My education and skill set cover a wide range of subjects in mathematics as well as engineering. I worked on various categories of systems, and have implemented code solutions written in different programming languages. I am particularly drawn to optimization, modelling, estimation, and automation problems; however, I have experience on analysis and approximation problems as well.
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I received an internship in France as well as a scientific position in Germany. During this period, I learned about modelling, and later applied deep learning solutions to optimal predictor design problems. My project involved augmenting deep learning with shape optimization. Reconstruction of data provided by sensors was also part of the project. Find more about it here.
I finished a PhD in Applied Mathematics at University of Waterloo. My project involved optimization problems that are constrained to nonlinear models. I stated the problem in a general form so that the results can be applied to many nonlinear systems including railway track model, Gordon family of equations, Kuramoto–Sivashinsky equation, and nonlinear heat equation. Here you can find my thesis.
optimal locations are not at the center!
I completed my master's at Sharif University of Technology. In my thesis, I used various tools in functional analysis and semigroup theory to study estimation, stabilization, observability for a micro-beam model. The micro-beam model is an example of a distributed parameter system and is used in atomic microscopes and in micro-electro-mechanical devices. These beams are subjected to non-linear forces that are present in small scales; these forces significantly affect the performance of micro devices.
Sharif University Top Student Award
Pull-in instability in micro beams
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