Hello, I am Rahul Parhi. This is my website.
I am currently a postdoctoral researcher with the Biomedical Imaging Group at the École Polytechnique Fédérale de Lausanne (EPFL), where I am supervised by Michael Unser.
In July 2022 I defended my Ph.D. in Electrical Engineering at the University of Wisconsin–Madison, where I was advised by Robert D. Nowak. During my Ph.D., I was supported by an NSF Graduate Research Fellowship.
I am generally interested in applied mathematics with particular interests in applications of functional and harmonic analysis to problems in signal processing and data science. My Ph.D. research studied the extremal, approximation, and statistical properties of splines and neural networks in a new family of Banach spaces which are, in essence, bounded variation (BV) spaces defined via the Radon transform. For more information, you can take a look at some of my papers.
If you would like to know more about me (because I’m such an interesting person), feel free to look at my résumé.