CV
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Contact Information
| Name | Zach Abdulrahman |
| Professional Title | Applied Mathematician |
| 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
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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
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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.
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2021 - 2025 Columbia, SC
B.S.
University of South Carolina
Computer Science and Mathematics
- Minor in Data Science.
- Capstone Scholar.
Publications
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Phenomenological Models of PP1/PP2A Regulation in LTP Formation: A Dynamical Systems Analysis
In preparation
Working title. Manuscript in preparation.
Awards
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Magellan Research Fellowship
University of South Carolina
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College of Arts and Sciences UREP Grant
University of South Carolina
Computational neuroscience.
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First Place, Discovery Day Research Symposium
University of South Carolina
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Capstone Scholars Program
University of South Carolina
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Molinaroli Engineering Scholarship
University of South Carolina
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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