Mohammad Fereydounian

Mohammad Fereydounian

Researcher

Biography

Short bio: Mohammad Fereydounian received his Ph.D. from the University of Pennsylvania’s Electrical and Systems Engineering (ESE) Department in December 2023. He also earned a Master’s degree in Statistics from The Wharton School, University of Pennsylvania, in December 2021. Before joining Penn, he completed an M.Sc. in Pure Mathematics in 2016 and two B.Sc. degrees, one in Pure Mathematics and one in Electrical Engineering, in 2014, all from the Sharif University of Technology in Tehran, Iran. He is interested in leveraging the power of deep core mathematics to address real-world problems in various practical domains, including economics, machine learning, optimization, and communications. He has also gained experience in teaching through several roles as a guest lecturer and teaching assistant over the years, which have been recognized with teaching awards and certificates.

A perspective on my academic journey: I am deeply passionate about mathematics and have devoted my academic life to its exploration. During my undergraduate and graduate years, I had the privilege of studying a broad spectrum of mathematical disciplines at an advanced level, including:

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

Throughout my long academic journey, I came to realize that many real-world challenges in practical domains like machine learning can be addressed by harnessing the power of pure mathematical knowledge. However, a significant gap exists between the grounded, practical world of practitioners and the abstract, transcendent realm of pure mathematicians. It felt like having a massive engine and a powerful power plant, yet leaving them disconnected. Bridging this gap is no trivial task—it requires the construction of substantial intermediate theoretical frameworks.

Motivated to take steps toward bridging this gap, I chose to apply my years of expertise in pure mathematics to solving real-world problems rather than focusing solely on abstract mathematical questions. This transition led me to explore diverse fields, including Economic Models, Artificial Intelligence, Network Communications, Information and Coding Theory, and Optimization, where I have made meaningful contributions.

And the journey continues…

Interests

  • Mathematical Modeling
  • Mathematical Economics
  • Machine Learning
  • Optimization
  • Network Communications
  • Information and Coding Theory

Education

  • Ph.D. in Electrical and Systems Engineering, 2023

    University of Pennsylvania

  • M.A. in Statistics, 2021

    The Wharton School, University of Pennsylvania

  • M.Sc. in Pure Mathematics, 2016

    Sharif University of Technology, Tehran, Iran

  • B.Sc. in Pure Mathematics, 2014

    Sharif University of Technology, Tehran, Iran

  • B.Sc. in Electrical Engineering, 2014

    Sharif University of Technology, Tehran, Iran

Honors

Graduate Fellowship for Teaching Excellence

CETLI Graduate Fellows are nominated for their teaching excellence by their departments and then selected by CETLI from nominees across the university. The fellowship includes a $6,000 stipend and CETLI Graduate Fellows are responsible for organizing workshops for graduate students across the university, consulting with and observing other TAs, and contributing to other activities to help graduate students develop as teachers.

Certificate in College and University Teaching

The CETLI Teaching Certificate offers a structure through which interested graduate students can prepare themselves to become faculty in the future. The certificate is noted on the student’s transcript, as a statement from the University of Pennsylvania that a graduate student has pursued advanced training in teaching.

Best Teaching Assistant Award for A Doctoral Student

This award is granted in recognition of an exeptional performance as a teaching assistance among the PhD students of ESE department.

The Solomon M. Swaab Endowment Fund

The Solomon M. Swaab Endowment Fund includes a $2000 stipend and is awarded in recognition of impressive achievements of a student which ESE faculty find to be exceptional among the already exceptional students to whom Dean’s Fellowships is offered.

The Dean’s Fellowship for The Graduate Study

This fellowship is worth $67000 per year and is awarded to ESE PhD students in recognition of their exceptional performance and potential for continued high achievement in graduate work.

Guest Lecturer

Reinforcement Learning (ESE 680-005)

Taught 1 case study lecture on Wasserstein metric and its connection to reinforcement learning.

Statistical Learning (ESE 542)

Taught 3 lectures on the statistical analysis of multi-dimensional regression.

Machine Learning (CIS 520)

Taught 2 tutorial sessions on convex optimization review.

Linear Systems Theory (ESE 500)

Taught 4 lectures on the stability of linear systems, the MMSE analysis for linear systems, and Kalman filters.

Galois Theory (Abstract Algebra III)

Taught 2 lectures on Galois field extensions.

Publications

Robustness Checks in Structural Analysis

Provably Private Distributed Averaging Consensus: An Information-Theoretic Approach

Channel Coding at Low Capacity

What Functions Can Graph Neural Networks Generate?

Low-Complexity Decoding of a Class of Reed-Muller Subcodes for Low-Capacity Channels

Non-asymptotic Coded Slotted ALOHA

Hidden Information, Teamwork, and Prediction in Trick-Taking Card Games

Contact