CV

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Contact Information

Name Zach Abdulrahman
Professional Title Applied Mathematician
Email zja239@nyu.edu

Professional Summary

Applied mathematician working at the interface of optimization, numerical analysis, and dynamical systems, with applications to computational neuroscience and scientific machine learning.

Experience

  • 2026 - present

    New York, NY

    Visiting Research Scientist
    Schaffer Lab, Icahn School of Medicine at Mount Sinai
    Gradient clipping, transfer, and task-feature learning in recurrent networks.
    • Studying how gradient clipping shapes nonconvex RNN training dynamics, with a focus on transfer and task-feature learning.
    • Characterizing how clipping thresholds and model parameters govern learned solutions and training complexity, toward understanding altered learning in neurological and psychiatric disorders.
  • 2025 - present

    New York, NY

    Graduate Researcher, M.S. Thesis
    Courant Institute of Mathematical Sciences, New York University
    Dynamical systems models of PP1/PP2A regulation in LTP formation.
    • Developing phenomenological dynamical-systems models of PP1/PP2A regulation of CaMKII-dependent LTP formation; manuscript in preparation.
    • Performing numerical bifurcation analysis (continuation, Jacobian spectral analysis) in Python and TensorFlow across kinase, phosphatase, and calcium parameters.
    • Identified tristable regimes set by T286/T305 phosphorylation, and phosphatase thresholds governing calcium-driven LTP/LTD switching.
  • 2025 - present

    New York, NY

    Teaching Assistant
    Courant Institute of Mathematical Sciences, New York University
    • Lead recitations, hold office hours, and develop problem sets and review materials for Calculus I, Calculus II, and Linear Algebra.
  • 2024 - 2025

    Columbia, SC

    Mathematics Research Assistant
    Department of Mathematics, University of South Carolina
    Coarse-grained event tree analysis of GLIF neuronal networks (Advisor: Dr. Yi Sun).
    • Built a Python event tree analysis (ETA) framework for GLIF networks to quantify network dynamics and input discriminability.
    • Used conditional probability distributions over event chains to measure sensitivity to small input perturbations.
    • Showed that synaptic conductance and Gaussian noise critically shape excitability thresholds.
  • 2023 - 2025

    Columbia, SC

    Undergraduate Teaching Assistant
    Department of Mathematics, University of South Carolina
    • Assisted instruction and grading and led problem-solving sessions for Ordinary Differential Equations and Calculus II.
  • 2023 - 2024

    Columbia, SC

    Undergraduate Research Assistant
    Department of Mathematics, University of South Carolina
    GLIF modeling and simulation (Advisor: Dr. Yi Sun).
    • Implemented a GLIF model bridging LIF and Hodgkin-Huxley dynamics for large-scale networks.
    • Built a simulation pipeline for neuronal responses under variable noise and synaptic coupling; supported by the UREP Grant and Magellan Fellowship.
  • 2022 - 2023

    Columbia, SC

    Machine Learning Intern
    Moving Image Research Collections, University of South Carolina
    • Benchmarked image-reconstruction models on NVIDIA GPU clusters, optimizing latency and throughput.
    • Developed C++/OpenGL tooling for automated film restoration.
  • 2022 - 2023

    Columbia, SC

    Software Engineering Intern
    Department of Technology, University of South Carolina
    • Integrated machine-learning image classifiers into an NSF-funded remote-sensing app for mosquito egg abundance.
  • 2021 - 2022

    Columbia, SC

    Undergraduate Research Assistant
    Artificial Intelligence Institute, University of South Carolina
    DRAX group (Dr. Forest Agostinelli).
    • Applied tensor decomposition to PyTorch deep and reinforcement learning models to improve training efficiency in high-dimensional environments.

Education

  • 2025 - 2027

    New York, NY

    M.S.
    New York University, Courant Institute of Mathematical Sciences
    Mathematics, Applied Mathematics Thesis Track
    • Thesis: Phenomenological Models of PP1/PP2A Regulation in LTP Formation: A Dynamical Systems Analysis (working title).
    • Advisor: David McLaughlin.
  • 2021 - 2025

    Columbia, SC

    B.S.
    University of South Carolina
    Computer Science and Mathematics
    • Minor in Data Science.
    • Capstone Scholar.

Publications

  • Phenomenological Models of PP1/PP2A Regulation in LTP Formation: A Dynamical Systems Analysis
    In preparation

    Working title. Manuscript in preparation.

Awards

  • Magellan Research Fellowship
    University of South Carolina
  • College of Arts and Sciences UREP Grant
    University of South Carolina

    Computational neuroscience.

  • First Place, Discovery Day Research Symposium
    University of South Carolina
  • Capstone Scholars Program
    University of South Carolina
  • Molinaroli Engineering Scholarship
    University of South Carolina
  • Dean's List and President's List
    University of South Carolina

    Dean’s List (8 semesters); President’s List (5 semesters).

Skills

Numerical Methods: Proximal and operator-splitting methods, accelerated first-order methods, numerical continuation and bifurcation analysis, ODE integration, matrix factorizations (SVD, least squares)
Scientific Computing: Python (NumPy, SciPy, TensorFlow, PyTorch), MATLAB, C++
Tools: Git, Linux/Unix, LaTeX, GPU clusters, AWS, Google Cloud

Interests

Research Areas: Scientific Machine Learning, Optimization, Numerical Analysis, Dynamical Systems, Computational Neuroscience