Biography

I received my Ph.D. from the University of Pennsylvania’s Electrical and Systems Engineering (ESE) Department under the supervision of Prof. Hamed Hassani in December 2023. Additionally, I earned a Master’s degree in Statistics from The Wharton School, University of Pennsylvania, in December 2021. Before joining Penn, I obtained an M.Sc. degree in Pure Mathematics and two B.Sc. degrees in Pure Mathematics and Electrical Engineering, all from the Sharif University of Technology in Tehran, Iran.

I am deeply passionate about mathematics and have dedicated my academic journey to its pursuit. Throughout my undergraduate and graduate studies, I had the opportunity to engage in a wide array of mathematical disciplines, both through coursework and self-study, reaching advanced levels in various areas. These include but are not limited to:

• Graph Theory
• Number Theory
• Combinatorics
• Abstract Algebra: Group Theory, Ring Theory, Field Theory, Module Theory, Galois Theory, Hypercomplex Algebra
• Operator Theory and Linear Algebra
• Probability and Measure Theory
• Topology
• Manifolds and Differential Geometry
• Fourier Analysis, Complex Analysis, Mathematical Analysis, Functional Analysis
• Ordinary and Partial Differential Equations
• Logic, Set Theory, and Foundations of Mathematics

Additionally, I delved into applied mathematical domains such as Optimization, Mathematical Statistics, Optimal Transport, Coding and Information Theory, and Numerical Analysis.

Initially drawn to pursuing a Ph.D. in pure mathematics, I recognized a significant disparity between theoretical advancements and practical needs in fields like machine learning. Motivated to bridge this gap, I shifted my focus towards applied areas of mathematics, aiming to connect theoretical concepts with real-world problems. This transition led me to explore diverse fields such as Communications, Coding and Information Theory, Optimization, Network Privacy, Artificial Intelligence, and Graph Neural Networks, where I made meaningful contributions.

Currently, my focus lies in delving into the theoretical aspects of Graph Neural Networks and pioneering analytical techniques within the realm of graphs.