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Mathematician Dr. Maryam Parvizi receives Humboldt Research Fellowship

Mathematician Dr. Maryam Parvizi receives Humboldt Research Fellowship

Dr. Maryam Parvizi has successfully applied for a prestigious Humboldt Research Fellowship granted by the Alexander von Humboldt Foundation. The Mathematician receives two-year funding for her re-search in applied mathematics on numerical treatments of partial differential equations. At Leibniz University Hannover (LUH), Parvizi belongs to the research team of Prof. Dr. Thomas Wick at the In-stitute of Applied Mathematics (IfAM). Furthermore, he is a member of the Cluster of Excellence PhoenixD: Photonics, Optics, and Engineering - Innovation across Disciplines which is working on novel integrated optics.

A native of Iran, Parvizi got her PhD degree with one of the world-leading numerical analysis scientists, Professor Jens Markus Melenk, at the Technical University Wien in Austria. After completing her thesis, she came to Hannover. "It was a great success in December 2020 to hire her for our institute", says IfAM’s Deputy Manager Wick. "The Humboldt Postdoc Fellowship confirms her outstanding expertise. Furthermore, Maryam's track record shows that she is open for interdisciplinary as well as disciplinary collaborations and shows breadth and depth of her research."

Parvizi works on the theory of model equations focusing on the so-called Maxwell equation. With this fundamental model in electromagnetics, scientists describe electrical fields. The technology runs applications like MRI scanners (magnetic resonance imaging scanners). "With the funding of the Humboldt Fellowship, I plan to extend my previous research and observe the preconditioners for the Maxwell equation and their efficiency", says Dr. Maryam Parvizi.

Partial differential equations are vital points in applied science since they enable researchers to model physical, biological and engineering problems. "Electromagnetic problems can be solved using different numerical methods such as finite elements, boundary elements, and FEM-BEM coupling. "But all of these methods have a common drawback. The arising linear system is ill-conditioned, which means solving these linear systems causing a huge error in the numerical solution.", says Parvizi. "Thus, we need to use preconditioner to solve these systematic problems. I want to find numerical techniques to overcome these computational challenges", says Parvizi.

Prof. Wick supported Parvizi's application to the Alexander von Humboldt Foundation. He believes that Parvizis research fits very well in the overall scope of IfAM, which comprises modelling, analysis, numerics, and simulation of nonlinear, coupled, multiphysics problems with a high international reputation. Wick himself has just accepted a Full Professorship (W3) position in Scientific Computing from LUH.

"The Cluster of Excellence PhoenixD and Leibniz University Hannover provides extraordinary opportunities for young scientists", says Wick. "Especially for applied mathematicians, several doors are open: taking interesting, complicated practical problems, for instance, laser material processing, with a promising future and investigating them from a purely mathematical point of view in terms of well-posedness, physics-based discretizations, and problem-specific numerical solvers. On the other hand, as previously said, interdisciplinary collaborations are also open and highly appreciated by the other disciplines when mathematicians get interested and contribute. In both directions, I strongly believe that Maryam will make significant contributions", says Wick.

Parvizi, whose husband Dr. Amirreza Khodadadian is also a scientist in scientific computing at LUH, does not only have a scientific agenda. The 33-year-old woman hopes to act as a role model. "I hope to encourage all mathematicians, especially women, to believe in themselves and apply for the fellowship", says Parvizi. With the awarded research scholarship, the Alexander von Humboldt Foundation supports above-average qualified scientists from abroad who would like to realize an independent research project with a host of their choice in Germany during a stay of six to 24 months. In selecting the scholarship holders, the Foundation evaluates, among other things, the originality and innovative potential of the proposed research project, according to the Foundation's programme information. In recent years, an average of 25 to 30 percent of applicants has received funding.

The Foundation encourages their fellows to build up their network actively. Parvizi is looking forward to participating in several events during the funding period and beyond. In the past, Germany's Federal President attended Humboldt's Annual Meeting in Berlin.