciences

College of Science

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

I am a Lecturer in the School of Information Technology and Mathematical Sciences at the University of South Australia (UniSA). I am originally from Rio de Janeiro, Brazil, where I lived until 1989 (and again in 1995-97). My PhD was obtained under the supervision of Richard Beals at Yale University, in the United States. I moved to Australia in 2006. I am currently the Program Director for our Bachelor of Mathematical Sciences Program (LBMA), and for our honours program in mathematics (LHMS). I served for three years as Research Degree Coordinator for our School. As well as doing research in mathematics, I am also interested in improving the way mathematics is communicated to students and the public in general. My research interests include partial differential equations, analysis, and probability. My teaching interests include all types of calculus, linear algebra, differential equations, Fourier theory, signal processing, probability, and simulation. I play the recorder, but very poorly. I play chess, and I am a rock-climber.

Partial Differential Equations, in particular parabolic, elliptic, and mixed-type equations; existence and uniqueness, well-posedness, qualitative behaviour, singular perturbations, regularity.,Probabilistic methods in Analysis.

Year Citation
2020 Quinn, D., & Aarao, J. (2020). Blended learning in first year engineering mathematics. ZDM - Mathematics Education, 52(5), 927-941.
DOI
2013 Aarao, J., Miklavcic, S. J., & Ward, D. A. (2013). Extended-domain-eigenfunction method (EDEM): A study of ill posedness and regularization. Journal of physics A: mathematical and theoretical, 46(8, article no. 085207), 1-22.
DOI
2012 Aarão, J., & O'Neill, M. D. (2012). Sharp estimates in some inequalities of Zygmund type for Riesz transforms. Proceedings of the American mathematical society, 140(12), 4227-4233.
DOI
2011 Aarão, J., Bradshaw Hajek, B. H., Miklavcic, S. J., & Ward, D. A. (2011). Numerical implementation of the EDEM for modified Helmholtz BVPs on annular domains. Journal of computational and applied mathematics, 235(5), 1342-1353.
DOI
2010 Aarao, J., Bradshaw Hajek, B. H., Miklavcic, S. J., & Ward, D. A. (2010). The extended-domain-eigenfunction method for solving elliptic boundary value problems with annular domains. Journal of physics a: mathematical and theoretical, 43(18), 185202.
DOI
2007 Aarao, J. (2007). Fundamental Solutions for Some Partial Differential Operators from Fluid Dynamics and Statistical Physics. SIAM Review, 49(2), 303-314.
DOI
2006 Aarao, J., Cox, A., Jones, C., Martelli, M., & Westfahl, A. (2006). A Non-Smooth Band around a Non-Convex Region. College Mathematics Journal.
2006 Aarao, J. (2006). A harmonic note. Math horizons, 14, 14.
2005 Aarao, J. (2005). Forward-backward diffusion with continuous spectrum. Turkish Journal of Mathematics.
2002 Aarao, J., & Martelli, M. (2002). Stationary states for discrete dynamical systems in the plane. Topological methods in non-linear analysis.

Courses I teach

  • MATH 1043 Discrete Mathematics (2025)
  • MATH 1063 Mathematical Methods for Engineers 1 (2025)
  • MATH 4043 Probabilities and Data (2025)
  • MATH 2033 Geometry (2024)
  • MATH 3038 Multivariable Calculus (2024)
  • MATH 4043 Probabilities and Data (2024)

Date Role Research Topic Program Degree Type Student Load Student Name
2025 Co-Supervisor - Doctor of Philosophy Doctorate Full Time Lamahewage Minoli Fernando
2016 Co-Supervisor - Doctor of Philosophy Doctorate Full Time Miss Stephanie Jane Mills

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